Henrywood and Agarwal, Equation (9a)

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze569.0ms (7.6%)

Memory
44.5MiB live, 952.5MiB allocated; 199ms collecting garbage
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)

sample3.0s (39.7%)

Memory
-63.0MiB live, 3 298.3MiB allocated; 1.7s collecting garbage
Samples
1.1s8 256×0valid
514.0ms2 860×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 426.0ms (41.6% of total)
ival-div: 252.0ms (24.6% of total)
ival-pow2: 126.0ms (12.3% of total)
ival-sqrt: 104.0ms (10.2% of total)
ival-sub: 89.0ms (8.7% of total)
exact: 12.0ms (1.2% of total)
ival-true: 8.0ms (0.8% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain226.0ms (3%)

Memory
-49.0MiB live, 316.2MiB allocated; 70ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-0-(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
250-0-(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
210-0-(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))))
150-0-(*.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-rescue210
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow62
(-.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)))overflow64
(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))))overflow43
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow35
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))overflow64
(/.f64 h l)overflow25
*.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*o150
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))n*o70
/.f64(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))o/n70
(*.f64 M D)overflow23
*.f64(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))o*u30
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))overflow62
(*.f64 M D)overflow23
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))overflow35
(/.f64 h l)underflow29
Confusion
Predicted +Predicted -
+3910
-11196
Precision
0.78
Recall
0.7959183673469388
Confusion?
Predicted +Predicted MaybePredicted -
+39010
-110196
Precision?
0.78
Recall?
0.7959183673469388
Freqs
test
numberfreq
0206
147
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 212 to 55 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 16.0ms (44.3% of total)
ival-div: 8.0ms (22.1% of total)
ival-pow2: 5.0ms (13.8% of total)
ival-sqrt: 3.0ms (8.3% of total)
ival-sub: 2.0ms (5.5% of total)
exact: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess146.0ms (1.9%)

Memory
42.0MiB live, 228.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167501
1461492
21474492
34405492
01718
02618
14718
212218
387318
4542818
0841118
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 6 computations (-∞% saved)

prune6.0ms (0.1%)

Memory
-51.9MiB live, 2.0MiB allocated; 16ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.4%
(*.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)

series91.0ms (1.2%)

Memory
12.7MiB live, 200.4MiB allocated; 12ms collecting garbage
Counts
17 → 98
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)))))
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 #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 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* D M)
M
(* (/ (* 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 (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)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) 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 (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))))))))
(+ 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) (+ (* -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
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
(/ h l)
h
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -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 (* 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)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
l
(+ 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 (+ (* -1/8 (/ (* (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 (/ (+ (* 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 (* -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)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 2 d)
d
Calls

18 calls:

TimeVariablePointExpression
7.0ms
d
@inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms
D
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms
M
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms
h
@-inf
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)
6.0ms
D
@0
((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 d (/ h l) h l)

simplify159.0ms (2.1%)

Memory
18.0MiB live, 202.5MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06294417
124144361
084544215
Stop Event
iter limit
node limit
Counts
98 → 92
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(* D M)
M
(* (/ (* 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 (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)))))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) 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 (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))))))))
(+ 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) (+ (* -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
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
(/ h l)
h
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* -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 (* 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)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
l
(+ 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 (+ (* -1/8 (/ (* (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 (/ (+ (* 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 (* -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)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(* 2 d)
d
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 h l) (/.f64 h l))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 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 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (*.f64 l l)) (/.f64 h (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))
(* D M)
(*.f64 D M)
M
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (*.f64 (/.f64 w0 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d D) #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 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* M (+ (* 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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(* 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) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (fma.f64 (*.f64 (/.f64 d (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 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 (/.f64 d (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
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D
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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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(/ (+ (* (/ (* 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) 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)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.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)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64))))) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)
l
(+ 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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))) w0))
(+ 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 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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))))) (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) w0))
(+ 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))))))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 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)))
(-.f64 w0 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 d)) (*.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 h h) w0) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) 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)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) w0) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) w0) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l))
(+ 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)) (*.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) d) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) h) h) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)))) (neg.f64 l))) l))
(/ (+ (* 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M)) D (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h)))) 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 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 (/.f64 (*.f64 (*.f64 d w0) 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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 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 d d) (*.f64 D M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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 (/.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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
d

rewrite57.0ms (0.8%)

Memory
27.3MiB live, 72.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01795
02695
17595
047095
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
17 → 116
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)))))
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 #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 1 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
#s(literal 2 binary64)
d
(/.f64 h l)
h
l
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))))
w0
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (/.f64 h l))
(*.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 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (/.f64 h l)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) l)
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 D d)))
(*.f64 (*.f64 M M) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 (fabs.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (fabs.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) d)
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D (/.f64 M #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 d (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 D M)) (*.f64 d (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) d) d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 (neg.f64 M) D)) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 D M)) (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (*.f64 d #s(literal 2 binary64)) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (neg.f64 M) D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 D (/.f64 M (*.f64 d #s(literal 2 binary64))))
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d)
(/.f64 (neg.f64 (*.f64 D (/.f64 M #s(literal 2 binary64)))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d)
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) (*.f64 d #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) #s(literal 1 binary64)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 d #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) d)
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(fma.f64 d #s(literal 1 binary64) (*.f64 d #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) d (*.f64 #s(literal 1 binary64) d))
(+.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d))
(+.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))
(+.f64 d d)
#s(literal 2 binary64)
d
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(neg.f64 (/.f64 (neg.f64 h) l))
(neg.f64 (/.f64 h (neg.f64 l)))
h
l

eval36.0ms (0.5%)

Memory
-26.8MiB live, 64.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 8 652 to 1 352 computations (84.4% saved)

prune10.0ms (0.1%)

Memory
28.9MiB live, 29.0MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New19612208
Fresh000
Picked101
Done000
Total19712209
Accuracy
88.9%
Counts
209 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
80.1%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
67.4%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
83.9%
(*.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))))))
78.8%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) (/.f64 h l)))))
64.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
65.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
62.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
16.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
53.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
63.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
52.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 706 to 548 computations (22.4% saved)

series95.0ms (1.3%)

