Henrywood and Agarwal, Equation (12)

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze557.0ms (5.6%)

Memory
-0.9MiB live, 832.7MiB allocated; 175ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample4.7s (47.2%)

Memory
171.2MiB live, 6 826.1MiB allocated; 1.4s collecting garbage
Samples
2.0s12 841×0invalid
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-div!: 739.0ms (29.4% of total)
ival-pow: 698.0ms (27.7% of total)
ival-mult!: 607.0ms (24.1% of total)
ival-pow2: 399.0ms (15.8% of total)
ival-sub!: 70.0ms (2.8% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

preprocess59.0ms (0.6%)

Memory
-29.5MiB live, 34.6MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0171589
1748556
24245550
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Symmetry

(abs d)

(abs M)

(abs D)

(sort M D)

Compiler

Compiled 62 to 44 computations (29% saved)

series69.0ms (0.7%)

Memory
40.4MiB live, 129.4MiB allocated; 11ms collecting garbage
Counts
22 → 46
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)) #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)) #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 (+ (* -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
8.0ms
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))
7.0ms
M
@-inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms
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
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))

rewrite147.0ms (1.5%)

Memory
10.2MiB live, 196.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151598
02401467
111741405
081191395
Stop Event
iter-limit
node-limit
iter-limit
Counts
68 → 251
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)) #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)) #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 (+ (* -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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))
(*.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 l) (/.f64 d h)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/2 binary64))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l)))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(fabs.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 (sqrt.f64 (/.f64 d h))))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (sqrt.f64 d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))))
(sqrt.f64 (/.f64 d h))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d h))))
(fabs.f64 (sqrt.f64 (/.f64 d h)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) h))
(*.f64 #s(literal 1 binary64) (/.f64 d h))
(*.f64 d (/.f64 #s(literal 1 binary64) h))
(pow.f64 (/.f64 h d) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 h d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 h d))
(/.f64 d (*.f64 h #s(literal 1 binary64)))
(/.f64 d h)
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(*.f64 (sqrt.f64 d) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l))))
(sqrt.f64 (/.f64 d l))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d l))))
(fabs.f64 (sqrt.f64 (/.f64 d l)))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 #s(literal 1 binary64) (/.f64 d l))
(*.f64 d (/.f64 #s(literal 1 binary64) l))
(pow.f64 (/.f64 l d) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l d))
(/.f64 d l)
l
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h)) l)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(literal 3 binary64))))))
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#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (* (* (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) h) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 D D))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)))))

eval25.0ms (0.2%)

Memory
5.0MiB live, 51.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 992 to 1 236 computations (58.7% saved)

prune29.0ms (0.3%)

Memory
-8.1MiB live, 47.3MiB allocated; 7ms collecting garbage
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New20929238
Fresh000
Picked101
Done000
Total21029239
Accuracy
82.4%
Counts
239 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
39.0%
(*.f64 (/.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))))
36.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l))))
35.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 (+.f64 d d) (*.f64 D M)))) (/.f64 h l))))
20.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
13.9%
(*.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 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))))))
23.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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))))
32.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l 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))))
33.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (sqrt.f64 (/.f64 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))))
27.4%
(*.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))))
35.8%
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 h d)) (/.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))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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))))
35.5%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #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))))
32.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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))))
33.2%
(*.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))))
40.8%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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))))
20.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
56.5%
(*.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))))
25.7%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.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))))
11.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d)))) h))
12.5%
#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 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) l) #s(literal -1/8 binary64)) (*.f64 d d))))
11.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 h (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
16.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) h))
10.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) (*.f64 M M)))
8.9%
#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 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
5.6%
#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 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) h)) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
Compiler

Compiled 1 934 to 1 660 computations (14.2% saved)

series180.0ms (1.8%)

