Henrywood and Agarwal, Equation (12)

Time bar (total: 11.7s)

start0.0ms (0%)

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

analyze819.0ms (7%)

Memory
43.4MiB live, 573.4MiB allocated; 100ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.1s (43.3%)

Memory
110.8MiB live, 5 742.0MiB allocated; 1.3s collecting garbage
Samples
2.2s13 331×0invalid
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult!: 733.0ms (29.1% of total)
ival-div!: 714.0ms (28.3% of total)
ival-pow: 711.0ms (28.2% of total)
ival-pow2: 301.0ms (11.9% of total)
ival-sub!: 56.0ms (2.2% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

preprocess44.0ms (0.4%)

Memory
-4.9MiB live, 38.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0171589
1635561
23473550
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Symmetry

(abs d)

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 62 to 44 computations (29% saved)

series80.0ms (0.7%)

Memory
8.0MiB live, 144.1MiB allocated; 31ms collecting garbage
Counts
22 → 49
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))) (* (pow d 2) l))) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (* d h)) (sqrt (/ d l)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (pow d 2))) (* l (* (sqrt (* d l)) (sqrt (/ d h))))) (pow l 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
15.0ms
M
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms
h
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
7.0ms
d
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms
d
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
5.0ms
h
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))

rewrite662.0ms (5.6%)

Memory
3.5MiB live, 612.8MiB allocated; 181ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181689
02431548
17031526
232711510
080791471
0223141431
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
71 → 353
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
d
h
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d l)
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx d #s(hole binary64 d))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))) (* (pow d 2) l))) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (* d h)) (sqrt (/ d l)))) h)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (pow d 2))) (* l (* (sqrt (* d l)) (sqrt (/ d h))))) (pow l 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))) (-.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))))
(fma.f64 (/.f64 (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 d h))) d) (/.f64 (sqrt.f64 (/.f64 d l)) d) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 (*.f64 d d) d) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) d) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 d d) d) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (/.f64 d l)) (*.f64 d d)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (*.f64 d d) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 d d)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
(+.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) (neg.f64 d)))) (sqrt.f64 (neg.f64 (neg.f64 l))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) (/.f64 d l)))) (sqrt.f64 (neg.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 d (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 h) l))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (neg.f64 d) d))) (sqrt.f64 (neg.f64 (*.f64 h (neg.f64 l)))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 h) (neg.f64 l)))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (neg.f64 (*.f64 h l))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (*.f64 (neg.f64 h) l)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (*.f64 h (neg.f64 l))))
(/.f64 (sqrt.f64 (*.f64 d (/.f64 d l))) (sqrt.f64 h))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 (neg.f64 (neg.f64 h)))))
(/.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 #s(literal 1 binary64) h)))
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(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 #s(literal 1 binary64) h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 (/.f64 d h))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 h))))
(/.f64 (fabs.f64 d) (*.f64 #s(literal 1 binary64) h))
(/.f64 (fabs.f64 d) h)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d (*.f64 #s(literal 1 binary64) h))
(/.f64 d h)
(neg.f64 (/.f64 d (neg.f64 h)))
(neg.f64 (/.f64 (neg.f64 d) h))
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 (neg.f64 (neg.f64 l)))))
(/.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 l))
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(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
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(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (neg.f64 l))))
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(/.f64 d l)
(neg.f64 (/.f64 d (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 d) l))
l
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(/.f64 (*.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D (+.f64 d d)) M)) d)
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 D (+.f64 d d)) M)) (+.f64 d d))
(/.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 D) M)) (*.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 d)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) d) d))
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) (*.f64 D M)) (*.f64 (*.f64 #s(literal -2 binary64) d) (+.f64 d d)))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M #s(literal 2 binary64)))) (*.f64 (+.f64 d d) d))
(/.f64 (*.f64 (*.f64 D M) (*.f64 (neg.f64 D) M)) (*.f64 (+.f64 d d) (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(fabs.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (*.f64 (/.f64 D (+.f64 d d)) M))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 2 binary64)))
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))
(*.f64 (/.f64 D (+.f64 d d)) 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 d)))
(*.f64 M (/.f64 D (+.f64 d d)))
(/.f64 (neg.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 D) M))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) d))))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) 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 D) M)) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) (fabs.f64 d))
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d)
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (*.f64 D M) (+.f64 d d))
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)))
(neg.f64 (/.f64 (*.f64 (neg.f64 D) M) (+.f64 d d)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fabs.f64 d) #s(literal 3 binary64)) (pow.f64 (fabs.f64 d) #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.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))))
(/.f64 (-.f64 (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))) (*.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))) (-.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 (fabs.f64 d) (fabs.f64 d)))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(fma.f64 (sqrt.f64 (fabs.f64 (fabs.f64 d))) (sqrt.f64 (fabs.f64 (fabs.f64 d))) (fabs.f64 d))
(fma.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d)) (fabs.f64 d))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 d))) (fabs.f64 d))
(fma.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)) (fabs.f64 d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (fabs.f64 d))
(fma.f64 (pow.f64 d #s(literal 1/2 binary64)) (pow.f64 d #s(literal 1/2 binary64)) (fabs.f64 d))
(fma.f64 #s(literal 1 binary64) d (fabs.f64 d))
(fma.f64 d #s(literal 1 binary64) (*.f64 d #s(literal 1 binary64)))
(+.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))
(+.f64 (fabs.f64 d) (fabs.f64 d))
(+.f64 d d)
(/.f64 (neg.f64 (neg.f64 (neg.f64 h))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (*.f64 #s(literal 1 binary64) h) l)
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
(neg.f64 (/.f64 h (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 h) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h)))
#s(approx (/ d h) (/.f64 d h))
#s(approx d d)
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 d d)) #s(literal 1/8 binary64)))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 d d)) #s(literal 1/4 binary64)))
#s(approx (/ (* M D) (* 2 d)) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* 2 d) (+.f64 d d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) d))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) h))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h)) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 h) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (neg.f64 h)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l)) (*.f64 l l)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l))
#s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 l d)) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) (*.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 D D)) #s(literal -1/8 binary64)))))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h #s(literal 1 binary64)))

eval45.0ms (0.4%)

Memory
-19.6MiB live, 65.7MiB allocated; 12ms collecting garbage
Compiler

Compiled 4 981 to 1 738 computations (65.1% saved)

prune100.0ms (0.8%)

Memory
-9.5MiB live, 52.5MiB allocated; 8ms collecting garbage
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New30531336
Fresh000
Picked101
Done000
Total30631337
Accuracy
91.6%
Counts
337 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.9%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))) (-.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))))
58.1%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
28.4%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
29.3%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.8%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
73.8%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
24.2%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.2%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
26.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal 1/2 binary64)) h) l)))
24.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 D (*.f64 d d))))) (/.f64 h l))))
31.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
9.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h)))
19.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
0.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
35.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
33.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
30.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 l d)) l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
38.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
31.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
21.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
48.4%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
18.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) h))
22.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
45.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
41.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h)) h))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
23.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
38.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
23.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
5.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
Compiler

Compiled 2 106 to 1 768 computations (16% saved)

series266.0ms (2.3%)

