Henrywood and Agarwal, Equation (9a)

Time bar (total: 8.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze592.0ms (6.7%)

Memory
-11.5MiB live, 664.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
12.5%12.5%87.2%0.3%0%0%0%7
12.5%12.5%87.2%0.3%0%0%0%8
12.5%12.5%87.2%0.3%0%0%0%9
12.5%12.5%87.2%0.3%0%0%0%10
12.5%12.5%87.2%0.3%0%0%0%11
18.8%18.7%81%0.3%0%0%0%12
Compiler

Compiled 20 to 19 computations (5% saved)

sample2.3s (25.6%)

Memory
31.8MiB live, 1 812.0MiB allocated
Samples
1.2s8 256×0valid
422.0ms2 713×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 624.0ms (53.1% of total)
ival-div: 209.0ms (17.8% of total)
ival-pow2: 187.0ms (15.9% of total)
ival-sqrt: 78.0ms (6.6% of total)
ival-sub: 51.0ms (4.3% of total)
exact: 12.0ms (1% of total)
ival-true: 9.0ms (0.8% of total)
ival-assert: 5.0ms (0.4% of total)
Bogosity

explain225.0ms (2.6%)

Memory
-10.6MiB live, 350.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-2(-5.236354518265458e-183 4.0927160475712363e+68 5.596002302093831e-280 -1.6338516004732625e-160 3.4779716952305624e+161 -4.088310514508643e-289)(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
190-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
160-0-(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80-0-(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (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 M D)
00-0-w0
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (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-M
00-0-h
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))oflow-rescue190
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow51
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))overflow50
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))overflow31
(*.f64 M D)overflow17
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow26
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow50
(/.f64 h l)overflow28
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o90
*.f64(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))n*o80
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n60
(*.f64 M D)overflow17
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u50
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow51
(*.f64 M D)overflow17
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow26
(/.f64 h l)underflow39
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))u*o20
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))underflow101
(*.f64 M D)underflow32
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))underflow56
(/.f64 h l)overflow28
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))u/n10
(*.f64 M D)underflow32
Confusion
Predicted +Predicted -
+3913
-6198
Precision
0.8666666666666667
Recall
0.75
Confusion?
Predicted +Predicted MaybePredicted -
+39013
-60198
Precision?
0.8666666666666667
Recall?
0.75
Freqs
test
numberfreq
0211
140
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 307 to 72 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 12.0ms (37.2% of total)
ival-div: 8.0ms (24.8% of total)
ival-pow2: 5.0ms (15.5% of total)
ival-sqrt: 3.0ms (9.3% of total)
ival-sub: 2.0ms (6.2% of total)
ival-true: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess159.0ms (1.8%)

Memory
2.8MiB live, 278.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1528492
21701492
35688492
01718
02618
14918
212418
392618
4513218
0825418
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0)
Symmetry

(abs d)

(abs D)

(abs M)

(negabs w0)

(sort M D)

Compiler

Compiled 18 to 17 computations (5.6% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize42.0ms (0.5%)

Memory
6.2MiB live, 90.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.9259899052221723
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy3.984048138754801
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
accuracy10.219346699635105
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Samples
33.0ms256×0valid
Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (36.3% of total)
ival-div: 4.0ms (24.2% of total)
ival-pow2: 4.0ms (24.2% of total)
ival-sqrt: 2.0ms (12.1% of total)
ival-sub: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series67.0ms (0.8%)

Memory
-18.0MiB live, 139.9MiB allocated
Counts
4 → 81
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D M) d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
Calls

18 calls:

TimeVariablePointExpression
6.0ms
h
@inf
((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))))
5.0ms
M
@inf
((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))))
5.0ms
D
@inf
((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))))
4.0ms
l
@0
((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))))
4.0ms
w0
@-inf
((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))))

simplify72.0ms (0.8%)

Memory
13.2MiB live, 130.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06024226
023424090
Stop Event
iter limit
iter limit
node limit
Counts
81 → 80
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D M) d))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))) w0)
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64)))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64))))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 h h) w0)) (*.f64 l l))) #s(literal -1/128 binary64)))
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 h h) w0)) (*.f64 l l))) #s(literal -1/128 binary64))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) w0)
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) w0)
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 w0 (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)

rewrite149.0ms (1.7%)