Memory
-24.4MiB live, 159.1MiB allocated; 33ms collecting garbage
Counts
44 → 122
Calls
Call 1
Inputs
(*.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))))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 (/.f64 d l) (/.f64 d h))
(/.f64 d l)
d
l
(/.f64 d h)
h
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h)
(sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d)))
(*.f64 (/.f64 d l) (*.f64 h d))
(*.f64 h d)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.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))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)
(sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d)))
(*.f64 (/.f64 d h) (*.f64 l d))
(*.f64 l d)
(*.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 (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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
(neg.f64 l)
Outputs
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))))) (* d l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))))) l)) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (/ d l) (/ d h)) #s(hole binary64 (/ (pow d 2) (* h l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx d #s(hole binary64 d))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (/ d l) (* h d)) #s(hole binary64 (/ (* (pow d 2) h) l)))
#s(approx (* h d) #s(hole binary64 (* d h)))
#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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (/ (* d (sqrt (/ l h))) l)))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* d (sqrt (/ l h)))))
#s(approx (* (/ d h) (* l d)) #s(hole binary64 (/ (* (pow d 2) l) h)))
#s(approx (* l d) #s(hole binary64 (* d l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (neg l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 d)) (sqrt (/ d h)))))) (* l (sqrt (neg l))))) (/ (* (pow d 2) (* (sqrt (* -1 d)) (sqrt (/ d h)))) (sqrt (neg l)))) (pow d 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) #s(hole binary64 (/ (* (sqrt (* -1 d)) (sqrt (/ d h))) (sqrt (neg l)))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (sqrt (* -1 d)) (sqrt (neg l)))))
#s(approx (sqrt (neg d)) #s(hole binary64 (sqrt (* -1 d))))
#s(approx (neg d) #s(hole binary64 (* -1 d)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 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)) #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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (pow d 2) (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d h))))) (sqrt (neg l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 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)) (sqrt (/ 1 (* d h))))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d h)))) (sqrt (neg l)))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (* d (sqrt (/ -1 d))) (sqrt (neg l)))))
#s(approx (sqrt (neg d)) #s(hole binary64 (* d (sqrt (/ -1 d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l))))))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h l))) h))))
#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* -1 (* d (sqrt (/ h 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 (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (* -1 (/ (* d (sqrt (/ l h))) l))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* -1 (* d (sqrt (/ l h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (* -1 (/ (* d (sqrt (/ -1 d))) (sqrt (neg l))))))
#s(approx (sqrt (neg d)) #s(hole binary64 (* -1 (* d (sqrt (/ -1 d))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) h) l)) h)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (sqrt (/ (* (pow d 2) h) l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (* (pow d 2) h) l))))) (* (pow d 2) l)))) h)))
#s(approx h #s(hole binary64 h))
#s(approx (/ h l) #s(hole binary64 (/ h l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (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 (sqrt (* (/ d l) (* h d))) #s(hole binary64 (sqrt (/ (* (pow d 2) h) l))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (* d h))) (* h (sqrt (neg l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (* d h)))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (* d h))) (sqrt (neg l)))) h)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)))))) (* (pow d 2) l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) h)))))
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (sqrt (/ (pow d 2) (* h l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* 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 (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* h (sqrt (/ (pow d 2) (* h l))))))
#s(approx (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) l) h)) l)))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (sqrt (/ (* (pow d 2) l) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (neg l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* h (sqrt (neg l))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (neg l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) (* h l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) (* h 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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* -1 (* h (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* h (sqrt (neg l))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (pow d 2))) (* l (sqrt (/ (* (pow d 2) l) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* 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 l) (* h d))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) l)))
#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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (* -1 l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (sqrt (* -1 l))))) (/ (* l (* (sqrt (neg d)) (sqrt (/ d h)))) (sqrt (* -1 l)))) l)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (* -1 l)))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (sqrt (neg d)) (sqrt (* -1 l)))))
#s(approx (sqrt (neg l)) #s(hole binary64 (sqrt (* -1 l))))
#s(approx (neg l) #s(hole binary64 (* -1 l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (sqrt (/ (pow d 2) (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) (* h 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)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* l (sqrt (/ (pow d 2) (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* l (sqrt (/ -1 l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (/ -1 l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (/ -1 l)))) l)))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (sqrt (neg d)) (* l (sqrt (/ -1 l))))))
#s(approx (sqrt (neg l)) #s(hole binary64 (* l (sqrt (/ -1 l)))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* -1 (* l (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* l (sqrt (/ -1 l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (/ -1 l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (/ -1 l)))) l))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (* -1 (/ (sqrt (neg d)) (* l (sqrt (/ -1 l)))))))
#s(approx (sqrt (neg 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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (neg l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h 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 (* (* (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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* (pow M 2) (sqrt (neg l))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h 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)))))))
#s(approx (* (* (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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* (pow D 2) (sqrt (neg l))))))))
Calls