Memory
29.7MiB live, 259.4MiB allocated; 31ms collecting garbage
Counts
49 → 184
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(sqrt.f64 (*.f64 (/.f64 d h) d))
(*.f64 (/.f64 d h) d)
(sqrt.f64 l)
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
(sqrt.f64 h)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (* h l))))) (/ (* (pow d 2) (fabs d)) (sqrt (* h l)))) (pow d 2))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (fabs d) #s(hole binary64 (fabs d)))
#s(approx d #s(hole binary64 d))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ d l))))) (* (pow d 2) l)))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ d l))))) l)) (* (pow d 2) (sqrt (/ d l)))) (pow d 2))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* (* (* M M) D) D) (* 4 (* d d))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* 4 (* d d)) #s(hole binary64 (* 4 (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* d (* l (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* l (sqrt l)))) (/ (* (pow d 2) (sqrt (/ 1 h))) (sqrt l))) d)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (/ (* d (sqrt (/ 1 h))) (sqrt l))))
#s(approx (sqrt (* (/ d h) d)) #s(hole binary64 (* d (sqrt (/ 1 h)))))
#s(approx (* (/ d h) d) #s(hole binary64 (/ (pow d 2) h)))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt d) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt h)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt d) (sqrt (/ d l)))))) (* l (sqrt h)))) (/ (* (pow d 2) (* (sqrt d) (sqrt (/ d l)))) (sqrt h))) (pow d 2))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt d) (sqrt (/ d l))) (sqrt h))))
#s(approx (/ (sqrt d) (sqrt h)) #s(hole binary64 (/ (sqrt d) (sqrt h))))
#s(approx (sqrt d) #s(hole binary64 (sqrt d)))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (sqrt (* h l))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))) (* (pow d 2) l))) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l))))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
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#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (* M M) D) D) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* (* M M) D) #s(hole binary64 (* D (pow M 2))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ d l)))) (* (pow d 2) l))) (/ (sqrt (/ d l)) (pow M 2))))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt d) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt h))))) (/ (* (sqrt d) (sqrt (/ d l))) (* (pow M 2) (sqrt h)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ d l)))) (* (pow d 2) l))) (/ (sqrt (/ d l)) (pow D 2))))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt d) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt h))))) (/ (* (sqrt d) (sqrt (/ d l))) (* (pow D 2) (sqrt h)))))))
Calls

15 calls:

TimeVariablePointExpression
78.0ms
M
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ (* (* (* M M) D) D) (* 4 (* d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* 4 (* d d)) 4 (* d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (sqrt l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)))
62.0ms
l
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ (* (* (* M M) D) D) (* 4 (* d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* 4 (* d d)) 4 (* d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (sqrt l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)))
18.0ms
d
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ (* (* (* M M) D) D) (* 4 (* d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* 4 (* d d)) 4 (* d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (sqrt l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)))
15.0ms
D
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ (* (* (* M M) D) D) (* 4 (* d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* 4 (* d d)) 4 (* d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (sqrt l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)))
10.0ms
h
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ (* (* (* M M) D) D) (* 4 (* d d))) (* (* (* M M) D) D) (* (* M M) D) (* M M) (* 4 (* d d)) 4 (* d d) -1/2 (sqrt (/ d l)) (/ d l) (sqrt (/ d h)) (/ d h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (sqrt l) (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (/ (sqrt d) (sqrt h)) (sqrt d) (sqrt h) (pow (/ d l) (/ 1 2)))

rewrite326.0ms (2.8%)

Memory
-17.4MiB live, 419.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07047480
07746876
122576713
087386643
0158296574
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
233 → 667
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) D) D)
(*.f64 (*.f64 M M) D)
(*.f64 M M)
(*.f64 #s(literal 4 binary64) (*.f64 d d))
#s(literal 4 binary64)
(*.f64 d d)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(sqrt.f64 (*.f64 (/.f64 d h) d))
(*.f64 (/.f64 d h) d)
(sqrt.f64 l)
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(sqrt.f64 d)
(sqrt.f64 h)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (* h l))))) (/ (* (pow d 2) (fabs d)) (sqrt (* h l)))) (pow d 2))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (fabs d) #s(hole binary64 (fabs d)))
#s(approx d #s(hole binary64 d))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (* 2 d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
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#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (* d l))))) (pow d 2))) (* l (sqrt (* d l)))) (pow l 2))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (sqrt l)))) (/ (* l (sqrt (/ (pow d 2) h))) (sqrt l))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt d) (sqrt (* d l)))))) (* (pow d 2) (* (pow l 2) (sqrt h)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt d) (sqrt (* d l)))))) (* (pow d 2) (sqrt h)))) (/ (* l (* (sqrt d) (sqrt (* d l)))) (sqrt h))) (pow l 2))))
#s(approx (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt d) (sqrt (* d l))) (* l (sqrt h)))))
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l)))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (* M M) D) D) #s(hole binary64 (* (pow D 2) (pow M 2))))
#s(approx (* (* M M) D) #s(hole binary64 (* D (pow M 2))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ d l)))) (* (pow d 2) l))) (/ (sqrt (/ d l)) (pow M 2))))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt d) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt h))))) (/ (* (sqrt d) (sqrt (/ d l))) (* (pow M 2) (sqrt h)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ d l)))) (* (pow d 2) l))) (/ (sqrt (/ d l)) (pow D 2))))))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (* (* (/ (sqrt d) (sqrt h)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt d) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt h))))) (/ (* (sqrt d) (sqrt (/ d l))) (* (pow D 2) (sqrt h)))))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 l)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
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(/.f64 (*.f64 (neg.f64 (fabs.f64 d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))) (neg.f64 (sqrt.f64 l)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))) (neg.f64 (sqrt.f64 h)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))) (sqrt.f64 h))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))) (neg.f64 (sqrt.f64 h)))
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(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))) (sqrt.f64 l))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (*.f64 M M)) (/.f64 (*.f64 D D) (*.f64 (*.f64 (sqrt.f64 l) l) (*.f64 d d)))) #s(literal 1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (neg.f64 h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (*.f64 M M)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) l) (*.f64 d d)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (*.f64 M M)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) l) (*.f64 d d)))) #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (*.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (*.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))))
#s(approx (sqrt (/ d h)) (/.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) h)))
#s(approx (sqrt h) (*.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fabs.f64 d) l) (sqrt.f64 (*.f64 l h)))) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 d d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l)) (*.f64 l l)))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 d d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l)) (*.f64 l l)))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 l d)) h) (*.f64 M M)) (/.f64 (*.f64 D D) (*.f64 (*.f64 l l) (*.f64 d d)))) #s(literal -1/8 binary64)))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 l d)) h) (*.f64 M M)) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 l d)) l)) (*.f64 l l)))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 l d)) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fabs.f64 d) l) (sqrt.f64 (*.f64 l h)))) l))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)))) (*.f64 d d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l)) (*.f64 l l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l))
#s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 l d)) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 h l)) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) l))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (sqrt l) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) (neg.f64 l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (sqrt (* h l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 D (*.f64 d d))) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) (neg.f64 l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (sqrt l) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* (* M M) D) D) (*.f64 (*.f64 (*.f64 M M) D) D))
#s(approx (* (* M M) D) (*.f64 (*.f64 M M) D))
#s(approx (* M M) (*.f64 M M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 M M) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) (*.f64 M M))) (*.f64 M M)))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 M M) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (*.f64 (*.f64 (sqrt.f64 l) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d l)) (*.f64 D D))) (*.f64 D D)))
#s(approx (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))

eval139.0ms (1.2%)