Memory
-20.7MiB live, 173.8MiB allocated; 13ms collecting garbage
Counts
47 → 132
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
#s(literal 1 binary64)
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
h
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d d))
(*.f64 d d)
(/.f64 (*.f64 M M) l)
(*.f64 M M)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))
(*.f64 #s(literal 1/4 binary64) (*.f64 D D))
#s(literal 1/4 binary64)
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d))
(/.f64 h d)
(/.f64 (*.f64 M M) d)
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
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1
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(* 1/2 (/ (* D M) d))
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) l)
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l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(/ (* (pow M 2) h) (pow d 2))
(/ (pow M 2) d)
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(* 1/2 D)
D
(* -1/8 (pow D 2))
(pow D 2)
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h
(/ h (pow d 2))
(/ h d)
(* 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))))))
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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 (/ (+ (* 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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (+ (* 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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(pow d 2)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
11.0ms
M
@0
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* h (pow (* (/ D 2) (/ M d)) 2)) h (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* D D) -1/8 (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* d d) (/ (* M M) l) (* M M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* -1/4 (* D D)) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) l) (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d))) (* 1/4 (* D D)) 1/4 (* (/ h d) (/ (* M M) d)) (/ h d) (/ (* M M) d))
6.0ms
M
@-inf
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* h (pow (* (/ D 2) (/ M d)) 2)) h (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* D D) -1/8 (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* d d) (/ (* M M) l) (* M M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* -1/4 (* D D)) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) l) (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d))) (* 1/4 (* D D)) 1/4 (* (/ h d) (/ (* M M) d)) (/ h d) (/ (* M M) d))
6.0ms
h
@inf
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* h (pow (* (/ D 2) (/ M d)) 2)) h (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* D D) -1/8 (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* d d) (/ (* M M) l) (* M M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* -1/4 (* D D)) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) l) (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d))) (* 1/4 (* D D)) 1/4 (* (/ h d) (/ (* M M) d)) (/ h d) (/ (* M M) d))
6.0ms
d
@inf
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* h (pow (* (/ D 2) (/ M d)) 2)) h (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* D D) -1/8 (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* d d) (/ (* M M) l) (* M M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* -1/4 (* D D)) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) l) (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d))) (* 1/4 (* D D)) 1/4 (* (/ h d) (/ (* M M) d)) (/ h d) (/ (* M M) d))
5.0ms
d
@0
((* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l))) (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)) 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l) (* h (pow (* (/ D 2) (/ M d)) 2)) h (pow (* (/ D 2) (/ M d)) 2) (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (* (* D D) -1/8) (* D D) -1/8 (* (/ h (* d d)) (/ (* M M) l)) (/ h (* d d)) (* d d) (/ (* M M) l) (* M M) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* -1/4 (* D D)) (* (/ h (* d d)) (/ (* M M) l))) (* -1/4 (* D D)) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) l) (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d))) (* 1/4 (* D D)) 1/4 (* (/ h d) (/ (* M M) d)) (/ h d) (/ (* M M) d))

simplify151.0ms (2%)

Memory
18.1MiB live, 208.7MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06924940
125724854
082274691
Stop Event
iter limit
node limit
Counts
132 → 126
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(* 1/2 (/ (* D M) d))
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) l)
(pow M 2)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(/ (* (pow M 2) h) (pow d 2))
(/ (pow M 2) d)
(* (/ (* 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 (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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2)))))
(* -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 (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))))))))
(+ 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) (+ (* -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)))))))))
(* 1/2 D)
D
(* -1/8 (pow D 2))
(pow D 2)
(* -1/4 (pow D 2))
(* 1/4 (pow D 2))
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2)))))
(* -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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
h
(/ h (pow d 2))
(/ h d)
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
(* -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 (* 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 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 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))))))
(+ 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 (+ (* -1/8 (/ (* (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)))))))
(* l (+ 1 (* -1/4 (/ (* (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 (* -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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (+ (* 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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(pow d 2)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 h w0) d) (/.f64 (*.f64 D D) d)))) (*.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 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) d) (/.f64 (*.f64 (*.f64 M M) h) d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 M M) d)) #s(literal 1/4 binary64))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ M d)
(/.f64 M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (pow M 2) l)
(/.f64 (*.f64 M M) l)
(pow M 2)
(*.f64 M M)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64) l)
(/ (* (pow M 2) h) (pow d 2))
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d))
(/ (pow M 2) d)
(/.f64 (*.f64 M M) d)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.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))))))
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(* 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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(* 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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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
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(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2)))))
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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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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
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(* -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 (* 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))))))))
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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)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (*.f64 D D)) (pow.f64 d #s(literal 6 binary64))))) (*.f64 D D) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) (*.f64 D D) w0)
(+ 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 D D)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) (*.f64 D D) #s(literal 1 binary64))
(+ 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)))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 D D)) (pow.f64 d #s(literal 6 binary64))))) (*.f64 D D) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))) (*.f64 D D) #s(literal 1 binary64))
(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
D
(* -1/8 (pow D 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(pow D 2)
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(* -1/4 (pow D 2))
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(* 1/4 (pow D 2))
(*.f64 (*.f64 D D) #s(literal 1/4 binary64))
(* 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))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #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 #s(literal 1/2 binary64) (*.f64 d w0)) (*.f64 (*.f64 (*.f64 D D) M) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d) (sqrt.f64 (/.f64 h l))))) D)
(* 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 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 D D))) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d) (sqrt.f64 (/.f64 h l)))) D)
(* 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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(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(pow d 2)
(*.f64 d d)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
(/.f64 (fma.f64 (*.f64 d d) l (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h))) (*.f64 d d))

rewrite75.0ms (1%)

Memory
-9.6MiB live, 90.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055576
088576
1281576
01707571
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
47 → 447
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))
#s(literal 1 binary64)
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l)
(*.f64 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64)))
h
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/.f64 h (*.f64 d d))
(*.f64 d d)
(/.f64 (*.f64 M M) l)
(*.f64 M M)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))
(*.f64 #s(literal -1/4 binary64) (*.f64 D D))
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l)
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))
(*.f64 #s(literal 1/4 binary64) (*.f64 D D))
#s(literal 1/4 binary64)
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d))
(/.f64 h d)
(/.f64 (*.f64 M M) d)
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))))
w0
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 h) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 #s(literal 1 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l) h)
(*.f64 (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 h l)))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 1 binary64))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l))) (neg.f64 (neg.f64 l)))
(/.f64 (-.f64 (*.f64 l l) (*.f64 (*.f64 l (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M))) (*.f64 l l))
(/.f64 (-.f64 (*.f64 l l) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) l))
(/.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) (*.f64 l l)) l))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l)) (neg.f64 l))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l) l)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l)) l))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l) (neg.f64 l)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 D (/.f64 h (*.f64 d d)))) (/.f64 (*.f64 M M) l)))
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) #s(literal 3 binary64))) (fma.f64 l l (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 2 binary64)) (*.f64 l (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 l l) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l)))
(/.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) (*.f64 l l))))
(/.f64 (-.f64 (*.f64 l l) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l))
(/.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) (*.f64 l l)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l)
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l)
(fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) l)
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) l)
(-.f64 (/.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l)))
(-.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) (*.f64 l l))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) l) (*.f64 l l))))
(-.f64 l (*.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M)))
(-.f64 l (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))) l)
(+.f64 l (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d)))) (*.f64 (/.f64 M d) M)))
(+.f64 l (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M)) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))))
(+.f64 l (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 D D))))
(+.f64 l (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal -1/4 binary64) (*.f64 D D))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) #s(literal 1/4 binary64)) (*.f64 D D))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 D D)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D)))
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))
(*.f64 (/.f64 h d) (*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M) (*.f64 D D)))
(*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M)))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) (*.f64 (neg.f64 M) M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) (*.f64 M M)) d)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 (/.f64 M d) M) h)) d)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))
(*.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 D)) (neg.f64 D))
(*.f64 (*.f64 #s(literal 1/4 binary64) (fabs.f64 D)) (fabs.f64 D))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) D)
(*.f64 (neg.f64 D) (*.f64 (neg.f64 D) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 D) (*.f64 (fabs.f64 D) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 D D))
(*.f64 (*.f64 D D) #s(literal 1/4 binary64))
(*.f64 D (*.f64 #s(literal 1/4 binary64) D))
#s(literal 1/4 binary64)
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) (neg.f64 M)) (neg.f64 M))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) (fabs.f64 M)) (fabs.f64 M))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) M)
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d))
(*.f64 (/.f64 h (neg.f64 d)) (/.f64 (*.f64 M M) (neg.f64 d)))
(*.f64 (/.f64 h (fabs.f64 d)) (/.f64 (*.f64 M M) (fabs.f64 d)))
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))
(*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))
(*.f64 (/.f64 h (*.f64 d d)) (*.f64 M M))
(*.f64 M (*.f64 (/.f64 M d) (/.f64 h d)))
(*.f64 h (/.f64 (*.f64 (/.f64 M d) M) d))
(*.f64 h (/.f64 (*.f64 M M) (*.f64 d d)))
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d)) (neg.f64 d))
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (fabs.f64 d))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 M d) M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d)) (neg.f64 d))
(/.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h)) (*.f64 d d))
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) h) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 h (*.f64 (neg.f64 M) M)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) d)
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d))
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 h) (neg.f64 d))
(/.f64 h d)
(neg.f64 (/.f64 (neg.f64 h) d))
(neg.f64 (/.f64 h (neg.f64 d)))
(*.f64 (neg.f64 M) (/.f64 (neg.f64 M) d))
(*.f64 (fabs.f64 M) (/.f64 (fabs.f64 M) d))
(*.f64 (/.f64 M d) M)
(*.f64 M (/.f64 M d))
(/.f64 (*.f64 (neg.f64 M) M) (neg.f64 d))
(/.f64 (*.f64 M M) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 M M) d)
(neg.f64 (/.f64 (*.f64 (neg.f64 M) M) d))
(neg.f64 (/.f64 (*.f64 M M) (neg.f64 d)))