15 calls:

TimeVariablePointExpression
29.0ms
l
@-inf
((* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (/ d l) d l (/ d h) h (- 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)))) (/ (sqrt (* (/ d l) (* h d))) h) (sqrt (* (/ d l) (* h d))) (* (/ d l) (* h d)) (* h d) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (sqrt (* (/ d h) (* l d))) l) (sqrt (* (/ d h) (* l d))) (* (/ d h) (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
23.0ms
D
@-inf
((* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (/ d l) d l (/ d h) h (- 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)))) (/ (sqrt (* (/ d l) (* h d))) h) (sqrt (* (/ d l) (* h d))) (* (/ d l) (* h d)) (* h d) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (sqrt (* (/ d h) (* l d))) l) (sqrt (* (/ d h) (* l d))) (* (/ d h) (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
16.0ms
d
@0
((* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (/ d l) d l (/ d h) h (- 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)))) (/ (sqrt (* (/ d l) (* h d))) h) (sqrt (* (/ d l) (* h d))) (* (/ d l) (* h d)) (* h d) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (sqrt (* (/ d h) (* l d))) l) (sqrt (* (/ d h) (* l d))) (* (/ d h) (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
9.0ms
d
@-inf
((* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (/ d l) d l (/ d h) h (- 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)))) (/ (sqrt (* (/ d l) (* h d))) h) (sqrt (* (/ d l) (* h d))) (* (/ d l) (* h d)) (* h d) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (sqrt (* (/ d h) (* l d))) l) (sqrt (* (/ d h) (* l d))) (* (/ d h) (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))
8.0ms
h
@-inf
((* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (/ d l) d l (/ d h) h (- 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)))) (/ (sqrt (* (/ d l) (* h d))) h) (sqrt (* (/ d l) (* h d))) (* (/ d l) (* h d)) (* h d) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (sqrt (* (/ d h) (* l d))) l) (sqrt (* (/ d h) (* l d))) (* (/ d h) (* l d)) (* l d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (/ (sqrt (neg d)) (sqrt (neg l))) (sqrt (neg d)) (neg d) (sqrt (neg l)) (neg l))

rewrite203.0ms (2%)