Memory
-16.7MiB live, 124.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 11 029 to 2 652 computations (76% saved)

prune52.0ms (0.4%)

Memory
25.6MiB live, 115.7MiB allocated; 9ms collecting garbage
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New71538753
Fresh19726
Picked415
Done000
Total73846784
Accuracy
93.3%
Counts
784 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.4%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
22.2%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D D) (pow.f64 (/.f64 M (+.f64 d d)) #s(literal 2 binary64)))) (/.f64 h l))))
8.1%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
42.8%
(*.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
73.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
25.0%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
33.5%
(*.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
29.1%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) d)) d) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
0.0%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
24.9%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
25.0%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 4 binary64) d) d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 D (*.f64 d d))))) (/.f64 h l))))
58.1%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
24.1%
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
10.1%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
18.9%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
5.3%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
18.6%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) l))
21.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
25.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
22.1%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
14.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
12.5%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
45.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
33.3%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (/.f64 #s(literal -1/8 binary64) d)))
26.5%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
18.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) h))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
26.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
45.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
27.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
23.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
38.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
5.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
26.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
33.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
Compiler

Compiled 2 881 to 2 723 computations (5.5% saved)

series230.0ms (2%)

Memory
-0.9MiB live, 337.0MiB allocated; 38ms collecting garbage
Counts
53 → 180
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))
(*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d))))
(*.f64 D M)
D
M
(*.f64 D (/.f64 M (+.f64 d d)))
(/.f64 M (+.f64 d d))
(+.f64 d d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))
(/.f64 (*.f64 d d) (*.f64 l h))
(*.f64 d d)
(*.f64 l h)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l))
(neg.f64 (fabs.f64 d))
(*.f64 (sqrt.f64 (/.f64 h l)) l)
(sqrt.f64 (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D)
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D)
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
(*.f64 (*.f64 d d) l)
#s(literal -1/8 binary64)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))
(sqrt.f64 (*.f64 (/.f64 d h) d))
(*.f64 (/.f64 d h) d)
(/.f64 d h)
(sqrt.f64 l)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d)))))
(*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))
Outputs
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (* h l))))) (/ (* (pow d 2) (fabs d)) (sqrt (* h l)))) (pow d 2))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (fabs d) #s(hole binary64 (fabs d)))
#s(approx d #s(hole binary64 d))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (* D M) (* D (/ M (+ d d)))) #s(hole binary64 (* 1/2 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (* D (/ M (+ d d))) #s(hole binary64 (* 1/2 (/ (* D M) d))))
#s(approx (/ M (+ d d)) #s(hole binary64 (* 1/2 (/ M d))))
#s(approx (+ d d) #s(hole binary64 (* 2 d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) l)) (* (pow d 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (pow d 2))))
#s(approx (sqrt (/ (* d d) (* l h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (* d d) (* l h)) #s(hole binary64 (/ (pow d 2) (* h l))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* d (* l (sqrt l)))))))
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#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ l h))))))
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#s(approx (sqrt (/ (* d d) (* l h))) #s(hole binary64 (sqrt (/ (pow d 2) (* h l)))))
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#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
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#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (+ (* -1 (/ (fabs d) (* h (sqrt (/ l h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h)))))))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
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#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l)))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l))))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) #s(hole binary64 (/ (* D (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l))))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (/ (* (pow M 2) (* h (fabs d))) (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l)))))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) #s(hole binary64 (* -1 (/ (* D (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l)))))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (* (pow M 2) (* h (fabs d))) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
74.0ms
D
@-inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ 1 2) 2 (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) (* (* D M) (* D (/ M (+ d d)))) (* D M) D M (* D (/ M (+ d d))) (/ M (+ d d)) (+ d d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (* (* M M) h) (* M M) (* (* d d) l) -1/8 (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (sqrt l) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)) (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (* (* D (/ M (+ d d))) (* D (/ M (+ d d)))))
16.0ms
d
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ 1 2) 2 (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) (* (* D M) (* D (/ M (+ d d)))) (* D M) D M (* D (/ M (+ d d))) (/ M (+ d d)) (+ d d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (* (* M M) h) (* M M) (* (* d d) l) -1/8 (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (sqrt l) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)) (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (* (* D (/ M (+ d d))) (* D (/ M (+ d d)))))
14.0ms
l
@-inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ 1 2) 2 (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) (* (* D M) (* D (/ M (+ d d)))) (* D M) D M (* D (/ M (+ d d))) (/ M (+ d d)) (+ d d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (* (* M M) h) (* M M) (* (* d d) l) -1/8 (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (sqrt l) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)) (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (* (* D (/ M (+ d d))) (* D (/ M (+ d d)))))
14.0ms
d
@-inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ 1 2) 2 (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) (* (* D M) (* D (/ M (+ d d)))) (* D M) D M (* D (/ M (+ d d))) (/ M (+ d d)) (+ d d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (* (* M M) h) (* M M) (* (* d d) l) -1/8 (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (sqrt l) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)) (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (* (* D (/ M (+ d d))) (* D (/ M (+ d d)))))
12.0ms
d
@inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)) (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ 1 2) 2 (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d)) (* (* D M) (* D (/ M (+ d d)))) (* D M) D M (* D (/ M (+ d d))) (/ M (+ d d)) (+ d d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* l h))) (/ (* d d) (* l h)) (* d d) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (* (* M M) h) (* M M) (* (* d d) l) -1/8 (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (sqrt (* (/ d h) d)) (* (/ d h) d) (/ d h) (sqrt l) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)) (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (* (* D (/ M (+ d d))) (* D (/ M (+ d d)))))

rewrite358.0ms (3.1%)

Memory
-5.8MiB live, 362.9MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06137540
06967068
118916547
085716478
0130606427
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
233 → 1 001
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))
(*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d))))
(*.f64 D M)
D
M
(*.f64 D (/.f64 M (+.f64 d d)))
(/.f64 M (+.f64 d d))
(+.f64 d d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))
(/.f64 (*.f64 d d) (*.f64 l h))
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#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (sqrt (/ l h))))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) #s(hole binary64 (* -1 (/ (* D (* (pow M 2) (fabs d))) (sqrt (/ l h))))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (* (pow M 2) (fabs d)) (sqrt (/ l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) h)) (* h (sqrt l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))))))))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (sqrt (* h l))))) (/ (* l (fabs d)) (sqrt (* h l)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* d l)) (sqrt (/ d h)))))) (pow d 2))) (* l (* (sqrt (* d l)) (sqrt (/ d h))))) (pow l 2))))
#s(approx (sqrt (/ (* d d) (* l h))) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) l) h)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (sqrt l)))) (/ (* l (sqrt (/ (pow d 2) h))) (sqrt l))) l)))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (sqrt (* h l))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (/ (sqrt (* h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (sqrt l)))) (/ (* l (sqrt (/ (pow d 2) h))) (sqrt l))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l)))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l)))
#s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l)))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l))))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) #s(hole binary64 (/ (* D (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l))))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (/ (* (pow M 2) (* h (fabs d))) (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l)))))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) #s(hole binary64 (* -1 (/ (* D (* (pow M 2) (* h (fabs d)))) (* l (sqrt (/ h l)))))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (* (pow M 2) (* h (fabs d))) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow M 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (* (/ 1 2) (/ (* (* D M) (* D (/ M (+ d d)))) (+ d d))) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) (pow D 2))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 l)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) (*.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) l))
#s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) l))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (sqrt l) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) (neg.f64 l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (sqrt (* h l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) (neg.f64 l)))
#s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64)))
#s(approx (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))))
#s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) (*.f64 (neg.f64 D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l))))) (neg.f64 l)))
#s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (sqrt l) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
#s(approx (* D M) (*.f64 M D))
#s(approx M M)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* M M) (*.f64 M M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx D D)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (*.f64 (*.f64 D D) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (* (* D (/ M (+ d d))) (* D (/ M (+ d d))))) (/ h l))) (*.f64 (*.f64 D D) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))

eval89.0ms (0.8%)