Memory
16.2MiB live, 218.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01754
02654
18554
257554
0821452
Stop Event
iter limit
node limit
iter limit
Counts
4 → 438
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) (/.f64 h l))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 M M)) (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) M)))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 D M)) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 h l) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 #s(literal -2 binary64) d)) (*.f64 D M))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))
(*.f64 (*.f64 (/.f64 h l) (*.f64 M M)) (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) M)))
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(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M)))
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D)))
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))))) (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))))
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64))))

eval75.0ms (0.9%)

Memory
-10.1MiB live, 145.3MiB allocated
Compiler

Compiled 15 498 to 3 117 computations (79.9% saved)

prune23.0ms (0.3%)

Memory
22.9MiB live, 61.8MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New50018518
Fresh000
Picked011
Done000
Total50019519
Accuracy
91.1%
Counts
519 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0)
65.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d)))))
56.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h))))))
64.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h))))))
68.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
68.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
58.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
80.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
82.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))))
72.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
75.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
77.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
50.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
66.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
55.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
54.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
53.1%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
Compiler

Compiled 886 to 759 computations (14.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize167.0ms (1.9%)

Memory
-6.8MiB live, 311.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.9259899052221723
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))
accuracy10.979623121166282
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))
accuracy11.526000179537562
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))
accuracy4.148061670132425
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
accuracy5.742758545970392
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
accuracy6.5406606433507495
(*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
accuracy5.4363270606734595
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))
accuracy6.285246225397437
(*.f64 (/.f64 h l) D)
accuracy6.489610136330672
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))
accuracy6.857647509220561
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))
accuracy1.9259899052221723
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
accuracy18.672031723042064
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
accuracy4.230703808960259
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))
accuracy5.261132378089545
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
accuracy7.792844291543537
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
Samples
102.0ms225×0valid
15.0ms31×0invalid
Compiler

Compiled 1 118 to 122 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 37.0ms (48.1% of total)
ival-sqrt: 14.0ms (18.2% of total)
ival-div: 10.0ms (13% of total)
ival-sub: 6.0ms (7.8% of total)
ival-pow2: 5.0ms (6.5% of total)
ival-pow: 5.0ms (6.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series137.0ms (1.6%)

Memory
-22.8MiB live, 293.7MiB allocated
Counts
18 → 132
Calls
Call 1
Inputs
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))
(*.f64 (/.f64 h l) D)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))
(*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* -2 (/ (* D (* M (* d h))) l))
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(* 4 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (pow M 2)) d))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(/ (* D h) d)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(/ (* D h) l)
(/ (* (pow D 2) h) (* (pow d 2) l))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
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(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
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(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))))))))
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))))
Calls

18 calls:

TimeVariablePointExpression
13.0ms
M
@-inf
((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l)))))))
13.0ms
d
@0
((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l)))))))
11.0ms
D
@inf
((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l)))))))
9.0ms
l
@0
((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l)))))))
8.0ms
D
@0
((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l)))))))

simplify107.0ms (1.2%)

Memory
5.1MiB live, 161.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09146645
035306427
Stop Event
iter limit
iter limit
node limit
Counts
132 → 131
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(* 1/4 (/ (* D (pow M 2)) d))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(* -2 (/ (* D (* M (* d h))) l))
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(* 4 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (pow M 2)) d))
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(/ (* D h) d)
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))))
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(/ (* D h) l)
(/ (* (pow D 2) h) (* (pow d 2) l))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
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(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))
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(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
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(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l)
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(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
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(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
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(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))))))))
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))) w0)
(* 1/4 (/ (* D (pow M 2)) d))
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1/4 binary64))
(* 1/4 (/ (* D (pow M 2)) (* d l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) D) d) l) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
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w0
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))
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(fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) (*.f64 (pow.f64 D #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h))) (*.f64 l l)))) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) (*.f64 (pow.f64 D #s(literal 4 binary64)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h))) (*.f64 l l)))))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) w0)
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) w0)
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) h) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h))) (pow.f64 D #s(literal 4 binary64))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64)))) (pow.f64 D #s(literal 6 binary64))) l) #s(literal -4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h))))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 w0 (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d)
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) (*.f64 d d)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 4 binary64))) (*.f64 l l)))) (*.f64 d d) #s(literal 1 binary64))
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 l l)) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 d d)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) #s(literal -4 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -2 binary64))) (*.f64 d d) #s(literal 1 binary64))
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d)
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d)
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
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(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d))

rewrite161.0ms (1.8%)