Memory
3.5MiB live, 202.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05344716
06014303
130334163
089194130
Stop Event
iter-limit
node-limit
iter-limit
Counts
166 → 580
Calls
Call 1
Inputs
(*.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))))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
(*.f64 (/.f64 d l) (/.f64 d h))
(/.f64 d l)
d
l
(/.f64 d h)
h
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h)
(sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d)))
(*.f64 (/.f64 d l) (*.f64 h d))
(*.f64 h d)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
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#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)
(sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d)))
(*.f64 (/.f64 d h) (*.f64 l d))
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (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 (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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 l))
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#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))))) l)) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (/ d l) (/ d h)) #s(hole binary64 (/ (pow d 2) (* h l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx d #s(hole binary64 d))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#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)))))
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#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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
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#s(approx (* (/ d l) (* h d)) #s(hole binary64 (/ (* (pow d 2) h) l)))
#s(approx (* h d) #s(hole binary64 (* d h)))
#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))))
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#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* d (sqrt (/ l h)))))
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#s(approx (* l d) #s(hole binary64 (* d l)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 d)) (sqrt (/ d h)))))) (* l (sqrt (neg l))))) (/ (* (pow d 2) (* (sqrt (* -1 d)) (sqrt (/ d h)))) (sqrt (neg l)))) (pow d 2))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) #s(hole binary64 (/ (* (sqrt (* -1 d)) (sqrt (/ d h))) (sqrt (neg l)))))
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#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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (pow d 2) (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d h))))) (sqrt (neg l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 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)) (sqrt (/ 1 (* d h))))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d h)))) (sqrt (neg l)))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (* d (sqrt (/ -1 d))) (sqrt (neg l)))))
#s(approx (sqrt (neg d)) #s(hole binary64 (* d (sqrt (/ -1 d)))))
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#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l))))))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h l))) h))))
#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* -1 (* d (sqrt (/ h 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 (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (* -1 (/ (* d (sqrt (/ l h))) l))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* -1 (* d (sqrt (/ l h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (* -1 (/ (* d (sqrt (/ -1 d))) (sqrt (neg l))))))
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#s(approx h #s(hole binary64 h))
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#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (sqrt (/ (* (pow d 2) h) l))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (/ (sqrt (* (/ d h) (* l d))) l) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (sqrt (* (/ d l) (* h d))) #s(hole binary64 (* -1 (* h (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* h (sqrt (neg l))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (pow d 2))) (* l (sqrt (/ (* (pow d 2) l) h)))) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* 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 l) (* h d))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) l)))
#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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (* -1 l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (sqrt (* -1 l))))) (/ (* l (* (sqrt (neg d)) (sqrt (/ d h)))) (sqrt (* -1 l)))) l)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (* -1 l)))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (sqrt (neg d)) (sqrt (* -1 l)))))
#s(approx (sqrt (neg l)) #s(hole binary64 (sqrt (* -1 l))))
#s(approx (neg l) #s(hole binary64 (* -1 l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (sqrt (/ (pow d 2) (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) (* h 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)))))) (* (pow d 2) l))) (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* l (sqrt (/ (pow d 2) (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* l (sqrt (/ -1 l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (/ -1 l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (/ -1 l)))) l)))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (/ (sqrt (neg d)) (* l (sqrt (/ -1 l))))))
#s(approx (sqrt (neg l)) #s(hole binary64 (* l (sqrt (/ -1 l)))))
#s(approx (sqrt (* (/ d h) (* l d))) #s(hole binary64 (* -1 (* l (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* l (sqrt (/ -1 l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (/ -1 l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (/ -1 l)))) l))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) #s(hole binary64 (* -1 (/ (sqrt (neg d)) (* l (sqrt (/ -1 l)))))))
#s(approx (sqrt (neg 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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h)))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (sqrt (neg l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h 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 (* (* (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))))))
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#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h 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)))))))
#s(approx (* (* (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 (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt (neg d)) (sqrt (neg 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 (neg d)) (sqrt (/ d h))))) (* (pow d 2) (* l (sqrt (neg l)))))) (/ (* (sqrt (neg d)) (sqrt (/ d h))) (* (pow D 2) (sqrt (neg l))))))))
Outputs
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#s(approx (/ (* M D) (* 2 d)) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))
#s(approx (* 2 d) (+.f64 d d))
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#s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) h) l))
#s(approx (* h d) (*.f64 h d))
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#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h)))
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#s(approx (* l d) (*.f64 l d))
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
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#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) d))
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#s(approx h h)
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#s(approx (sqrt (* (/ d h) (* l d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))
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#s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))
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#s(approx l l)
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#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d h)) (/.f64 #s(literal -1 binary64) l)))) l)))
#s(approx (/ (sqrt (neg d)) (sqrt (neg l))) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))
#s(approx (sqrt (neg l)) (*.f64 (neg.f64 l) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 l)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 h l)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 l) (/ d h))) (- 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 h l)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 M M))) (*.f64 M M)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 l)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (neg.f64 l)) (*.f64 M M)))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 D D))) (*.f64 D D)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 l)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (neg.f64 l)) (*.f64 D D)))) (*.f64 D D)))

eval68.0ms (0.7%)