Memory
12.3MiB live, 204.0MiB allocated; 34ms collecting garbage
Compiler

Compiled 11 253 to 4 174 computations (62.9% saved)

prune76.0ms (0.6%)

Memory
-3.1MiB live, 195.3MiB allocated; 11ms collecting garbage
Pruning

63 alts after pruning (61 fresh and 2 done)

PrunedKeptTotal
New83237869
Fresh162440
Picked415
Done011
Total85263915
Accuracy
94.9%
Counts
915 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.4%
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))) (sqrt.f64 l))
22.2%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D D) (pow.f64 (/.f64 M (+.f64 d d)) #s(literal 2 binary64)))) (/.f64 h l))))
29.4%
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
42.0%
(*.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
68.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
70.3%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d)))) h) (*.f64 (+.f64 d d) l))))
73.8%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))))
73.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 (/.f64 M (+.f64 d d)) D)) (/.f64 h l))))
33.5%
(*.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
24.9%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
25.0%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 4 binary64) d) d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 D (*.f64 d d))))) (/.f64 h l))))
29.0%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))))
68.8%
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
18.9%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
5.3%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
18.6%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
23.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
25.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
16.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
2.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
6.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
16.3%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
22.1%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
14.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
23.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
45.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
34.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
40.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
6.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
18.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) h))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
26.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
45.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
27.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
22.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
12.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
13.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
12.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
38.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
24.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
23.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
27.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
25.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
31.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
33.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
31.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
21.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
8.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
Compiler

Compiled 4 022 to 3 838 computations (4.6% saved)

series333.0ms (2.8%)