eval93.0ms (1.2%)

Memory
-12.4MiB live, 173.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 29 459 to 3 997 computations (86.4% saved)

prune38.0ms (0.5%)

Memory
22.3MiB live, 69.5MiB allocated; 2ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New71520735
Fresh437
Picked325
Done000
Total72225747
Accuracy
89.6%
Counts
747 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.6%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h)) l))))
86.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
83.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64))))) l))))
70.7%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
83.9%
(*.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))))))
64.3%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
63.4%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
65.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
68.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l))))
75.5%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))) l))))
75.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
18.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
20.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
16.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
16.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
56.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
70.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
62.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
53.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
61.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
15.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
63.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
60.7%
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
52.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 1 734 to 1 274 computations (26.5% saved)

series150.0ms (2%)

Memory
-34.2MiB live, 263.9MiB allocated; 44ms collecting garbage
Counts
57 → 139
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))
#s(literal 1 binary64)
(/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l)
(*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64)))
h
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D))
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
#s(literal 4 binary64)
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))
(*.f64 M M)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M)
(*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D)))
(/.f64 h (*.f64 d d))
(*.f64 #s(literal -1/8 binary64) (*.f64 D D))
(/.f64 M l)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l)
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M)
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d)))
(*.f64 #s(literal 1/4 binary64) D)
#s(literal 1/4 binary64)
(*.f64 D (/.f64 h d))
(/.f64 h d)
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
(/ (* D M) d)
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) (* (pow d 2) l))
(pow M 2)
(* -1/8 (/ (* (pow D 2) (* M h)) (pow d 2)))
(/ M l)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* M h) (pow d 2))
l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(* 1/4 (/ (* (pow D 2) (* M h)) d))
(* (/ (* 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 (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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2)))))
(* -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 (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))))))))
(+ 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) (+ (* -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
(* -1/8 (pow D 2))
(pow D 2)
(* -1/8 (/ (* (pow D 2) h) (pow d 2)))
(* -1/4 D)
(* 1/4 (/ (* (pow D 2) h) d))
(* 1/4 D)
(/ (* D h) d)
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2)))))
(* -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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
h
(/ h (pow d 2))
(/ h d)
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
(* -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 (* 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 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (pow d 2) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 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))))))
(+ 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 (+ (* -1/8 (/ (* (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)))))))
(* l (+ 1 (* -1/4 (/ (* (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 (* -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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (+ (* 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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(pow d 2)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
Calls

18 calls:

TimeVariablePointExpression
23.0ms
d
@0
((* w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)))) w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l))) (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)) 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l) (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) h (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) (* (/ M d) D) (/ M d) M d D 4 l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* d d) l))) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (/ M l)) 1) (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (* (/ h (* d d)) (* -1/8 (* D D))) (/ h (* d d)) (* -1/8 (* D D)) (/ M l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* -1/4 D) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) l) (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d)) (* (* (* 1/4 D) (* D (/ h d))) M) (* (* 1/4 D) (* D (/ h d))) (* 1/4 D) 1/4 (* D (/ h d)) (/ h d))
22.0ms
d
@-inf
((* w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)))) w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l))) (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)) 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l) (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) h (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) (* (/ M d) D) (/ M d) M d D 4 l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* d d) l))) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (/ M l)) 1) (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (* (/ h (* d d)) (* -1/8 (* D D))) (/ h (* d d)) (* -1/8 (* D D)) (/ M l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* -1/4 D) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) l) (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d)) (* (* (* 1/4 D) (* D (/ h d))) M) (* (* 1/4 D) (* D (/ h d))) (* 1/4 D) 1/4 (* D (/ h d)) (/ h d))
10.0ms
D
@-inf
((* w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)))) w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l))) (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)) 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l) (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) h (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) (* (/ M d) D) (/ M d) M d D 4 l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* d d) l))) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (/ M l)) 1) (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (* (/ h (* d d)) (* -1/8 (* D D))) (/ h (* d d)) (* -1/8 (* D D)) (/ M l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* -1/4 D) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) l) (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d)) (* (* (* 1/4 D) (* D (/ h d))) M) (* (* 1/4 D) (* D (/ h d))) (* 1/4 D) 1/4 (* D (/ h d)) (/ h d))
9.0ms
M
@-inf
((* w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)))) w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l))) (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)) 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l) (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) h (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) (* (/ M d) D) (/ M d) M d D 4 l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* d d) l))) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (/ M l)) 1) (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (* (/ h (* d d)) (* -1/8 (* D D))) (/ h (* d d)) (* -1/8 (* D D)) (/ M l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* -1/4 D) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) l) (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d)) (* (* (* 1/4 D) (* D (/ h d))) M) (* (* 1/4 D) (* D (/ h d))) (* 1/4 D) 1/4 (* D (/ h d)) (/ h d))
9.0ms
h
@-inf
((* w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)))) w0 (sqrt (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l))) (- 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l)) 1 (/ (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) l) (* h (/ (* (* (/ M d) D) (* (/ M d) D)) 4)) h (/ (* (* (/ M d) D) (* (/ M d) D)) 4) (* (* (/ M d) D) (* (/ M d) D)) (* (/ M d) D) (/ M d) M d D 4 l (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* d d) l)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* d d) l))) (/ (* M M) (* (* d d) l)) (* M M) (* (* d d) l) (* d d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (/ M l)) 1) (* (* (/ h (* d d)) (* -1/8 (* D D))) M) (* (/ h (* d d)) (* -1/8 (* D D))) (/ h (* d d)) (* -1/8 (* D D)) (/ M l) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) D) (* (* (* (/ h (* d d)) M) (/ M l)) (* -1/4 D)) (* (* (/ h (* d d)) M) (/ M l)) (* (/ h (* d d)) M) (* -1/4 D) -1/4 (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/ (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) l) (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d)) (* (* (* 1/4 D) (* D (/ h d))) M) (* (* 1/4 D) (* D (/ h d))) (* 1/4 D) 1/4 (* D (/ h d)) (/ h d))

simplify152.0ms (2%)