Memory
-5.6MiB live, 207.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057269
093273
1331263
22790243
08403242
Stop Event
iter limit
node limit
iter limit
Counts
18 → 527
Calls
Call 1
Inputs
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))
(*.f64 (/.f64 h l) D)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))
(*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
Outputs
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 D d) M) M))
(*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d)))
(*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d)))
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))
(*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) d))
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))))
(pow.f64 (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (neg.f64 D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (/.f64 d D)))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (/.f64 d D))
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) d)
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (neg.f64 (/.f64 d D)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 d D))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 #s(literal 1/4 binary64) l))
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (pow.f64 l #s(literal -1 binary64))))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)))
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (/.f64 D d)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (/.f64 D d) l))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (pow.f64 (*.f64 (/.f64 d D) l) #s(literal -1 binary64)))
(*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)))
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 l #s(literal -1 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) #s(literal 1 binary64))) (neg.f64 (*.f64 d l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal 1 binary64))) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (*.f64 (neg.f64 d) l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (*.f64 (/.f64 d D) l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 l #s(literal -1 binary64))) d)
(/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) (neg.f64 d))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) (/.f64 d D))
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) d)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) (neg.f64 (*.f64 d l)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) #s(literal 1 binary64)) (*.f64 d l))
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 (neg.f64 d) l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 (/.f64 d D) l))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal 1 binary64)) l)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 d l))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) l)
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) l))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64)))))))
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(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) (neg.f64 D)) #s(literal -1 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)))))))
(sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))))

eval90.0ms (1%)

Memory
2.8MiB live, 159.3MiB allocated
Compiler

Compiled 23 005 to 3 845 computations (83.3% saved)

prune30.0ms (0.3%)

Memory
-0.9MiB live, 85.0MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New62212634
Fresh4913
Picked415
Done011
Total63023653
Accuracy
92.2%
Counts
653 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
65.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d)))))
56.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h))))))
64.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h))))))
68.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
58.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
81.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d)))))
83.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l))))
82.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))))
80.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
84.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
75.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
82.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
84.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
77.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
81.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
55.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
53.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
75.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
55.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
54.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
31.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
Compiler

Compiled 1 122 to 920 computations (18% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize191.0ms (2.2%)

Memory
17.3MiB live, 378.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.641112651967592
(*.f64 M (/.f64 D d))
accuracy3.9353220307704437
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)
accuracy4.029083161351243
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h)
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)))
accuracy3.7857685283129996
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)
accuracy3.98682772077956
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
accuracy6.550070153798855
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))
accuracy6.682480780618055
(*.f64 (/.f64 h l) (*.f64 D M))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
accuracy4.6586065601313145
(*.f64 (*.f64 M M) D)
accuracy5.742758545970392
(*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
accuracy8.7737943001582
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))
accuracy6.724713527939357
(*.f64 (*.f64 d d) h)
accuracy10.68358094962428
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))
accuracy11.568753186432986
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)))
accuracy11.963681957062732
#s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
accuracy4.672671453733652
(*.f64 h (*.f64 (/.f64 M d) M))
accuracy5.376826092899718
(/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l)
accuracy5.742758545970392
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
Samples
125.0ms225×0valid
16.0ms31×0invalid
Compiler

Compiled 1 371 to 152 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 56.0ms (57.8% of total)
ival-div: 22.0ms (22.7% of total)
ival-sqrt: 8.0ms (8.3% of total)
ival-sub: 6.0ms (6.2% of total)
ival-pow2: 2.0ms (2.1% of total)
ival-add: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series116.0ms (1.3%)