Memory
3.4MiB live, 244.7MiB allocated; 23ms collecting garbage
Counts
57 → 172
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
#s(literal 1/2 binary64)
(*.f64 M D)
M
D
(+.f64 d d)
(/.f64 h l)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
(/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h))))
(neg.f64 (fabs.f64 d))
#s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
(/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l)
(/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l)))
(sqrt.f64 (/.f64 h l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D))
(*.f64 (*.f64 M M) (fabs.f64 d))
(*.f64 M M)
(*.f64 D D)
(*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))
(*.f64 (sqrt.f64 (/.f64 l h)) l)
(sqrt.f64 (/.f64 l h))
(/.f64 l h)
(*.f64 d d)
#s(literal 1/8 binary64)
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))) (sqrt.f64 l))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 h))
(sqrt.f64 h)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)
(*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d)))
(*.f64 (*.f64 M D) D)
(/.f64 M (+.f64 d d))
(sqrt.f64 l)
Outputs
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (* h l))))) (/ (* (pow d 2) (fabs d)) (sqrt (* h l)))) (pow d 2))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (fabs d) #s(hole binary64 (fabs d)))
#s(approx d #s(hole binary64 d))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (* 1/2 (* M D)) (+ d d)) #s(hole binary64 (* 1/4 (/ (* D M) d))))
#s(approx (+ d d) #s(hole binary64 (* 2 d)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* d (* l (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* l (sqrt l)))) (/ (* (pow d 2) (sqrt (/ 1 h))) (sqrt l))) d)))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (neg (fabs d)) #s(hole binary64 (* -1 (fabs d))))
#s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (/ (neg (fabs d)) (sqrt (/ h l))) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (/ h l))))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h)))))))
#s(approx (* (* (* M M) (fabs d)) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (fabs d)))))
#s(approx (* (* M M) (fabs d)) #s(hole binary64 (* (pow M 2) (fabs d))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (* (pow d 2) (* l (sqrt (/ l h))))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (* (sqrt h) (sqrt l))))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (* (sqrt h) (sqrt l))))) (/ (* (pow d 2) (fabs d)) (* (sqrt h) (sqrt l)))) (pow d 2))))
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#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt h)))) (/ (* (pow d 2) (fabs d)) (sqrt h))) (pow d 2))))
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#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
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#s(approx (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ (* (* (* M D) D) (/ M (+ d d))) d) #s(hole binary64 (* 1/2 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
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#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
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#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 1))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* d (sqrt (/ 1 h))) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ 1 h)) (sqrt l))))))
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#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ (fabs d) (* (sqrt h) (sqrt l))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (/ (fabs d) (sqrt h))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt h))))) (/ (fabs d) (sqrt h)))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ 1 h)) (sqrt l)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (sqrt (* h l))))
#s(approx (* h l) #s(hole binary64 (* h l)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (* (pow d 2) h)) (* h (sqrt l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (* (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (* (pow d 2) h)) (sqrt l))) h)))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l))))
#s(approx (* l h) #s(hole binary64 (* h l)))
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l)))))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (/ (* (pow d 2) (* l (sqrt (* h l)))) h)))
#s(approx (* (sqrt (/ l h)) l) #s(hole binary64 (/ (* l (sqrt (* h l))) h)))
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#s(approx (/ l h) #s(hole binary64 (/ l h)))
#s(approx (sqrt h) #s(hole binary64 (sqrt h)))
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#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h)))))) (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ l h))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* h (sqrt (/ l h)))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* h (sqrt l)))))))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (* h (* l (sqrt (/ 1 (* h l)))))))))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (* h (* l (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* h (sqrt (/ l h)))))
#s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) #s(hole binary64 (* -1 (/ (fabs d) (* h (* l (sqrt (/ 1 (* h l)))))))))
#s(approx (/ (neg (fabs d)) (sqrt (/ h l))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* h (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (/ l h)) l) #s(hole binary64 (* l (sqrt (/ l h)))))
#s(approx (sqrt (/ l h)) #s(hole binary64 (sqrt (/ l h))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (* (sqrt l) (sqrt (/ 1 h))))))) (/ (fabs d) (* h (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ 1 h))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ 1 h)))))) (/ (fabs d) (* h (sqrt (/ 1 h)))))))
#s(approx (/ (fabs d) (sqrt h)) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ 1 h))))))
#s(approx (sqrt h) #s(hole binary64 (* h (sqrt (/ 1 h)))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (+ (* -1 (/ (fabs d) (* h (sqrt (/ l h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h)))))))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* h (sqrt (/ l h))))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) h)) (* h (sqrt l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))))))))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (/ (fabs d) (* h (* l (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (* -1 (* h (* l (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* h (sqrt (/ l h))))))
#s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) #s(hole binary64 (/ (fabs d) (* h (* l (sqrt (/ 1 (* h l))))))))
#s(approx (/ (neg (fabs d)) (sqrt (/ h l))) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* h (sqrt (/ 1 (* h l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (+ (* -1 (/ (fabs d) (* h (* (sqrt l) (sqrt (/ 1 h)))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (* (sqrt l) (sqrt (/ 1 h))))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ 1 h))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (+ (* -1 (/ (fabs d) (* h (sqrt (/ 1 h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ 1 h)))))))))
#s(approx (/ (fabs d) (sqrt h)) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ 1 h)))))))
#s(approx (sqrt h) #s(hole binary64 (* -1 (* h (sqrt (/ 1 h))))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (sqrt (* h l))))) (/ (* l (fabs d)) (sqrt (* h l)))) l)))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (sqrt l)))) (/ (* l (sqrt (/ (pow d 2) h))) (sqrt l))) l)))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (sqrt (* h l))))
#s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
#s(approx (/ (neg (fabs d)) (sqrt (/ h l))) #s(hole binary64 (* -1 (/ (* l (fabs d)) (sqrt (* h l))))))
#s(approx (sqrt (/ h l)) #s(hole binary64 (/ (sqrt (* h l)) l)))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* (sqrt h) (sqrt l))))) (/ (* l (fabs d)) (* (sqrt h) (sqrt l)))) l)))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (sqrt h)))) (/ (* l (fabs d)) (sqrt h))) l)))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l)))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l)))
#s(approx (sqrt (* l h)) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (/ l h)) l) #s(hole binary64 (* (pow l 2) (sqrt (/ 1 (* h l))))))
#s(approx (sqrt (/ l h)) #s(hole binary64 (* l (sqrt (/ 1 (* h l))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (/ (fabs d) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ (fabs d) (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (/ h l)))))) (/ (fabs d) (sqrt (/ h l)))) l))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (* -1 (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ l h)) l) #s(hole binary64 (* -1 (* (pow l 2) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (/ l h)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* h l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1 (/ (fabs d) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ (fabs d) (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* 1/2 (* M D)) #s(hole binary64 (* 1/2 (* D M))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (* M D) D) #s(hole binary64 (* (pow D 2) M)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ (fabs d) (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt h))))) (/ (fabs d) (* (pow M 2) (sqrt h)))))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ (fabs d) (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt h))))) (/ (fabs d) (* (pow D 2) (sqrt h)))))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
64.0ms
d
@inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (/ (* 1/2 (* M D)) (+ d d)) (* 1/2 (* M D)) 1/2 (* M D) M D (+ d d) (/ h l) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (* l h)) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/ (neg (fabs d)) (sqrt (/ h l))) (sqrt (/ h l)) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* (* M M) (fabs d)) (* D D)) (* (* M M) (fabs d)) (* M M) (* D D) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h) (* d d) 1/8 (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/ (fabs d) (sqrt h)) (sqrt h) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)) (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d) (* (* (* M D) D) (/ M (+ d d))) (* (* M D) D) (/ M (+ d d)) (sqrt l))
62.0ms
l
@-inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (/ (* 1/2 (* M D)) (+ d d)) (* 1/2 (* M D)) 1/2 (* M D) M D (+ d d) (/ h l) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (* l h)) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/ (neg (fabs d)) (sqrt (/ h l))) (sqrt (/ h l)) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* (* M M) (fabs d)) (* D D)) (* (* M M) (fabs d)) (* M M) (* D D) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h) (* d d) 1/8 (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/ (fabs d) (sqrt h)) (sqrt h) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)) (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d) (* (* (* M D) D) (/ M (+ d d))) (* (* M D) D) (/ M (+ d d)) (sqrt l))
47.0ms
D
@inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (/ (* 1/2 (* M D)) (+ d d)) (* 1/2 (* M D)) 1/2 (* M D) M D (+ d d) (/ h l) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (* l h)) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/ (neg (fabs d)) (sqrt (/ h l))) (sqrt (/ h l)) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* (* M M) (fabs d)) (* D D)) (* (* M M) (fabs d)) (* M M) (* D D) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h) (* d d) 1/8 (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/ (fabs d) (sqrt h)) (sqrt h) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)) (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d) (* (* (* M D) D) (/ M (+ d d))) (* (* M D) D) (/ M (+ d d)) (sqrt l))
39.0ms
h
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (/ (* 1/2 (* M D)) (+ d d)) (* 1/2 (* M D)) 1/2 (* M D) M D (+ d d) (/ h l) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (* l h)) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/ (neg (fabs d)) (sqrt (/ h l))) (sqrt (/ h l)) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* (* M M) (fabs d)) (* D D)) (* (* M M) (fabs d)) (* M M) (* D D) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h) (* d d) 1/8 (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/ (fabs d) (sqrt h)) (sqrt h) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)) (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d) (* (* (* M D) D) (/ M (+ d d))) (* (* M D) D) (/ M (+ d d)) (sqrt l))
32.0ms
M
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (/ (* 1/2 (* M D)) (+ d d)) (* 1/2 (* M D)) 1/2 (* M D) M D (+ d d) (/ h l) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (neg (fabs d)) (* (sqrt (/ h l)) l) (sqrt (* l h)) (* l h) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/ (neg (fabs d)) (sqrt (/ h l))) (sqrt (/ h l)) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (* (* (* M M) (fabs d)) (* D D)) (* (* M M) (fabs d)) (* M M) (* D D) (* (* (sqrt (/ l h)) l) (* d d)) (* (sqrt (/ l h)) l) (sqrt (/ l h)) (/ l h) (* d d) 1/8 (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/ (fabs d) (sqrt h)) (sqrt h) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)) (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d) (* (* (* M D) D) (/ M (+ d d))) (* (* M D) D) (/ M (+ d d)) (sqrt l))

rewrite255.0ms (2.2%)