Memory
25.0MiB live, 212.2MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07055011
126134925
083194762
Stop Event
iter limit
node limit
Counts
139 → 133
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
(/ (* D M) d)
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) (* (pow d 2) l))
(pow M 2)
(* -1/8 (/ (* (pow D 2) (* M h)) (pow d 2)))
(/ M l)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* M h) (pow d 2))
l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(* 1/4 (/ (* (pow D 2) (* M h)) d))
(* (/ (* 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 (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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2)))))
(* -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 (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))))))))
(+ 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) (+ (* -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
(* -1/8 (pow D 2))
(pow D 2)
(* -1/8 (/ (* (pow D 2) h) (pow d 2)))
(* -1/4 D)
(* 1/4 (/ (* (pow D 2) h) d))
(* 1/4 D)
(/ (* D h) d)
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2)))))
(* -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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
h
(/ h (pow d 2))
(/ h d)
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
(* -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 (* 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 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (pow d 2) l)
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 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))))))
(+ 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 (+ (* -1/8 (/ (* (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)))))))
(* l (+ 1 (* -1/4 (/ (* (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 (* -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 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(/ (+ (* 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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(pow d 2)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 h w0) d)))) (*.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 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 M h)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) 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 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 M M) h) d))
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 M M) d)) #s(literal 1/4 binary64))
(/ (* (pow D 2) (pow M 2)) (pow d 2))
(*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 M M) d))
(/ (* D M) d)
(/.f64 (*.f64 D M) d)
(/ M d)
(/.f64 M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 h (*.f64 d d)))
(/ (pow M 2) (* (pow d 2) l))
(*.f64 (/.f64 M (*.f64 d d)) (/.f64 M l))
(pow M 2)
(*.f64 M M)
(* -1/8 (/ (* (pow D 2) (* M h)) (pow d 2)))
(*.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) d)))
(/ M l)
(/.f64 M l)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l))
(/ (* M h) (pow d 2))
(*.f64 (/.f64 h d) (/.f64 M d))
l
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))
(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64) l)
(* 1/4 (/ (* (pow D 2) (* M h)) d))
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) d)) #s(literal 1/4 binary64))
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.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 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.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 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* 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 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.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 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.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 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (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 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l)) (*.f64 M M) #s(literal 1 binary64))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l)) (*.f64 M M) #s(literal 1 binary64))
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l)) (*.f64 M M) #s(literal 1 binary64))
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2)))))
(*.f64 (-.f64 (/.f64 l (*.f64 M M)) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) h) d))) (*.f64 M M))
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))))
(*.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) d)) (sqrt.f64 (/.f64 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))))))
(*.f64 (neg.f64 M) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 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)))))))
(*.f64 (neg.f64 M) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 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))))))))
(*.f64 (neg.f64 M) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))))
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))))
(*.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) d)) (sqrt.f64 (/.f64 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))))))
(*.f64 (neg.f64 M) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 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)))))))
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(* -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))))))))
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D
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(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
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(* (pow d 2) l)
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(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
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(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64) l)
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(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) 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)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.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))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.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))) (pow.f64 d #s(literal 6 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))) (neg.f64 l))) l))
(+ 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.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))) (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 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))) (neg.f64 l))) l))
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1)))
(*.f64 (neg.f64 l) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))
(/ (+ (* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d d) w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 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 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.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 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(pow d 2)
(*.f64 d d)
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 #s(literal -1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) #s(literal 1 binary64))
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2))
(/.f64 (fma.f64 (*.f64 d d) l (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)))) (*.f64 d d))

rewrite91.0ms (1.2%)

Memory
7.8MiB live, 134.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066739
0110711
1338683
02240683
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
57 → 584
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
w0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))
#s(literal 1 binary64)
(/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l)
(*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64)))
h
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D))
(*.f64 (/.f64 M d) D)
(/.f64 M d)
M
d
D
#s(literal 4 binary64)
l
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l)))
(/.f64 (*.f64 M M) (*.f64 (*.f64 d d) l))
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(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M)
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(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l))
(*.f64 (/.f64 h (*.f64 d d)) M)
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l)
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M)
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d)))
(*.f64 #s(literal 1/4 binary64) D)
#s(literal 1/4 binary64)
(*.f64 D (/.f64 h d))
(/.f64 h d)
Outputs
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l))) w0)
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l))))
w0
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 h) (/.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) l))) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) (fma.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 h) (/.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) l)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) h) (/.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) l))
(*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) l) h)
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 h l))
(*.f64 h (/.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) l))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h)) l)
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 l)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h)) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) (*.f64 #s(literal 4 binary64) l))
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64)) (neg.f64 l))
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) l)
(neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal -4 binary64)) l))
(neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h) (neg.f64 l)))
(*.f64 (*.f64 h (*.f64 D (/.f64 M d))) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)) h)
(*.f64 (*.f64 D (/.f64 M d)) (*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64)) h))
(*.f64 h (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) h) #s(literal -4 binary64))
(/.f64 (*.f64 h (neg.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h)) #s(literal -4 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) h) #s(literal 4 binary64))
h
(*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 (*.f64 D D) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64)) (*.f64 D (/.f64 M d)))
(*.f64 (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))) (/.f64 D #s(literal 4 binary64)))
(*.f64 (*.f64 (neg.f64 D) (/.f64 M d)) (/.f64 (*.f64 (neg.f64 D) (/.f64 M d)) #s(literal 4 binary64)))
(*.f64 (fabs.f64 (*.f64 D (/.f64 M d))) (/.f64 (fabs.f64 (*.f64 D (/.f64 M d))) #s(literal 4 binary64)))
(*.f64 (*.f64 D (/.f64 M d)) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64)))
(*.f64 D (*.f64 (/.f64 M d) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64))))
(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 D (/.f64 M d)) D) #s(literal 4 binary64)))
(*.f64 (/.f64 M d) (*.f64 D (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D (/.f64 M d)) #s(literal 4 binary64))) d)
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 4 binary64))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) #s(literal 4 binary64)))
(neg.f64 (/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal -4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (neg.f64 D)) (neg.f64 D))
(*.f64 (*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (fabs.f64 D)) (fabs.f64 D))
(*.f64 (*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) D) D)
(*.f64 (*.f64 (/.f64 M d) (fabs.f64 D)) (*.f64 (/.f64 M d) (fabs.f64 D)))
(*.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 M d))) (neg.f64 (*.f64 (neg.f64 D) (/.f64 M d))))
(*.f64 (neg.f64 (fabs.f64 (*.f64 D (/.f64 M d)))) (neg.f64 (fabs.f64 (*.f64 D (/.f64 M d)))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 D (/.f64 M d)))) (fabs.f64 (fabs.f64 (*.f64 D (/.f64 M d)))))
(*.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) (*.f64 D D))
(*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 1 binary64)) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 1 binary64)) (*.f64 D (/.f64 M d)))
(*.f64 (*.f64 (*.f64 D (/.f64 M d)) D) (/.f64 M d))
(*.f64 (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))) D)
(*.f64 (*.f64 (neg.f64 D) (/.f64 M d)) (*.f64 (neg.f64 D) (/.f64 M d)))
(*.f64 (fabs.f64 (*.f64 D (/.f64 M d))) (fabs.f64 (*.f64 D (/.f64 M d))))
(*.f64 (*.f64 D D) (pow.f64 (/.f64 M d) #s(literal 2 binary64)))
(*.f64 (*.f64 D (/.f64 M d)) (*.f64 D (/.f64 M d)))
(*.f64 D (*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))))
(*.f64 (/.f64 M d) (*.f64 (/.f64 M d) (*.f64 D D)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 D (/.f64 M d)) D))
(pow.f64 (*.f64 (neg.f64 D) (/.f64 M d)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (*.f64 D (/.f64 M d))) #s(literal 2 binary64))
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 D (/.f64 M d)) D)) (neg.f64 d))
(/.f64 (*.f64 M (*.f64 (*.f64 D (/.f64 M d)) D)) d)
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 D M)) d)
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) d)
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 d d))
(neg.f64 (neg.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 D (/.f64 M d))) #s(literal 2 binary64)))
(*.f64 D (/.f64 M d))
(*.f64 (/.f64 M d) D)
(*.f64 M (/.f64 D d))
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d))
(/.f64 (*.f64 D M) d)
(/.f64 (neg.f64 (neg.f64 M)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 M) (neg.f64 d))
(/.f64 M d)
(neg.f64 (/.f64 M (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 M) d))
M
d
D
#s(literal 4 binary64)
l
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l) #s(literal 1 binary64))) w0)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) D) D) (*.f64 M M)) #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 l #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) l (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) #s(literal -1/8 binary64)) D) D) (*.f64 M M)))) (*.f64 #s(literal 2 binary64) l))
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(+.f64 l (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d))))
(+.f64 l (*.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D)) (/.f64 M d)))
(*.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D)) M)
(*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (*.f64 (/.f64 h d) D) M))
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) D) (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d)) (/.f64 M d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D) (*.f64 (/.f64 M d) M))
(*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) M) (/.f64 M d)))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (/.f64 M d) M)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) D) (*.f64 (/.f64 M d) M)))
(*.f64 (/.f64 M d) (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d)))
(*.f64 M (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D) (/.f64 M d)))
(/.f64 (*.f64 (neg.f64 M) (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d)) (neg.f64 M)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D) (*.f64 M M))) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D) (*.f64 M M)) d)
(*.f64 (*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) D) D)) (/.f64 h d))
(*.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 h d) D))
(*.f64 (*.f64 M #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) D) D))
(*.f64 (*.f64 (*.f64 (/.f64 h d) D) M) (*.f64 #s(literal 1/4 binary64) D))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) D) (*.f64 (/.f64 h d) M))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D) M)
(*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (*.f64 (/.f64 h d) D) M))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h d) D) D) M))
(*.f64 #s(literal 1/4 binary64) (*.f64 D (*.f64 (*.f64 (/.f64 h d) D) M)))
(*.f64 D (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 h d) D) M)))
(*.f64 M (*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D))
(*.f64 (*.f64 (*.f64 (/.f64 h d) D) #s(literal 1/4 binary64)) D)
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 h d)) D)
(*.f64 (*.f64 (*.f64 (/.f64 h d) D) D) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) D) (/.f64 h d))
(*.f64 (*.f64 (/.f64 h d) D) (*.f64 #s(literal 1/4 binary64) D))
(*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) D))
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 h d) D))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 h d) D) D))
(*.f64 D (*.f64 (/.f64 h d) (*.f64 #s(literal 1/4 binary64) D)))
(*.f64 D (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 h d) D)))
(/.f64 (*.f64 (*.f64 D h) (*.f64 #s(literal 1/4 binary64) D)) d)
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) D) (neg.f64 h)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) D) h) d)
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D h)) d)
(*.f64 #s(literal 1/4 binary64) D)
(*.f64 D #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (/.f64 h d) D)
(*.f64 D (/.f64 h d))
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 d))
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 D h)) (neg.f64 d))
(/.f64 (*.f64 D h) d)
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 h) (neg.f64 d))
(/.f64 h d)
(neg.f64 (/.f64 (neg.f64 h) d))
(neg.f64 (/.f64 h (neg.f64 d)))