Memory
8.3MiB live, 205.0MiB allocated
Counts
20 → 134
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l)
(*.f64 h (*.f64 (/.f64 M d) M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)))
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))
(*.f64 (*.f64 d d) h)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))
(*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 M M) D)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 h l) (*.f64 D M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)
(*.f64 M (/.f64 D d))
Outputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/ (* (pow M 2) h) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)
(/ (* (pow M 2) (* (pow d 2) h)) l)
(* D (pow M 2))
(/ (* D (* M h)) l)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 2 (/ d (* D M)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2))))))))
(* (pow d 2) h)
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))))))))
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
Calls

18 calls:

TimeVariablePointExpression
17.0ms
w0
@0
((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d)))
9.0ms
h
@-inf
((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d)))
9.0ms
D
@-inf
((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d)))
8.0ms
M
@inf
((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d)))
7.0ms
d
@0
((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d)))

simplify103.0ms (1.2%)

Memory
-6.0MiB live, 148.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09566616
035356393
Stop Event
iter limit
iter limit
node limit
Counts
134 → 134
Calls
Call 1
Inputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/ (* (pow M 2) h) d)
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)
(/ (* (pow M 2) (* (pow d 2) h)) l)
(* D (pow M 2))
(/ (* D (* M h)) l)
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 2 (/ d (* D M)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)))))
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2))))))
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2))))))))
(* (pow d 2) h)
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2))))))
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))))))))
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
Outputs
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))
(/ (* (pow M 2) h) d)
(/.f64 (*.f64 (*.f64 M M) h) d)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
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(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)))))
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(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2))))))))
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(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
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(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
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(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 d (*.f64 D D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))
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(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (*.f64 l l) d)) #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 l l)) #s(literal -1/32 binary64))) d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite177.0ms (2%)

Memory
-2.4MiB live, 183.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070312
0115312
1408308
23087296
09050294
Stop Event
iter limit
node limit
iter limit
Counts
20 → 656
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l)
(*.f64 h (*.f64 (/.f64 M d) M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)))
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))
(*.f64 (*.f64 d d) h)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))
(*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 M M) D)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 h l) (*.f64 D M))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)
(*.f64 M (/.f64 D d))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D)) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))) (/.f64 h l))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (/.f64 #s(literal 1/2 binary64) l)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) #s(literal 1/2 binary64)) (/.f64 D d))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) l)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)))) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 d (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))))
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)))) (*.f64 (neg.f64 l) d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) d)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)) d)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) d)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) l)
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) (*.f64 D #s(literal 1/2 binary64))) d)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))
(/.f64 (neg.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h))))
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M))) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 (neg.f64 l) d))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)) d))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) l)
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 d h) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 h l))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 d #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) h)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) M)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) (/.f64 M d)) M)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) M) (/.f64 M d))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) h) l) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) h) l))
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) l)) (*.f64 (*.f64 (/.f64 M d) M) h))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) h) d) l) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) #s(literal 1/2 binary64)) l) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (/.f64 D l))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (pow.f64 l #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 M d) h) (*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) l))))
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) (/.f64 h (*.f64 l d)))
(*.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) (*.f64 h (pow.f64 (*.f64 l d) #s(literal -1 binary64))))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (*.f64 M (/.f64 h l)))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (*.f64 M M) D) h) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) h) d) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) h) d))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (pow.f64 (*.f64 (neg.f64 l) d) #s(literal -1 binary64)))
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) (/.f64 h l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h l)))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (pow.f64 l #s(literal -1 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) #s(literal 1 binary64)) l)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 l h))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l))
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))))
(*.f64 (fabs.f64 (/.f64 D d)) M)
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (exp.f64 (log.f64 (/.f64 D d))) (exp.f64 (log.f64 M)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) (sqrt.f64 (*.f64 (/.f64 D d) M)))
(*.f64 (*.f64 D M) (fabs.f64 (pow.f64 d #s(literal -1 binary64))))
(*.f64 (*.f64 D M) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 D d) M)
(*.f64 D (fabs.f64 (/.f64 M d)))
(*.f64 D (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(*.f64 D (/.f64 M d))
(*.f64 M (fabs.f64 (/.f64 D d)))
(*.f64 M (/.f64 D d))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 M (neg.f64 D))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 D M))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 M #s(literal 1 binary64))) (neg.f64 (/.f64 d D)))
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d)))
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) d)
(/.f64 (fabs.f64 (*.f64 M #s(literal 1 binary64))) (fabs.f64 (/.f64 d D)))
(/.f64 (fabs.f64 (neg.f64 (*.f64 D M))) d)
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 d)))
(/.f64 (*.f64 M (neg.f64 D)) (neg.f64 d))
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 D M))))
(/.f64 (neg.f64 M) (neg.f64 (/.f64 d D)))
(/.f64 (*.f64 D M) d)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D M))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D M)))
(/.f64 M (fabs.f64 (/.f64 d D)))
(/.f64 M (/.f64 d D))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (*.f64 (/.f64 D d) M)))
(fabs.f64 (*.f64 (/.f64 D d) M))
(exp.f64 (log.f64 (*.f64 (/.f64 D d) M)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 D d) M))) (sinh.f64 (log.f64 (*.f64 (/.f64 D d) M))))