Memory
35.7MiB live, 405.8MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06086564
06946306
118666118
084446070
0133666025
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
229 → 717
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d))
(*.f64 #s(literal 1/2 binary64) (*.f64 M D))
#s(literal 1/2 binary64)
(*.f64 M D)
M
D
(+.f64 d d)
(/.f64 h l)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
(/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h))))
(neg.f64 (fabs.f64 d))
#s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
(/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l)
(/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l)))
(sqrt.f64 (/.f64 h l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d)))
(*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D))
(*.f64 (*.f64 M M) (fabs.f64 d))
(*.f64 M M)
(*.f64 D D)
(*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))
(*.f64 (sqrt.f64 (/.f64 l h)) l)
(sqrt.f64 (/.f64 l h))
(/.f64 l h)
(*.f64 d d)
#s(literal 1/8 binary64)
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))) (sqrt.f64 l))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(/.f64 (fabs.f64 d) (sqrt.f64 h))
(sqrt.f64 h)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d))
#s(literal 1/4 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)
(*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d)))
(*.f64 (*.f64 M D) D)
(/.f64 M (+.f64 d d))
(sqrt.f64 l)
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (sqrt (* h l))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt (* h l))))) (/ (* (pow d 2) (fabs d)) (sqrt (* h l)))) (pow d 2))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (sqrt (* h l)))))
#s(approx (fabs d) #s(hole binary64 (fabs d)))
#s(approx d #s(hole binary64 d))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
#s(approx (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) d))))
#s(approx (/ (* 1/2 (* M D)) (+ d d)) #s(hole binary64 (* 1/4 (/ (* D M) d))))
#s(approx (+ d d) #s(hole binary64 (* 2 d)))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 h))))) (* l (sqrt l)))) (/ (* (pow d 2) (sqrt (/ 1 h))) (sqrt l))) d)))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
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#s(approx (/ (neg (fabs d)) (sqrt (/ h l))) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (/ h l))))))
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#s(approx (* (* (* M M) (fabs d)) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (fabs d)))))
#s(approx (* (* M M) (fabs d)) #s(hole binary64 (* (pow M 2) (fabs d))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (* (pow d 2) (* l (sqrt (/ l h))))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
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#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* l (sqrt h)))) (/ (* (pow d 2) (fabs d)) (sqrt h))) (pow d 2))))
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#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2))))
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#s(approx (/ (* (* (* M D) D) (/ M (+ d d))) d) #s(hole binary64 (* 1/2 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (* (* M D) D) (/ M (+ d d))) #s(hole binary64 (* 1/2 (/ (* (pow D 2) (pow M 2)) d))))
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#s(approx (sqrt (* h l)) #s(hole binary64 (sqrt (* h l))))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (* (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (* (pow d 2) h)) (sqrt l))) h)))
#s(approx (* (sqrt (/ h l)) l) #s(hole binary64 (* l (sqrt (/ h l)))))
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#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (/ (* (pow d 2) (* l (sqrt (* h l)))) h)))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) h)) (* h (sqrt l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))))))))
#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (/ (fabs d) (* h (* l (sqrt (/ 1 (* h l))))))))
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#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* h (sqrt (/ 1 (* h l)))))))
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#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (+ (* -1 (/ (fabs d) (* h (* (sqrt l) (sqrt (/ 1 h)))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (* (sqrt l) (sqrt (/ 1 h))))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* l (sqrt (/ 1 h))))))))
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#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (sqrt (* h l))))) (/ (* l (fabs d)) (sqrt (* h l)))) l)))
#s(approx l #s(hole binary64 l))
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#s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
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#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
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#s(approx (sqrt (* l h)) #s(hole binary64 (* l (sqrt (/ h l)))))
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#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
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#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ (pow d 2) h)) (* l (sqrt (/ 1 l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt (/ 1 l)))))) (/ (sqrt (/ (pow d 2) h)) (sqrt (/ 1 l)))) l))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) #s(hole binary64 (* -1 (/ (* (pow D 2) (* (pow M 2) (fabs d))) (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) #s(hole binary64 (* -1 (* (pow d 2) (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (* (sqrt (/ l h)) l) #s(hole binary64 (* -1 (* (pow l 2) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (/ l h)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* h l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1 (/ (fabs d) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (fabs d)))) (* (pow d 2) (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ (fabs d) (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* 1/2 (* M D)) #s(hole binary64 (* 1/2 (* D M))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (pow d 2) h)) (sqrt l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) h))))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (sqrt l)))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (* M D) D) #s(hole binary64 (* (pow D 2) M)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow M 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow M 2) (sqrt l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ (fabs d) (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt h))))) (/ (fabs d) (* (pow M 2) (sqrt h)))))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt (* h l)))))) (/ (fabs d) (* (pow D 2) (sqrt (* h l))))))))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ (pow d 2) h)))) (* (pow d 2) (* l (sqrt l))))) (/ (sqrt (/ (pow d 2) h)) (* (pow D 2) (sqrt l)))))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ (fabs d) (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (fabs d))) (* (pow d 2) (* l (sqrt h))))) (/ (fabs d) (* (pow D 2) (sqrt h)))))))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l)))))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 l)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))))) (-.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (neg.f64 (fabs.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
(/.f64 (*.f64 (neg.f64 (fabs.f64 d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (neg.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 (*.f64 l h)))
(fma.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
(+.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (*.f64 #s(literal -2 binary64) d)) (/.f64 h l))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 d h) l) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d h) l)))
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 l h)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 l h)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h))))
(*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))))
(pow.f64 (/.f64 (*.f64 d d) (*.f64 l h)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (*.f64 (neg.f64 h) l)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)))) (neg.f64 (neg.f64 (sqrt.f64 l))))
(/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h))) (neg.f64 (sqrt.f64 l)))
(/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (fabs.f64 d) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(/.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (sqrt.f64 (*.f64 l h))))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 d)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 d) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 d) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 d)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 d)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 d #s(literal 1/2 binary64)) (pow.f64 d #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 d))))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))
(*.f64 (sqrt.f64 (fabs.f64 d)) (sqrt.f64 (fabs.f64 d)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 d))) (sqrt.f64 (neg.f64 (fabs.f64 d))))
(*.f64 (sqrt.f64 d) (sqrt.f64 d))
(*.f64 (pow.f64 (*.f64 d d) #s(literal 1/4 binary64)) (pow.f64 (*.f64 d d) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 d)))
(*.f64 (fabs.f64 d) #s(literal 1 binary64))
(*.f64 (neg.f64 (fabs.f64 d)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 d))
(pow.f64 (neg.f64 d) #s(literal 1 binary64))
(pow.f64 (*.f64 d d) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 1 binary64))
(pow.f64 d #s(literal 1 binary64))
(neg.f64 (neg.f64 (fabs.f64 d)))
(sqrt.f64 (*.f64 d d))
(fabs.f64 (neg.f64 (neg.f64 d)))
(fabs.f64 (neg.f64 d))
(fabs.f64 (fabs.f64 d))
(fabs.f64 d)
(exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))
d
(*.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 h) (sqrt.f64 l))
(*.f64 (sqrt.f64 l) (sqrt.f64 h))
(pow.f64 (*.f64 l h) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 l h))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))
(*.f64 l h)
(*.f64 h l)
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#s(approx (* (* (sqrt (/ l h)) l) (* d d)) (*.f64 (*.f64 d d) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (sqrt (/ l h)) l) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (sqrt (/ l h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l)))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l))
#s(approx (sqrt l) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) (neg.f64 l)))
#s(approx (/ (fabs d) (sqrt (* h l))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (sqrt (* l h)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) (neg.f64 l)))
#s(approx (sqrt (* l h)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) 1/8) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 d d) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (* M M) (fabs d)) (* D D)) (* (* (sqrt (/ l h)) l) (* d d))) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (* (sqrt (/ l h)) l) (* d d)) (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (sqrt (/ l h)) l) (*.f64 (neg.f64 (*.f64 l l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (sqrt (/ l h)) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) (neg.f64 l)))
#s(approx (sqrt l) (*.f64 (neg.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))))
#s(approx (* 1/2 (* M D)) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* M M) (*.f64 M M))
#s(approx (* (* M D) D) (*.f64 (*.f64 D D) M))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (fabs.f64 d) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (sqrt.f64 h) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 h) (*.f64 M M)))) (*.f64 M M)))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx D D)
#s(approx (* D D) (*.f64 D D))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (- 1 (* (/ (* (/ (* 1/2 (* M D)) (+ d d)) (* M D)) (+ d d)) (/ h l))) (*.f64 (*.f64 D D) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (/ (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (sqrt l)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 (fabs.f64 d) h) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 h) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 h) (*.f64 D D)))) (*.f64 D D)))
#s(approx (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l))) (*.f64 (*.f64 D D) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))))

eval80.0ms (0.7%)

Memory
-34.2MiB live, 158.2MiB allocated; 17ms collecting garbage
Compiler

Compiled 10 563 to 3 689 computations (65.1% saved)

prune153.0ms (1.3%)

Memory
18.3MiB live, 265.0MiB allocated; 103ms collecting garbage
Pruning

69 alts after pruning (65 fresh and 4 done)