eval144.0ms (1.9%)

Memory
24.1MiB live, 300.7MiB allocated; 79ms collecting garbage
Compiler

Compiled 30 283 to 4 069 computations (86.6% saved)

prune91.0ms (1.2%)

Memory
-11.4MiB live, 139.9MiB allocated; 55ms collecting garbage
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New72214736
Fresh9918
Picked325
Done022
Total73427761
Accuracy
89.6%
Counts
761 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l))))
83.9%
(*.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))))))
82.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
78.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
18.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
20.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
22.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
20.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.8%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
21.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
16.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
16.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
61.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
56.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
70.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
59.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
62.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
53.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))
57.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
62.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
55.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
78.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l))) #s(literal 1 binary64))))
61.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
15.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
63.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
60.7%
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
52.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 1 889 to 1 401 computations (25.8% saved)

series124.0ms (1.7%)

Memory
-3.7MiB live, 280.9MiB allocated; 25ms collecting garbage
Counts
54 → 123
Calls
Call 1
Inputs
(*.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))))))
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 #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))))
#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 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(/.f64 h l)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d)))
(/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))
(*.f64 M M)
(*.f64 (*.f64 l d) d)
(*.f64 l d)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))
(*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d))))
(*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))
(/.f64 M (*.f64 l d))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d)
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(/.f64 #s(literal -1/8 binary64) d)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l))
(*.f64 h (/.f64 (/.f64 M d) d))
(/.f64 (/.f64 M d) d)
(/.f64 M l)
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) (* (pow d 2) l))
(pow M 2)
(/ M (* d l))
(/ (* (pow D 2) (* (pow M 2) h)) (* d l))
(/ (* (pow D 2) (* (pow M 2) h)) l)
(/ (* (pow M 2) h) l)
(* (pow M 2) h)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* M h) (pow d 2))
(/ M (pow d 2))
(/ M 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 (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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (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))))))))
(+ 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) (+ (* -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)))))))))
(* 1/2 D)
D
(* -1/8 (pow D 2))
(pow D 2)
(* -1/4 D)
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
(/ h l)
h
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -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 (* 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)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
l
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (pow d 2) l)
(* d l)
(+ 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 (+ (* -1/8 (/ (* (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 (/ (+ (* 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 (* -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)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ -1/8 d)
Calls

18 calls:

TimeVariablePointExpression
12.0ms
M
@0
((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* (/ h l) (* (/ D 2) (/ M d))) (/ h l) h l (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* l d) d))) (/ (* M M) (* (* l d) d)) (* M M) (* (* l d) d) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* h (* (/ M d) (/ M (* l d)))) (* (/ M d) (/ M (* l d))) (/ M (* l d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (/ (* (* D D) (/ (* (* M M) h) l)) d) (/ -1/8 d)) 1) (/ (* (* D D) (/ (* (* M M) h) l)) d) (* (* D D) (/ (* (* M M) h) l)) (/ (* (* M M) h) l) (* (* M M) h) (/ -1/8 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) D) (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) (* (* h (/ (/ M d) d)) (/ M l)) (* h (/ (/ M d) d)) (/ (/ M d) d) (/ M l) (* -1/4 D) -1/4)
10.0ms
h
@-inf
((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* (/ h l) (* (/ D 2) (/ M d))) (/ h l) h l (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* l d) d))) (/ (* M M) (* (* l d) d)) (* M M) (* (* l d) d) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* h (* (/ M d) (/ M (* l d)))) (* (/ M d) (/ M (* l d))) (/ M (* l d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (/ (* (* D D) (/ (* (* M M) h) l)) d) (/ -1/8 d)) 1) (/ (* (* D D) (/ (* (* M M) h) l)) d) (* (* D D) (/ (* (* M M) h) l)) (/ (* (* M M) h) l) (* (* M M) h) (/ -1/8 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) D) (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) (* (* h (/ (/ M d) d)) (/ M l)) (* h (/ (/ M d) d)) (/ (/ M d) d) (/ M l) (* -1/4 D) -1/4)
10.0ms
l
@-inf
((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* (/ h l) (* (/ D 2) (/ M d))) (/ h l) h l (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* l d) d))) (/ (* M M) (* (* l d) d)) (* M M) (* (* l d) d) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* h (* (/ M d) (/ M (* l d)))) (* (/ M d) (/ M (* l d))) (/ M (* l d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (/ (* (* D D) (/ (* (* M M) h) l)) d) (/ -1/8 d)) 1) (/ (* (* D D) (/ (* (* M M) h) l)) d) (* (* D D) (/ (* (* M M) h) l)) (/ (* (* M M) h) l) (* (* M M) h) (/ -1/8 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) D) (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) (* (* h (/ (/ M d) d)) (/ M l)) (* h (/ (/ M d) d)) (/ (/ M d) d) (/ M l) (* -1/4 D) -1/4)
9.0ms
M
@-inf
((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* (/ h l) (* (/ D 2) (/ M d))) (/ h l) h l (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* l d) d))) (/ (* M M) (* (* l d) d)) (* M M) (* (* l d) d) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* h (* (/ M d) (/ M (* l d)))) (* (/ M d) (/ M (* l d))) (/ M (* l d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (/ (* (* D D) (/ (* (* M M) h) l)) d) (/ -1/8 d)) 1) (/ (* (* D D) (/ (* (* M M) h) l)) d) (* (* D D) (/ (* (* M M) h) l)) (/ (* (* M M) h) l) (* (* M M) h) (/ -1/8 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) D) (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) (* (* h (/ (/ M d) d)) (/ M l)) (* h (/ (/ M d) d)) (/ (/ M d) d) (/ M l) (* -1/4 D) -1/4)
8.0ms
d
@-inf
((* w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))))) w0 (sqrt (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))))) (- 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d)))) 1 (* (* (/ h l) (* (/ D 2) (/ M d))) (* (/ D 2) (/ M d))) (* (/ h l) (* (/ D 2) (/ M d))) (/ h l) h l (* (/ D 2) (/ M d)) (/ D 2) D 2 (/ M d) M d (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (/ (* M M) (* (* l d) d)))) 1) (* (* D D) -1/8) (* D D) -1/8 (* h (/ (* M M) (* (* l d) d))) (/ (* M M) (* (* l d) d)) (* M M) (* (* l d) d) (* l d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* h (* (/ M d) (/ M (* l d))))) 1) (* h (* (/ M d) (/ M (* l d)))) (* (/ M d) (/ M (* l d))) (/ M (* l d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (+ (* (/ (* (* D D) (/ (* (* M M) h) l)) d) (/ -1/8 d)) 1) (/ (* (* D D) (/ (* (* M M) h) l)) d) (* (* D D) (/ (* (* M M) h) l)) (/ (* (* M M) h) l) (* (* M M) h) (/ -1/8 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) D) (* (* (* h (/ (/ M d) d)) (/ M l)) (* -1/4 D)) (* (* h (/ (/ M d) d)) (/ M l)) (* h (/ (/ M d) d)) (/ (/ M d) d) (/ M l) (* -1/4 D) -1/4)

simplify171.0ms (2.3%)

Memory
15.4MiB live, 298.9MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06624673
125114601
087364450
Stop Event
iter limit
node limit
Counts
123 → 117
Calls
Call 1
Inputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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)))))))))
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 (* -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)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(* 1/2 (/ (* D M) d))
(/ M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(/ (pow M 2) (* (pow d 2) l))
(pow M 2)
(/ M (* d l))
(/ (* (pow D 2) (* (pow M 2) h)) (* d l))
(/ (* (pow D 2) (* (pow M 2) h)) l)
(/ (* (pow M 2) h) l)
(* (pow M 2) h)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(/ (* M h) (pow d 2))
(/ M (pow d 2))
(/ M 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 (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)))))))
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l)))))
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))
(* -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 (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))))))))
(+ 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) (+ (* -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)))))))))
(* 1/2 D)
D
(* -1/8 (pow D 2))
(pow D 2)
(* -1/4 D)
(* 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 (* (/ 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)))))))
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l)))))
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))
(* -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 (* (/ 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))))))))
(+ 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 (+ (* -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)))))))))
(/ h l)
h
(* 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 (* (/ 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 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -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 (* 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)))))))))
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))
(/ (+ (* 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 (* (/ 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)
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
l
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)
(* (pow d 2) l)
(* d l)
(+ 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 (+ (* -1/8 (/ (* (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 (/ (+ (* 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 (* -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)))
(/ (+ (* 1/2 (* (/ (* (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)
(/ (+ (* 1/2 (* (/ (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)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(/ -1/8 d)
Outputs
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0)
w0
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) h)) (*.f64 w0 (pow.f64 D #s(literal 4 binary64)))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) d) (/.f64 w0 d)))) (*.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 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M))) (*.f64 M M) w0)
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h (*.f64 (*.f64 M M) h)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) 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 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64))
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
(* 1/2 (/ (* D (* M h)) (* d l)))
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 (*.f64 M h) D) l))
(* 1/2 (/ (* D M) d))
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))
(/ M d)
(/.f64 M d)
M
(/ (* (pow M 2) h) (* (pow d 2) l))
(*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))
(/ (pow M 2) (* (pow d 2) l))
(*.f64 (/.f64 M l) (/.f64 M (*.f64 d d)))
(pow M 2)
(*.f64 M M)
(/ M (* d l))
(/.f64 (/.f64 M d) l)
(/ (* (pow D 2) (* (pow M 2) h)) (* d l))
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) l))
(/ (* (pow D 2) (* (pow M 2) h)) l)
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))
(/ (* (pow M 2) h) l)
(/.f64 (*.f64 (*.f64 M M) h) l)
(* (pow M 2) h)
(*.f64 (*.f64 M M) h)
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))
(* -1/4 (/ (* D (* (pow M 2) h)) (* (pow d 2) l)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) l))
(/ (* M h) (pow d 2))
(*.f64 (/.f64 h d) (/.f64 M d))
(/ M (pow d 2))
(/.f64 M (*.f64 d d))
(/ M l)
(/.f64 M l)
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))
(* 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 d w0) (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #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)))))))
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l)))
(* 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 (/.f64 d (*.f64 D (*.f64 M M))) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)
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(* -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))))))))
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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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(+ 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)))))))
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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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(* 1/2 D)
(*.f64 #s(literal 1/2 binary64) D)
D
(* -1/8 (pow D 2))
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(pow D 2)
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(* -1/4 D)
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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 (* (/ 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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(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) 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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(/ (+ (* 1/2 (* (/ 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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(/ (+ (* (/ (* 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)
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(/ (+ (* (/ (* 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)
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(/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal 1/4 binary64))) l)
l
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(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) l) l)
(* (pow d 2) l)
(*.f64 (*.f64 d d) l)
(* d l)
(*.f64 d l)
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(+ 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)))))))
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(+ 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))))))
(fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 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)))))))
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(+ 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)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.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))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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)))
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 w0 (pow.f64 D #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 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))) (neg.f64 l))) l))
(+ 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.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))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 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))) (neg.f64 l))) l))
(/ (+ (* 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) w0) (*.f64 M D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 d d) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) 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 (/.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))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 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 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d)
(/ (+ (* 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 d d) (*.f64 M D)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 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)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) 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 (/.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))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) #s(literal 1/4 binary64))) (*.f64 d d)))
d
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(/ -1/8 d)
(/.f64 #s(literal -1/8 binary64) d)

rewrite84.0ms (1.1%)