eval111.0ms (1.3%)

Memory
18.0MiB live, 178.6MiB allocated
Compiler

Compiled 26 815 to 4 257 computations (84.1% saved)

prune37.0ms (0.4%)

Memory
-13.1MiB live, 69.3MiB allocated
Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New68113694
Fresh41216
Picked415
Done022
Total68928717
Accuracy
92.2%
Counts
717 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
83.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l))))
65.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d)))))
56.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h))))))
64.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h))))))
68.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
58.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
77.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))))
69.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
70.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
56.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
64.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) (*.f64 D M)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (/.f64 h l)) #s(literal -1 binary64))))))
80.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
75.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
82.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
84.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
69.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
77.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
67.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
55.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
77.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
77.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
55.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
58.6%
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
54.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
70.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
31.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
Compiler

Compiled 1 361 to 1 124 computations (17.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize177.0ms (2%)

Memory
13.4MiB live, 288.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.656737651967592
(*.f64 (/.f64 D d) M)
accuracy3.9353220307704437
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)
accuracy4.26427944867364
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))
accuracy5.97334118410222
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))
accuracy7.082585609681539
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M))
accuracy7.157252498265375
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))
accuracy3.175113280954351
(*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
accuracy3.657273090565611
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
accuracy4.861646906493421
(/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
accuracy6.550070153798855
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))
accuracy6.345971109024084
(*.f64 (*.f64 d d) l)
accuracy10.827968582901352
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
accuracy13.053319297034692
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
accuracy14.918927838248363
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
accuracy3.9859805840459894
(*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D))
accuracy4.436545475734922
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
accuracy5.742758545970392
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
accuracy5.838873279288899
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l)
Samples
119.0ms244×0valid
5.0ms12×0invalid
Compiler

Compiled 1 237 to 138 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 48.0ms (57.1% of total)
ival-div: 15.0ms (17.8% of total)
ival-sqrt: 8.0ms (9.5% of total)
ival-sub: 6.0ms (7.1% of total)
ival-pow2: 5.0ms (5.9% of total)
ival-add: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series74.0ms (0.8%)

Memory
-8.3MiB live, 107.2MiB allocated
Counts
20 → 91
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l)
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(*.f64 (*.f64 d d) l)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))
(/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h))
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)
(*.f64 (/.f64 D d) M)
Outputs
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D (* (pow M 2) h)) d))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) h))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(* (pow d 2) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
Calls

18 calls:

TimeVariablePointExpression
8.0ms
M
@inf
((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M))
5.0ms
d
@inf
((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M))
5.0ms
h
@-inf
((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M))
5.0ms
M
@-inf
((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M))
5.0ms
h
@0
((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M))

simplify79.0ms (0.9%)