Memory
10.3MiB live, 97.9MiB allocated; 12ms collecting garbage
Compiler

Compiled 8 462 to 2 363 computations (72.1% saved)

prune56.0ms (0.6%)

Memory
-7.7MiB live, 139.2MiB allocated; 17ms collecting garbage
Pruning

52 alts after pruning (51 fresh and 1 done)

PrunedKeptTotal
New62947676
Fresh20424
Picked415
Done000
Total65352705
Accuracy
88.4%
Counts
705 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.5%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
66.3%
(*.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))))
42.9%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
26.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
23.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
21.3%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
19.8%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (/ (sqrt (neg d)) (sqrt (neg l))) (/.f64 (sqrt.f64 (*.f64 l d)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
5.6%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (/ (sqrt (neg d)) (sqrt (neg l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
24.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (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)))
22.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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))))
33.2%
(*.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))))
21.4%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
17.0%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) d)) (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)))
20.4%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
22.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
56.5%
(*.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 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l))))
45.9%
(*.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)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
55.9%
(*.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)) (/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
56.5%
(*.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
55.7%
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
35.5%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
35.2%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
15.6%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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))))
15.0%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
15.1%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) 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))))
47.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.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))))
32.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (*.f64 (sqrt.f64 (/.f64 l h)) 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))))
12.5%
#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 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
25.0%
#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 (*.f64 (/.f64 d l) h) d)) h))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
20.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) h) l))) h))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
28.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
28.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
22.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
14.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))) h))
8.9%
#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 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
17.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
13.4%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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))) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) h))
21.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) l)) #s(literal -1/8 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 d d))) (*.f64 d d)))
33.5%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) l) #s(literal -1/8 binary64))) d))
5.3%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
28.5%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
21.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
1.6%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
12.9%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
19.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))
Compiler

Compiled 3 272 to 3 078 computations (5.9% saved)

series218.0ms (2.2%)