Memory
5.0MiB live, 145.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071738
0113714
1373711
02475711
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
54 → 817
Calls
Call 1
Inputs
(*.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))))))
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 #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))))
#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 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))
(/.f64 h l)
h
l
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(/.f64 D #s(literal 2 binary64))
D
#s(literal 2 binary64)
(/.f64 M d)
M
d
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))
(*.f64 (*.f64 D D) #s(literal -1/8 binary64))
(*.f64 D D)
#s(literal -1/8 binary64)
(*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d)))
(/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))
(*.f64 M M)
(*.f64 (*.f64 l d) d)
(*.f64 l d)
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))
(*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d))))
(*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))
(/.f64 M (*.f64 l d))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))))
#s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d)
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(/.f64 #s(literal -1/8 binary64) d)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)))
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))
(*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D)
(*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D))
(*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l))
(*.f64 h (/.f64 (/.f64 M d) d))
(/.f64 (/.f64 M d) d)
(/.f64 M l)
(*.f64 #s(literal -1/4 binary64) D)
#s(literal -1/4 binary64)
Outputs
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))
w0
(*.f64 (pow.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (/.f64 M #s(literal 2 binary64))) (/.f64 D d) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (/.f64 M d)) (/.f64 D #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (/.f64 D #s(literal 2 binary64))) (/.f64 M d) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) #s(literal 1 binary64))
(fma.f64 (/.f64 h l) (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))) (/.f64 h l)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)))
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)))
(+.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64)))) (/.f64 M d)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64)))) (/.f64 M d))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 M #s(literal 2 binary64))) (/.f64 D d))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 M d)) (/.f64 D #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64))) (/.f64 M d))
(*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l))
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M))
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))))
(*.f64 (/.f64 M d) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64))))
(*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))))
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 h (/.f64 M #s(literal 2 binary64))) (/.f64 D d)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M)) l)
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 M (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) d)
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 M D) (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) h)) l)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64))) (neg.f64 M)) (neg.f64 d))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (/.f64 D #s(literal 2 binary64))) M) d)
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (*.f64 (/.f64 M d) D)) #s(literal 2 binary64))
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(/.f64 (neg.f64 (neg.f64 M)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 M) (neg.f64 l))
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(neg.f64 (/.f64 M (neg.f64 l)))
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(*.f64 #s(literal -1/4 binary64) D)
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#s(literal -1/4 binary64)

eval111.0ms (1.5%)

Memory
-10.3MiB live, 275.2MiB allocated; 39ms collecting garbage
Compiler

Compiled 32 984 to 4 072 computations (87.7% saved)

prune60.0ms (0.8%)

Memory
-6.1MiB live, 135.7MiB allocated; 16ms collecting garbage
Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New77813791
Fresh61218
Picked325
Done134
Total78830818
Accuracy
90.0%
Counts
818 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
82.0%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
78.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
18.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
25.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
23.1%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
20.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
20.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
25.6%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
21.3%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
16.7%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
16.2%
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
61.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
70.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
62.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
56.3%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
57.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
62.5%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
55.4%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
57.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
64.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
78.8%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
57.7%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
61.0%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
76.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
76.1%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
15.2%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
63.6%
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
60.7%
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
52.3%
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Compiler

Compiled 3 401 to 1 354 computations (60.2% saved)

regimes292.0ms (3.9%)

Memory
11.9MiB live, 424.4MiB allocated; 125ms collecting garbage
Counts
60 → 1
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) (*.f64 D M)) (*.f64 d #s(literal 2 binary64))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 D d) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))) (/.f64 h l)))))
(*.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 D d) #s(literal 2 binary64)) M) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) h)) l))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) h) (/.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64)) l))) #s(literal 1 binary64))))
(*.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 h (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 2 binary64))) l))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
Calls

15 calls:

46.0ms
(*.f64 #s(literal 2 binary64) d)
35.0ms
M
25.0ms
w0
20.0ms
D
20.0ms
h
Results
AccuracySegmentsBranch
86.9%1(/.f64 h l)
86.9%1(*.f64 #s(literal 2 binary64) d)
86.9%1(*.f64 M D)
86.9%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
86.9%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.9%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
86.9%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)))
86.9%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))))
86.9%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)))))
86.9%1w0
86.9%1M
86.9%1D
86.9%1h
86.9%1l
86.9%1d
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes186.0ms (2.5%)

Memory
26.9MiB live, 309.0MiB allocated; 15ms collecting garbage
Counts
52 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 M D)) (*.f64 #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64))))) l))))
Outputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
Calls

15 calls:

15.0ms
M
14.0ms
l
13.0ms
D
13.0ms
(*.f64 M D)
13.0ms
w0
Results
AccuracySegmentsBranch
85.4%2(*.f64 #s(literal 2 binary64) d)
86.6%2(*.f64 M D)
85.4%2d
85.5%2(/.f64 h l)
87.3%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
87.3%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
86.4%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)))
86.4%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))))
86.4%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)))))
83.9%1w0
86.9%2M
83.9%1h
85.4%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
85.5%2D
83.9%1l
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes181.0ms (2.4%)

Memory
-0.1MiB live, 232.9MiB allocated; 21ms collecting garbage
Counts
50 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) (/.f64 M d)))) (/.f64 h l)))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
Calls

15 calls:

15.0ms
h
13.0ms
d
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)))))
13.0ms
(/.f64 h l)
12.0ms
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.0%1w0
83.6%2h
83.6%2l
83.6%2(*.f64 #s(literal 2 binary64) d)
83.6%2d
84.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
85.2%2D
84.0%2(/.f64 h l)
85.2%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)))
85.2%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))))
82.0%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)))))
85.2%2(*.f64 M D)
84.0%2M
84.4%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
84.4%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes44.0ms (0.6%)

Memory
14.7MiB live, 60.3MiB allocated; 4ms collecting garbage
Counts
48 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l))))
Calls

4 calls:

12.0ms
(*.f64 M D)
12.0ms
D
9.0ms
(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))))
9.0ms
(-.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)))
Results
AccuracySegmentsBranch
85.2%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)))
85.2%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))))
84.4%2(*.f64 M D)
84.7%2D
Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes82.0ms (1.1%)

Memory
18.5MiB live, 110.3MiB allocated; 5ms collecting garbage
Counts
45 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 h (/.f64 (/.f64 M d) d)) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) d) h) M) (*.f64 #s(literal -1/4 binary64) D)) l) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) d) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ h d) (/ (* M M) d)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* (* (* 1/4 D) (* D (/ h d))) M) (/ M d))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) M)) (/.f64 h d) l) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 h d)) (*.f64 (/.f64 M d) M) l) l))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (/.f64 h l)))))
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)))) l))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (/.f64 h d))) M) (/.f64 M d))) l))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
Calls

8 calls:

11.0ms
M
11.0ms
D
11.0ms
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
10.0ms
(*.f64 M D)
10.0ms
(-.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)))
Results
AccuracySegmentsBranch
81.6%2M
83.0%3(*.f64 M D)
81.5%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
81.5%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
78.8%1D
84.0%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
83.3%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)))
83.3%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))))
Compiler

Compiled 65 to 84 computations (-29.2% saved)

regimes180.0ms (2.4%)

Memory
-43.8MiB live, 148.5MiB allocated; 128ms collecting garbage
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)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) (*.f64 #s(literal -1/4 binary64) D)) D))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M h) (*.f64 (*.f64 (/.f64 M l) #s(literal -1/4 binary64)) D)) (*.f64 d d)) D))))
Outputs
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d))))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
Calls