Memory
0.8MiB live, 87.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06604297
024074156
Stop Event
iter limit
iter limit
node limit
Counts
91 → 91
Calls
Call 1
Inputs
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
1
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(* 1/2 (/ (* D (* (pow M 2) h)) d))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(* (pow D 2) (* (pow M 2) h))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(* 1/2 (/ (* D M) d))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(/ (* D M) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2)))))))
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3)))))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2)))))))
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3)))))))))
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))))
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l))))
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))))
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l)))))
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))))
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l)
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l)
(* (pow d 2) l)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l)
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3)))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3)))))))
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l)))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
Outputs
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64))
(* 1/2 (/ (* D (* (pow M 2) h)) d))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) #s(literal 1/2 binary64))
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))
(* (pow D 2) (* (pow M 2) h))
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))))
(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 l d))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 d d)) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 (*.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 l d))) (*.f64 M M) #s(literal 1 binary64))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d))
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 d d)) #s(literal 1/4 binary64))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l d))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d))))) M)
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d)))))) M)
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d))))))) M)
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)))
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M))
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M))
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l d))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)))
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d))))) M))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d)))))) M))
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d))))))) M))
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D) #s(literal 1 binary64))
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(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))))
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))
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(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 3 binary64)) l)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 d d)) #s(literal -1/32 binary64))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64))
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d)
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d)
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) l) h)) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d)
(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 h d))))) (*.f64 d d) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 h d) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) d) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 h d))))) (*.f64 d d) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d)
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (*.f64 l l) d)) #s(literal 1/32 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 l l)) #s(literal -1/32 binary64))) d))) d) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite144.0ms (1.6%)

Memory
11.0MiB live, 164.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061294
0104294
1379294
23115278
08301278
Stop Event
iter limit
node limit
iter limit
Counts
20 → 664
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l)
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))
(*.f64 (*.f64 d d) l)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))
(/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)
(*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h))
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)
(*.f64 (/.f64 D d) M)
Outputs
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 D (pow.f64 l #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) h)) (/.f64 D l))
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (/.f64 M l))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 h (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)))
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) l))
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (/.f64 M d) M) l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l))
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (pow.f64 l #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 h M) (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)))
(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)) l))
(*.f64 (/.f64 M d) (*.f64 (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1 binary64))))
(*.f64 (/.f64 M d) (*.f64 (*.f64 h M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)))
(pow.f64 (/.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) d)
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) #s(literal 1 binary64)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) l)
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (neg.f64 l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M))) #s(literal -1 binary64)) (pow.f64 (/.f64 d #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)) #s(literal 1/2 binary64)) (/.f64 D d))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) l) (/.f64 #s(literal 1/2 binary64) d))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) d) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) l) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) d))
(*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) l))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M))) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) d))
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) l) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) d) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) (/.f64 #s(literal 1/2 binary64) (*.f64 l d)))
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(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 M M))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 D d) M))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) h)))
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h)))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) h))
(*.f64 h (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) (pow.f64 (neg.f64 l) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))))
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l))
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (pow.f64 l #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 h l)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l))
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(pow.f64 (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 l h))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) #s(literal 1 binary64)) l)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h))))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l)
(/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (/.f64 l h))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) l))
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))))
(*.f64 (fabs.f64 (/.f64 D d)) M)
(*.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (pow.f64 d #s(literal -1 binary64))))
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D d))))
(*.f64 (exp.f64 (log.f64 (/.f64 D d))) (exp.f64 (log.f64 M)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) (sqrt.f64 (*.f64 (/.f64 D d) M)))
(*.f64 (*.f64 D M) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 D M) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 D d) M)
(*.f64 D (fabs.f64 (/.f64 M d)))
(*.f64 D (pow.f64 (/.f64 M d) #s(literal 1 binary64)))
(*.f64 D (/.f64 M d))
(*.f64 M (fabs.f64 (/.f64 D d)))
(*.f64 M (/.f64 D d))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64))
(pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64))
(/.f64 (fabs.f64 (*.f64 M #s(literal 1 binary64))) (fabs.f64 (/.f64 d D)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) d)
(/.f64 (fabs.f64 (*.f64 D M)) d)
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 d)))
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D))
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D M))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D M)))
(/.f64 M (fabs.f64 (/.f64 d D)))
(/.f64 M (/.f64 d D))
(fabs.f64 (neg.f64 (*.f64 (/.f64 D d) M)))
(fabs.f64 (*.f64 (/.f64 D d) M))
(exp.f64 (log.f64 (*.f64 (/.f64 D d) M)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 D d) M))) (sinh.f64 (log.f64 (*.f64 (/.f64 D d) M))))

eval96.0ms (1.1%)