PrunedKeptTotal
New77420794
Fresh114556
Picked325
Done022
Total78869857
Accuracy
96.7%
Counts
857 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.9%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) d)) #s(literal 1/4 binary64)) (/.f64 h l))) (fabs.f64 d)) (sqrt.f64 h)) (sqrt.f64 l))
41.2%
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l)) (sqrt.f64 h))
39.7%
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
39.3%
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 D M) (/.f64 (*.f64 D (/.f64 M (+.f64 d d))) d))) (/.f64 h l)))) (sqrt.f64 l))
25.4%
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
68.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
75.7%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
24.9%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
25.0%
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 4 binary64) d) d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
24.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 D (*.f64 d d))))) (/.f64 h l))))
29.0%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))))
76.1%
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
18.9%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
5.3%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
18.6%
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
23.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
25.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
0.0%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
16.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
9.6%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
2.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
22.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
6.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
16.3%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
9.6%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
22.1%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
14.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
14.8%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
16.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d) d)) #s(literal 1/8 binary64)))
14.5%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (/.f64 l h)))) #s(literal 1/8 binary64)))
22.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
45.4%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
34.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
14.9%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 l h)) l))) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal 1/8 binary64)))
8.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
23.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
40.7%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
3.0%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
6.2%
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
18.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) h))
26.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
45.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
27.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
31.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
26.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
22.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
12.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
12.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
25.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
38.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
24.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
23.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
27.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
25.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
31.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
33.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
31.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
21.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
8.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
Compiler

Compiled 4 155 to 2 874 computations (30.8% saved)

regimes300.0ms (2.6%)

Memory
-2.1MiB live, 326.3MiB allocated; 19ms collecting garbage
Counts
127 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (sqrt.f64 (/.f64 (*.f64 d (*.f64 l d)) h)) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D D) (pow.f64 (/.f64 M (+.f64 d d)) #s(literal 2 binary64)))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) h)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 l d)) l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal 1/2 binary64)) h) l)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64))) (*.f64 D (/.f64 D (*.f64 d d))))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))) (-.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)))))
Outputs
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Calls

7 calls:

72.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
59.0ms
(*.f64 M D)
34.0ms
D
33.0ms
l
32.0ms
M
Results
AccuracySegmentsBranch
77.7%2(*.f64 M D)
79.0%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
76.1%1d
80.1%2h
80.1%2l
76.1%1M
77.7%2D
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes64.0ms (0.5%)

Memory
19.0MiB live, 71.1MiB allocated; 4ms collecting garbage
Counts
103 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
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(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
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(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) d)) #s(literal 1/4 binary64)) (/.f64 h l))) (fabs.f64 d)) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 D M) (/.f64 (*.f64 D (/.f64 M (+.f64 d d))) d))) (/.f64 h l)))) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))) (sqrt.f64 l))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d)))) h) (*.f64 (+.f64 d d) l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 (/.f64 M (+.f64 d d)) D)) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 4 binary64) d) d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) d)) d) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
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(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
(*.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h)) h))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) l))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M (/.f64 M (*.f64 (*.f64 d d) l)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) M) M))
Outputs
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
Calls

2 calls:

32.0ms
l
25.0ms
h
Results
AccuracySegmentsBranch
79.3%2h
79.3%2l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes117.0ms (1%)

Memory
-0.8MiB live, 91.8MiB allocated; 4ms collecting garbage
Counts
95 → 2
Calls
Call 1
Inputs
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(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (+.f64 d d) d)) #s(literal 1/4 binary64)) (/.f64 h l))) (fabs.f64 d)) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 D M) (/.f64 (*.f64 D (/.f64 M (+.f64 d d))) d))) (/.f64 h l)))) (sqrt.f64 l))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))) (sqrt.f64 l))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d)))) h) (*.f64 (+.f64 d d) l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 (/.f64 M (+.f64 d d)) D)) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)) (+.f64 d d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 #s(literal 4 binary64) d) d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) d)) d) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D (/.f64 M (+.f64 d d)))) (+.f64 d d))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 D (/.f64 M (+.f64 d d))) (*.f64 D (/.f64 M (+.f64 d d))))) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
(/.f64 (/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l)) (sqrt.f64 h))
Calls

3 calls:

47.0ms
h
24.0ms
l
19.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
77.8%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
78.9%2h
78.9%2l
Compiler

Compiled 33 to 32 computations (3% saved)

regimes95.0ms (0.8%)

Memory
-39.3MiB live, 58.8MiB allocated; 30ms collecting garbage
Counts
79 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (/.f64 #s(literal -1/8 binary64) d)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (/.f64 l h)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d) d)) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 l h)) l))) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l))))) (sqrt.f64 l))
Calls

2 calls:

62.0ms
h
28.0ms
l
Results
AccuracySegmentsBranch
76.1%1h
77.8%2l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes71.0ms (0.6%)

Memory
39.4MiB live, 87.3MiB allocated; 4ms collecting garbage
Counts
78 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
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#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (/.f64 #s(literal -1/8 binary64) d)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (/.f64 l h)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d) d)) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 l h)) l))) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) h) (*.f64 (+.f64 d d) l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) D) (/.f64 M (+.f64 d d))) d)) (/.f64 h l))))
(*.f64 (*.f64 (fma.f64 #s(approx (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (*.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 d d))) #s(literal -1/8 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (fabs.f64 d) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/4 binary64))) (/.f64 h (*.f64 (+.f64 d d) l)))) (sqrt.f64 (*.f64 l h))))
Calls

3 calls:

28.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
19.0ms
l
19.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
77.7%2(*.f64 M D)
76.1%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
76.1%1l
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes180.0ms (1.5%)

Memory
-8.0MiB live, 134.2MiB allocated; 9ms collecting garbage
Counts
73 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (/.f64 #s(literal -1/8 binary64) d)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (/.f64 l h)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d) d)) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 l h)) l))) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 #s(literal 4 binary64) (*.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
Calls

7 calls:

46.0ms
(*.f64 M D)
35.0ms
d
26.0ms
M
18.0ms
l
18.0ms
D
Results
AccuracySegmentsBranch
66.4%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
65.4%3d
61.6%3h
64.3%3l
69.6%3M
63.3%2D
70.1%3(*.f64 M D)
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes72.0ms (0.6%)

Memory
-1.5MiB live, 44.5MiB allocated; 3ms collecting garbage
Counts
72 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (/.f64 #s(literal -1/8 binary64) d)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (/.f64 l h)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d) d)) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) (*.f64 d d))) #s(literal 1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (/.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (sqrt.f64 (/.f64 l h)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(approx (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (/.f64 (*.f64 (*.f64 (*.f64 M M) (fabs.f64 d)) (*.f64 D D)) (sqrt.f64 (/.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M (/.f64 (*.f64 M (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 l h)) l))) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal 1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) D) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 h (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 d (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D (*.f64 M M)) (*.f64 (fabs.f64 d) h)) (*.f64 (*.f64 d d) (sqrt.f64 (*.f64 l h)))) (/.f64 D l)) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M (/.f64 M (*.f64 d d))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D (/.f64 D d))) (/.f64 (/.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (*.f64 l h))) (*.f64 l d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (/ (* (* (* (* (* M M) h) (/ (fabs d) (sqrt (* h l)))) D) D) (* (* d d) l)) -1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l))) (*.f64 d d))))) #s(literal 1/8 binary64))))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (sqrt.f64 (/.f64 d l)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) #s(literal -1/8 binary64)))
Calls