14 calls:

12.0ms
(*.f64 #s(literal 2 binary64) d)
8.0ms
(*.f64 M D)
8.0ms
h
8.0ms
d
8.0ms
w0
Results
AccuracySegmentsBranch
78.8%1(*.f64 M D)
78.8%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.8%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
78.8%1M
78.8%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)))
78.8%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))))
78.8%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)))))
78.8%1w0
78.8%1h
78.8%1(*.f64 #s(literal 2 binary64) d)
78.8%1d
78.8%1l
78.8%1(/.f64 h l)
81.3%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 92 to 134 computations (-45.7% saved)

regimes15.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) d) l) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) M)) d) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) h) M) (/.f64 (/.f64 (/.f64 M d) l) d) #s(literal 1 binary64))) w0)
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64))))
Calls

2 calls:

7.0ms
(/.f64 h l)
6.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
78.8%1(/.f64 h l)
78.8%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 16 to 20 computations (-25% saved)

regimes90.0ms (1.2%)

Memory
-18.4MiB live, 121.5MiB allocated; 10ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) D) d)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 M M)) (/.f64 h l)) d) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
Calls

15 calls:

8.0ms
w0
7.0ms
(*.f64 #s(literal 2 binary64) d)
6.0ms
d
6.0ms
M
6.0ms
l
Results
AccuracySegmentsBranch
78.0%2(*.f64 #s(literal 2 binary64) d)
78.0%2d
76.1%1M
76.1%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.1%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
78.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
76.1%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)))
76.1%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))))
76.1%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)))))
76.1%1h
76.1%1l
76.1%1(*.f64 M D)
76.1%1w0
76.1%1D
76.1%1(/.f64 h l)
Compiler

Compiled 93 to 140 computations (-50.5% saved)

regimes5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 d l)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) M) (/.f64 M l)) D) (*.f64 #s(literal -1/8 binary64) D) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 h (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) M) (/.f64 M l) #s(literal 1 binary64))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d d) l))))))
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))))
#s(approx (* w0 (sqrt (- 1 (/ (* h (pow (* (/ D 2) (/ M d)) 2)) l)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.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
78.1%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)

regimes9.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) d) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))
Calls

3 calls:

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
72.0%2(*.f64 #s(literal 2 binary64) d)
72.0%2d
77.8%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 17 to 27 computations (-58.8% saved)

regimes36.0ms (0.5%)

Memory
4.4MiB live, 50.7MiB allocated; 2ms collecting garbage
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)))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))))
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.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

13 calls:

4.0ms
(*.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
M
3.0ms
D
3.0ms
w0
3.0ms
l
Results
AccuracySegmentsBranch
63.6%1w0
75.6%2(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
76.0%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)))
76.0%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))))
70.3%3h
68.5%2(/.f64 h l)
71.8%2(*.f64 M D)
75.6%2(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
76.2%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)))))
73.2%2M
65.6%2D
63.6%1l
77.2%2(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 89 to 126 computations (-41.6% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(*.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)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) d))) #s(literal 1 binary64))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 M (*.f64 M h)) (*.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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d l) d)) #s(literal 1 binary64))))
Outputs
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d 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:

2.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Results
AccuracySegmentsBranch
77.1%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)

regimes16.0ms (0.2%)

Memory
-23.2MiB live, 24.8MiB allocated; 6ms collecting garbage
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

13 calls:

4.0ms
(*.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
d
1.0ms
h
1.0ms
D
Results
AccuracySegmentsBranch
63.6%1D
63.6%1(/.f64 h l)
63.6%1h
63.6%1(*.f64 M D)
63.6%1(*.f64 #s(literal 2 binary64) d)
63.6%1d
63.6%1M
63.6%1(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
63.6%1(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
63.6%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)))
63.6%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))))
63.6%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)))))
63.6%1(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))
Compiler

Compiled 91 to 128 computations (-40.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.835027890994938e+53
7.029474592213384e+55
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch10.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
7.511677628940466e+83
1.3288671011025825e+84
Samples
6.0ms64×0valid
0.0ms0invalid
Compiler

Compiled 325 to 258 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (26.1% of total)
ival-mult: 1.0ms (26.1% of total)
ival-pow2: 1.0ms (26.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8172183028159395e+20
1.1248296491845172e+25
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.6120278441939344e+20
-5.783266229048934e-23
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.6120278441939344e+20
-5.783266229048934e-23
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.739964036660386e+83
-1.9430450949247805e+80
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.739964036660386e+83
-1.9430450949247805e+80
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.8002073181103166e+107
-3.486964695208207e+103
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.739964036660386e+83
-1.9430450949247805e+80
Compiler

Compiled 21 to 26 computations (-23.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.6662820782266644e+279
-1.862574681669417e+271
Compiler

Compiled 21 to 26 computations (-23.8% saved)

simplify65.0ms (0.9%)

Memory
0.9MiB live, 47.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0179925
1257925
2561923
32730923
47910923
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1000000000000000078291540404596243842305360299886116864 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l)))))
(if (<=.f64 D #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l)))))
(if (<=.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)))) #s(literal 500000000000000000000 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l)))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) 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 -200000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) 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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.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 -99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) 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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.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 -2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64)))) (*.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
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 (/.f64 M d) D)) #s(literal 4 binary64))) l))))
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 1000000000000000078291540404596243842305360299886116864 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 h (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M d))) (*.f64 d #s(literal 4 binary64)))) l)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l)))))
(if (<=.f64 D #s(literal 1000000000000000057766609898115896702437267127096064137098041863234712334016924614656 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 #s(literal 1/4 binary64) (*.f64 D D))) d)) l)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (/.f64 h d) D) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)))) l)))))
(if (<=.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)))) #s(literal 500000000000000000000 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (*.f64 D h) d)) M) (/.f64 M d))) l)))))
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -200000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) h) (*.f64 (/.f64 (/.f64 (/.f64 M d) l) d) M)) D)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) 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 -200000000000000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 l d)))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) l))) #s(literal 1 binary64)))))
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 M d) h)) (/.f64 (/.f64 M d) 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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.f64 l d)))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (*.f64 D (*.f64 D (/.f64 (*.f64 (/.f64 (*.f64 M M) l) h) d))) (/.f64 #s(literal -1/8 binary64) d) #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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (/.f64 M d) (/.f64 M (*.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 -99999999999999996881384047029926983435371269061279689406644211752791525136670645395254002395395884805259264 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(approx (+ (* (* (* D D) -1/8) (* (/ h (* d d)) (/ (* M M) l))) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 d l)) (/.f64 #s(literal -1/8 binary64) 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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 (neg.f64 M) (/.f64 (neg.f64 M) (*.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 -500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 h (*.f64 M (/.f64 M (*.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 -2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (/.f64 (*.f64 M h) (*.f64 (*.f64 d l) d))) #s(literal 1 binary64)))) (*.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)))

derivations249.0ms (3.3%)

Memory
18.3MiB live, 201.1MiB allocated; 15ms collecting garbage
Stop Event
fuel
Compiler

Compiled 923 to 181 computations (80.4% saved)

preprocess128.0ms (1.7%)

Memory
-8.4MiB live, 174.7MiB allocated; 39ms collecting garbage
Remove

(negabs w0)

Compiler

Compiled 3 142 to 1 242 computations (60.5% saved)

end0.0ms (0%)

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

Profiling

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