Memory
15.2MiB live, 169.9MiB allocated
Compiler

Compiled 20 973 to 3 842 computations (81.7% saved)

prune54.0ms (0.6%)

Memory
-15.2MiB live, 107.0MiB allocated
Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New61018628
Fresh11920
Picked415
Done123
Total62630656
Accuracy
92.2%
Counts
656 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d)))))
56.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h))))))
86.5%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
58.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
78.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d)))))
70.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
83.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))
62.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
60.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
86.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
82.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
77.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
69.0%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
55.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
78.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
77.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
55.2%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
58.6%
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
66.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
58.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
56.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
60.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
75.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
66.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
62.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
68.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
62.9%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
65.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
70.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
31.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
Compiler

Compiled 2 604 to 1 215 computations (53.3% saved)

regimes444.0ms (5%)

Memory
-12.8MiB live, 319.5MiB allocated
Counts
62 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) (*.f64 D M)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (/.f64 h l)) #s(literal -1 binary64))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
Calls

15 calls:

181.0ms
(*.f64 M D)
41.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
35.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
18.0ms
w0
18.0ms
D
Results
AccuracySegmentsBranch
88.6%2w0
88.4%2M
89.4%2D
86.5%1h
88.8%2l
89.4%2d
90.6%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
90.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
90.6%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
90.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
90.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
90.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.5%1(*.f64 M D)
89.4%2(*.f64 #s(literal 2 binary64) d)
90.6%3(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes73.0ms (0.8%)

Memory
-17.6MiB live, 139.8MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))
Calls

6 calls:

14.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
12.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
11.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
10.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
86.5%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
89.9%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
89.9%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.5%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.5%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 78 to 82 computations (-5.1% saved)

regimes129.0ms (1.5%)

Memory
21.7MiB live, 177.3MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
Calls

10 calls:

16.0ms
M
14.0ms
l
13.0ms
d
13.0ms
D
12.0ms
w0
Results
AccuracySegmentsBranch
86.5%1h
86.5%1M
86.5%1w0
86.5%1l
86.5%1(/.f64 h l)
86.5%1d
86.5%1(*.f64 #s(literal 2 binary64) d)
86.5%1D
86.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 28 to 72 computations (-157.1% saved)

regimes165.0ms (1.9%)

Memory
25.4MiB live, 220.0MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d)))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))
Calls

15 calls:

21.0ms
h
15.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
12.0ms
(/.f64 h l)
11.0ms
M
10.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
86.6%3d
84.6%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
86.8%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
86.8%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
85.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
85.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.6%3(*.f64 #s(literal 2 binary64) d)
85.7%3(/.f64 h l)
82.2%1w0
86.6%3M
84.8%2D
85.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
87.1%3(*.f64 M D)
82.2%1h
82.2%1l
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes112.0ms (1.3%)

Memory
-21.5MiB live, 203.8MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
Calls

12 calls:

13.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
12.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
10.0ms
M
9.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
9.0ms
(*.f64 #s(literal 2 binary64) d)
Results
AccuracySegmentsBranch
79.9%2(/.f64 h l)
81.8%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
81.5%2D
82.7%2M
84.1%2d
84.1%2(*.f64 #s(literal 2 binary64) d)
84.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
84.6%3(*.f64 M D)
83.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
82.0%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
82.0%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Compiler

Compiled 90 to 122 computations (-35.6% saved)

regimes33.0ms (0.4%)

Memory
26.1MiB live, 75.0MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))
Calls

4 calls:

10.0ms
d
8.0ms
(*.f64 #s(literal 2 binary64) d)
6.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
6.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
Results
AccuracySegmentsBranch
84.0%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
84.0%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
82.1%2d
82.1%2(*.f64 #s(literal 2 binary64) d)
Compiler

Compiled 35 to 45 computations (-28.6% saved)

regimes92.0ms (1%)

Memory
-19.3MiB live, 137.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

12 calls:

9.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
8.0ms
M
8.0ms
h
8.0ms
(*.f64 #s(literal 2 binary64) d)
8.0ms
d
Results
AccuracySegmentsBranch
80.8%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.8%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.1%2d
81.1%2(*.f64 #s(literal 2 binary64) d)
79.5%2M
79.4%2(*.f64 M D)
75.0%1w0
75.0%1h
75.0%1l
81.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
80.6%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.6%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
Compiler