2 calls:

50.0ms
(*.f64 M D)
18.0ms
M
Results
AccuracySegmentsBranch
66.9%2M
66.9%2(*.f64 M D)
Compiler

Compiled 4 to 11 computations (-175% saved)

regimes123.0ms (1%)

Memory
-1.0MiB live, 91.2MiB allocated; 6ms collecting garbage
Counts
46 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) l) (sqrt.f64 (/.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (/.f64 h l))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) l) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) (/.f64 #s(literal -1 binary64) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (/ (neg (fabs d)) (sqrt (/ h l))) (*.f64 (neg.f64 l) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h (/.f64 #s(literal 1 binary64) l)))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 d d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d))) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (neg (fabs d)) (* (sqrt (/ h l)) l)) (/.f64 (fabs.f64 d) (*.f64 (neg.f64 h) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) l)))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (/ (neg (fabs d)) (sqrt (/ h l))) l) (/.f64 (fabs.f64 d) (*.f64 (*.f64 (neg.f64 h) l) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 #s(approx (sqrt (/ h l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))))) (sqrt.f64 (/.f64 d h)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 1/2 binary64))) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 d d)) #s(literal 1/2 binary64)))) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
Outputs
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 l h))))))
Calls

7 calls:

50.0ms
D
14.0ms
M
12.0ms
l
12.0ms
h
12.0ms
d
Results
AccuracySegmentsBranch
54.2%4h
51.5%3l
45.5%1D
45.5%1d
49.3%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
49.3%2M
48.4%2(*.f64 M D)
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes6.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
(*.f64 #s(approx (* (+ (* (* (/ (* (* (* M M) D) D) (* 4 (* d d))) -1/2) (/ h l)) 1) (sqrt (/ d l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

1 calls:

5.0ms
h
Results
AccuracySegmentsBranch
51.8%3h
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes20.0ms (0.2%)

Memory
-29.6MiB live, 21.8MiB allocated; 4ms collecting garbage
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
Calls

4 calls:

6.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
4.0ms
h
4.0ms
l
4.0ms
M
Results
AccuracySegmentsBranch
47.5%2M
48.7%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
50.7%3l
50.6%3h
Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes11.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (sqrt.f64 l)))
(/.f64 #s(approx (* (/ (fabs d) (sqrt h)) (- 1 (* (* 1/4 (/ (* (* (* M D) D) (/ M (+ d d))) d)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 h))) (sqrt.f64 l))
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h))) l)))
Outputs
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (fabs.f64 d)) #s(approx (* (sqrt (/ h l)) l) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
Calls

3 calls:

4.0ms
l
4.0ms
h
3.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
48.7%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
49.7%3h
47.8%2l
Compiler

Compiled 33 to 32 computations (3% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
h
1.0ms
l
1.0ms
M
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
45.5%1M
45.5%1l
45.5%1h
45.5%1(*.f64 M D)
45.5%1(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 37 to 43 computations (-16.2% saved)

bsearch16.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-failed
Steps
TimeLeftRight
13.0ms
-5.252276009106526e-299
-2.7979400784622255e-301
Samples
11.0ms101×0invalid
Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div!: 2.0ms (28.2% of total)
ival-mult!: 2.0ms (28.2% of total)
ival-pow: 1.0ms (14.1% of total)
ival-pow2: 1.0ms (14.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-32.0MiB live, 14.3MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-failed
Steps
TimeLeftRight
15.0ms
-5.252276009106526e-299
-2.7979400784622255e-301
Samples
13.0ms101×0invalid
Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub!: 2.0ms (21.4% of total)
ival-div!: 2.0ms (21.4% of total)
ival-mult!: 2.0ms (21.4% of total)
ival-pow: 1.0ms (10.7% of total)
ival-pow2: 1.0ms (10.7% of total)
adjust: 0.0ms (0% of total)

bsearch40.0ms (0.3%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
35.0ms
1.0605003872447761e+75
2.049756182359071e+78
Samples
16.0ms128×0valid
11.0ms101×0invalid
Compiler

Compiled 398 to 390 computations (2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 7.0ms (35.2% of total)
ival-div!: 5.0ms (25.2% of total)
ival-mult!: 5.0ms (25.2% of total)
ival-pow2: 2.0ms (10.1% of total)
ival-sub!: 1.0ms (5% of total)
adjust: 0.0ms (0% of total)

bsearch57.0ms (0.5%)

Memory
-0.8MiB live, 45.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
8.288469464995241e-148
9.831448736001193e-139
Samples
27.0ms144×0valid
15.0ms134×0invalid
Compiler

Compiled 443 to 435 computations (1.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 8.0ms (33.3% of total)
ival-div!: 6.0ms (25% of total)
ival-mult!: 6.0ms (25% of total)
ival-pow2: 3.0ms (12.5% of total)
ival-sub!: 1.0ms (4.2% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.758352776328445e-257
9.585986320531345e-257
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.02108418150211e+144
1.7392738386307714e+145
0.0ms
2.745925065690761e-94
2.7548617192011848e-93
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7615054468775577e+59
1.7043808223951736e+60
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch74.0ms (0.6%)

Memory
-41.0MiB live, 54.8MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
predicate-failed
Steps
TimeLeftRight
22.0ms
3.311550550065411e+237
1.1063510345238182e+238
17.0ms
-2.172052196673402e-305
8.374870068745342e-302
17.0ms
-2.7354417834822665e+121
-1.3278291627615143e+119
Samples
33.0ms278×0invalid
12.0ms96×0valid
Compiler

Compiled 417 to 397 computations (4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 8.0ms (27.4% of total)
ival-div!: 8.0ms (27.4% of total)
ival-mult!: 8.0ms (27.4% of total)
ival-pow2: 4.0ms (13.7% of total)
ival-sub!: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-failed
predicate-failed
Steps
TimeLeftRight
13.0ms
-2.172052196673402e-305
8.374870068745342e-302
13.0ms
-2.7354417834822665e+121
-1.3278291627615143e+119
Samples
21.0ms202×0invalid
Compiler

Compiled 97 to 87 computations (10.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 5.0ms (35.7% of total)
ival-div!: 4.0ms (28.6% of total)
ival-pow: 3.0ms (21.4% of total)
ival-pow2: 2.0ms (14.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch41.0ms (0.3%)

Memory
-17.4MiB live, 28.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-failed
predicate-failed
Steps
TimeLeftRight
24.0ms
-2.7979400784622255e-301
2.3518478845069423e-306
13.0ms
-2.3978203709561307e-123
-3.6063593836699077e-124
Samples
32.0ms202×0invalid
Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 13.0ms (52.4% of total)
ival-mult!: 5.0ms (20.1% of total)
ival-div!: 4.0ms (16.1% of total)
ival-pow2: 2.0ms (8.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-4.50165586054108e-14
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

derivations889.0ms (7.6%)

Memory
27.0MiB live, 356.6MiB allocated; 64ms collecting garbage
Stop Event
fuel
Compiler

Compiled 298 to 173 computations (41.9% saved)

preprocess318.0ms (2.7%)

Memory
14.5MiB live, 349.0MiB allocated; 38ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

(abs d)

Compiler

Compiled 6 173 to 5 023 computations (18.6% saved)

end0.0ms (0%)

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

Profiling

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