Memory
18.6MiB live, 390.2MiB allocated; 48ms collecting garbage
Counts
54 → 166
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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
(neg.f64 (/.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 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
(/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h)
(sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d)))
(*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))
(*.f64 d (/.f64 #s(literal 1 binary64) l))
(/.f64 #s(literal 1 binary64) l)
(*.f64 h d)
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(/.f64 d h)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(neg.f64 d)
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D))
(*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
(*.f64 D D)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal -1/8 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* d (sqrt (/ h l)))))
#s(approx (* (* d (/ 1 l)) (* h d)) #s(hole binary64 (/ (* (pow d 2) h) l)))
#s(approx (* d (/ 1 l)) #s(hole binary64 (/ d l)))
#s(approx (* h d) #s(hole binary64 (* d h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* d (* l (sqrt (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* l (sqrt (* d l))))) (/ (* (pow d 2) (sqrt (/ d h))) (sqrt (* d l)))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (* d (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 (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ d (sqrt (* d l)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (/ (sqrt (* d l)) d)))
#s(approx (/ l d) #s(hole binary64 (/ l d)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))))) (* d l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))))) l)) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* d l)))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (/ (+ (* -1 (* (pow d 2) (sqrt (/ 1 (* h l))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) l))) d)))
#s(approx (neg d) #s(hole binary64 (* -1 d)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l)))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) l)) (* (pow d 2) (sqrt (/ 1 (* h l))))) (pow d 2))))
#s(approx (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l))))
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l)))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ (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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (sqrt (/ l d)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (sqrt (/ l d))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l)))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l)))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (sqrt (/ 1 (* h l)))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) l))))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h l))) h))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* -1 (* d (sqrt (/ h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d))))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* (pow d 2) 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 (* (* (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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) h) l)) h)))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (sqrt (/ (* (pow d 2) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (* d h)) (* h (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (* d h)) (sqrt (/ l d)))) h)))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (sqrt (/ (* (pow d 2) h) l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (* (pow d 2) h) l))))) (* (pow d 2) l)))) h)))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (/ (+ (* -1 (* d (sqrt (/ h l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ h l))))) (* d l)))) h)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (sqrt (/ h l)) h)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (+ (sqrt (/ h l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ h l))))) (* (pow d 2) l)))) h)))
#s(approx (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ h l)))) (* (pow d 2) l))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (sqrt (/ h l))))))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (sqrt (/ h l)))))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (/ 1 (* h l)) #s(hole binary64 (/ 1 (* 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) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#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) (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) (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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (sqrt (/ (pow d 2) (* h l)))))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* h (sqrt (/ (pow d 2) (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (sqrt (/ d h)) (sqrt (/ l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)))))) (* (pow d 2) l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) h)))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* h (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) h)))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l))))))))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (* h (sqrt (/ 1 (* 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) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* h (sqrt (/ l h))))))
#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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* -1 (* h (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ d h)))) (* (pow d 2) (* l (sqrt (/ l d)))))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) (* h l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) (* h l))))) (* (pow d 2) l))))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* -1 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* d l))) (/ (* d (sqrt (/ 1 (* h l)))) h))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ 1 (* h l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* (pow d 2) 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) (sqrt (* h l))))) (/ (* l (fabs d)) (sqrt (* h 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 (* -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 l) (* h d))) h) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) l)))
#s(approx (/ 1 l) #s(hole binary64 (/ 1 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (sqrt (/ l d))))) (/ (* l (sqrt (/ d h))) (sqrt (/ l d)))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (pow d 2))) (* l (sqrt (/ (* (pow d 2) l) h)))) (pow l 2))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* d (pow l 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (/ (+ (* -1 (* d (* l (sqrt (/ l h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) d))) (pow l 2))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* (pow d 2) (pow l 2))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (pow d 2))) (* l (sqrt (/ l h)))) (pow l 2))))
#s(approx (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* (pow d 2) (pow l 2)))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) l)))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (* (pow M 2) (* h (sqrt (/ l h)))) l)))
#s(approx (sqrt (/ 1 (* h l))) #s(hole binary64 (/ (sqrt (/ l h)) 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 (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 (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* l (sqrt (/ 1 (* d l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (sqrt (/ (pow d 2) (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) (* h l)))))) (* (pow d 2) l))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (+ (* -1 (* d (sqrt (/ 1 (* h l))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* d 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (/ d h))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* 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)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (sqrt (/ l d))))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow M 2) (sqrt (/ l d))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) (pow M 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* (pow M 2) (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) (pow M 2))) (* 1/8 (/ (* (pow D 2) (* h (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) (pow M 2))))))
#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) (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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow D 2) (sqrt (/ l d))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) (pow D 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* (pow D 2) (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) (pow D 2))) (* 1/8 (/ (* (pow M 2) (* h (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) (pow D 2))))))
Calls

15 calls:

TimeVariablePointExpression
36.0ms
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)))) (/ (sqrt (* (/ d l) (* h d))) h) (neg (/ (fabs d) (sqrt (* 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 (/ 1 l)) (* h d))) h) (sqrt (* (* d (/ 1 l)) (* h d))) (* (* d (/ 1 l)) (* h d)) (* d (/ 1 l)) (/ 1 l) (* h d) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ d h) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* (* M M) h) (* M M) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* D D) (* (* d d) l) (* d d) -1/8)
28.0ms
l
@-inf
((* (/ (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)))) (/ (sqrt (* (/ d l) (* h d))) h) (neg (/ (fabs d) (sqrt (* 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 (/ 1 l)) (* h d))) h) (sqrt (* (* d (/ 1 l)) (* h d))) (* (* d (/ 1 l)) (* h d)) (* d (/ 1 l)) (/ 1 l) (* h d) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ d h) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* (* M M) h) (* M M) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* D D) (* (* d d) l) (* d d) -1/8)
27.0ms
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)))) (/ (sqrt (* (/ d l) (* h d))) h) (neg (/ (fabs d) (sqrt (* 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 (/ 1 l)) (* h d))) h) (sqrt (* (* d (/ 1 l)) (* h d))) (* (* d (/ 1 l)) (* h d)) (* d (/ 1 l)) (/ 1 l) (* h d) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ d h) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* (* M M) h) (* M M) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* D D) (* (* d d) l) (* d d) -1/8)
16.0ms
M
@-inf
((* (/ (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)))) (/ (sqrt (* (/ d l) (* h d))) h) (neg (/ (fabs d) (sqrt (* 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 (/ 1 l)) (* h d))) h) (sqrt (* (* d (/ 1 l)) (* h d))) (* (* d (/ 1 l)) (* h d)) (* d (/ 1 l)) (/ 1 l) (* h d) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ d h) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* (* M M) h) (* M M) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* D D) (* (* d d) l) (* d d) -1/8)
13.0ms
d
@-inf
((* (/ (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)))) (/ (sqrt (* (/ d l) (* h d))) h) (neg (/ (fabs d) (sqrt (* 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 (/ 1 l)) (* h d))) h) (sqrt (* (* d (/ 1 l)) (* h d))) (* (* d (/ 1 l)) (* h d)) (* d (/ 1 l)) (/ 1 l) (* h d) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ d h) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* (* M M) h) (* M M) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* D D) (* (* d d) l) (* d d) -1/8)

rewrite199.0ms (2%)

Memory
-13.0MiB live, 317.0MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07217183
07936644
141806463
086056406
Stop Event
iter-limit
node-limit
iter-limit
Counts
220 → 667
Calls
Call 1
Inputs
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(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
d
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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)))
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M
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) h) l)) h)))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (sqrt (/ (* (pow d 2) h) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (* d h)) (* h (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (* d h)) (sqrt (/ l d)))) h)))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (sqrt (/ (* (pow d 2) h) l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (* (pow d 2) h) l))))) (* (pow d 2) l)))) h)))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (/ (+ (* -1 (* d (sqrt (/ h l)))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ h l))))) (* d l)))) h)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (sqrt (/ h l)) h)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (+ (sqrt (/ h l)) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ h l))))) (* (pow d 2) l)))) h)))
#s(approx (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ h l)))) (* (pow d 2) l))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (sqrt (/ h l))))))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (sqrt (/ h l)))))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (/ 1 (* h l)) #s(hole binary64 (/ 1 (* 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) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#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) (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) (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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (sqrt (/ (pow d 2) (* h l)))))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* h (sqrt (/ (pow d 2) (* h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (sqrt (/ d h)) (sqrt (/ l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)))))) (* (pow d 2) l)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) h)))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* h (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) h)))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l))))))))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (* h (sqrt (/ 1 (* 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) (fabs d))) (* (pow d 2) (* l (sqrt (/ l h))))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* h (sqrt (/ l h))))))
#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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (* -1 (* h (sqrt (/ (pow d 2) (* h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ d h)))) (* (pow d 2) (* l (sqrt (/ l d)))))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ (pow d 2) (* h l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ (pow d 2) (* h l))))) (* (pow d 2) l))))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* -1 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* d l))) (/ (* d (sqrt (/ 1 (* h l)))) h))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ 1 (* h l))) h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ 1 (* h l))))) (* (pow d 2) 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) (sqrt (* h l))))) (/ (* l (fabs d)) (sqrt (* h 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 (* -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 l) (* h d))) h) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (sqrt (* (* d (/ 1 l)) (* h d))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) l)))
#s(approx (/ 1 l) #s(hole binary64 (/ 1 l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (sqrt (/ l d))))) (/ (* l (sqrt (/ d h))) (sqrt (/ l d)))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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) l) h))))) (pow d 2))) (* l (sqrt (/ (* (pow d 2) l) h)))) (pow l 2))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* d (pow l 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (/ (+ (* -1 (* d (* l (sqrt (/ l h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) d))) (pow l 2))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* (pow d 2) (pow l 2))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (pow d 2))) (* l (sqrt (/ l h)))) (pow l 2))))
#s(approx (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) (* (pow d 2) (pow l 2)))))
#s(approx (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ l h))))) l)))
#s(approx (* (* (* M M) h) (sqrt (/ 1 (* h l)))) #s(hole binary64 (/ (* (pow M 2) (* h (sqrt (/ l h)))) l)))
#s(approx (sqrt (/ 1 (* h l))) #s(hole binary64 (/ (sqrt (/ l h)) 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 (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 (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* l (sqrt (/ 1 (* d l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (sqrt (/ (pow d 2) (* h l))) (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ (pow d 2) (* h l)))))) (* (pow d 2) l))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (+ (* -1 (* d (sqrt (/ 1 (* h l))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h (sqrt (/ 1 (* h l)))))) (* d 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (/ d h))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* 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)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (sqrt (/ l d))))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow M 2) (sqrt (/ l d))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) (pow M 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* (pow M 2) (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) (pow M 2))) (* 1/8 (/ (* (pow D 2) (* h (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) (pow M 2))))))
#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) (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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow D 2) (sqrt (/ l d))))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l))))) (* (pow d 2) l))) (/ (sqrt (/ (pow d 2) (* h l))) (pow D 2))))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) #s(hole binary64 (* (pow D 2) (+ (* -1 (/ (* d (sqrt (/ 1 (* h l)))) (pow D 2))) (* 1/8 (/ (* (pow M 2) (* h (sqrt (/ 1 (* h l))))) (* d l)))))))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (sqrt (/ 1 (* h l))))) (* (pow d 2) l))) (/ (sqrt (/ 1 (* h l))) (pow D 2))))))
Outputs
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#s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l))
#s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 h l)) l))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 d h)) h)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) (*.f64 l d))))) l))
#s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (sqrt (/ l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l)))
#s(approx (sqrt (* h l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 d h)) h)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) (*.f64 l d))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (sqrt (/ l d)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d)))) #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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (fabs.f64 d) h) (*.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))) (*.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 l) (/ d h))) (- 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 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (/.f64 d h))) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 l d))) #s(literal 1/8 binary64) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))))) (*.f64 M M)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 l h))))) (*.f64 M M)))
#s(approx D D)
#s(approx (* D D) (*.f64 D D))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (fabs.f64 d) h) (*.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))) (*.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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) 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 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 D D)))) (*.f64 D D)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) 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 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))
#s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 l d))) #s(literal 1/8 binary64) (neg.f64 (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))))) (*.f64 D D)))
#s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 D D) (sqrt.f64 (*.f64 l h))))) (*.f64 D D)))