Compiled 71 to 110 computations (-54.9% saved)

regimes10.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

2 calls:

5.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
80.7%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
81.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 31 to 30 computations (3.2% saved)

regimes5.0ms (0.1%)

Memory
-30.9MiB live, 7.9MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

4.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
81.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes14.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

4 calls:

3.0ms
d
3.0ms
(*.f64 #s(literal 2 binary64) d)
3.0ms
D
3.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
75.8%2d
75.8%2(*.f64 #s(literal 2 binary64) d)
76.5%2D
80.9%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 18 to 33 computations (-83.3% saved)

regimes46.0ms (0.5%)

Memory
-15.9MiB live, 22.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

6 calls:

31.0ms
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
3.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
3.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
3.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
3.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
80.6%3(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
80.6%3(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
80.6%3(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
79.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
79.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
80.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 78 to 82 computations (-5.1% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
80.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes17.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

9 calls:

2.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
2.0ms
M
2.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
2.0ms
(/.f64 h l)
2.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
77.7%2(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
77.7%2(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
77.7%2(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
77.8%2(*.f64 M D)
78.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
78.1%2M
73.6%2(/.f64 h l)
78.6%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 85 to 102 computations (-20% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

1 calls:

1.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.5%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 13 to 13 computations (0% saved)

regimes18.0ms (0.2%)

Memory
-0.6MiB live, 38.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

15 calls:

2.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
1.0ms
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
1.0ms
w0
1.0ms
(*.f64 #s(literal 2 binary64) d)
1.0ms
(/.f64 h l)
Results
AccuracySegmentsBranch
70.5%1(/.f64 h l)
70.5%1d
70.5%1(*.f64 #s(literal 2 binary64) d)
70.5%1D
70.5%1w0
70.5%1h
70.5%1l
70.5%1(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))))
70.5%1(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))
70.5%1(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))
70.5%1(*.f64 M D)
70.5%1M
70.5%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
70.5%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
70.5%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7731489365607005e-14
4.1470649472946585e-12
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.353608489952719e-38
1.1591086832256975e-37
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.936086119752712e-24
2.551956457391808e-23
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.468679999749909e-123
3.150813055662005e-122
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch5.0ms (0.1%)

Memory
-42.6MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000001124
1.000008189665072
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.9145325376084522e+114
-2.1027844067121513e+51
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.1228375141901804e-13
-4.5837727102804774e-17
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.378398083012743e+144
-1.2595718295578452e+141
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.378398083012743e+144
-1.2595718295578452e+141
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-1.9587946125264602e+295
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-1.9587946125264602e+295
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-1.9587946125264602e+295
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-inf
-1.9587946125264602e+295
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify241.0ms (2.7%)

Memory
17.9MiB live, 94.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198927
1315927
2442927
3691927
41143927
51828927
62464927
73060927
83378927
93634927
103858927
113886927
123888927
133950927
144013927
154077927
164205927
174397927
184605927
194813927
204893927
214909927
224909927
234909927
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4503622145368633/4503599627370496 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Outputs
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (/.f64 h l)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 h M) (/.f64 M d))) l)))) w0))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))))
(if (<=.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 D d) M)) l))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) d)))) w0))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 D d) M)) l))) w0)
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))))
(if (<=.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) D) h)))) w0))
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))))
(if (<=.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) (*.f64 (*.f64 h D) M)) l))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) #s(literal 1/2 binary64)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) w0))
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(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)

soundness1.3s (15.1%)

Memory
42.8MiB live, 1 017.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061294
0104294
1379294
23115278
08301278
057269
093273
1331263
22790243
08403242
09146645
035306427
06024226
023424090
09566616
035356393
070312
0115312
1408308
23087296
09050294
01754
02654
18554
257554
0821452
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 440 to 1 336 computations (45.2% saved)

preprocess347.0ms (3.9%)

Memory
2.6MiB live, 234.8MiB allocated
Remove

(negabs w0)

(abs d)

Compiler

Compiled 4 962 to 2 204 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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