eval110.0ms (1.1%)

Memory
36.1MiB live, 170.9MiB allocated; 16ms collecting garbage
Compiler

Compiled 9 312 to 3 207 computations (65.6% saved)

prune75.0ms (0.7%)

Memory
-11.5MiB live, 176.1MiB allocated; 22ms collecting garbage
Pruning

67 alts after pruning (65 fresh and 2 done)

PrunedKeptTotal
New60752659
Fresh331346
Picked415
Done011
Total64467711
Accuracy
90.2%
Counts
711 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(*.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 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
65.0%
(*.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) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
66.3%
(*.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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
65.2%
(*.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 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
66.3%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
44.1%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
43.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
19.5%
(*.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))))
24.3%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
0.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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))))
33.2%
(*.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))))
20.9%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.1%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
22.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
56.5%
(*.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 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l))))
55.7%
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
32.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (*.f64 (sqrt.f64 (/.f64 l h)) 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))))
33.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
28.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
22.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
14.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))) h))
17.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
34.1%
#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 l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))))
42.9%
#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 l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
0.0%
#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 l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 h l))))))
5.6%
#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 l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))))
6.4%
#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 l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))))
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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
3.4%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
22.9%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))))
21.0%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 h l)) l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
5.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
14.6%
#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 l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))
5.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))))
14.6%
#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 l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
40.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d))) d))
19.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l))
19.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
17.1%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
27.5%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
32.8%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
20.1%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64)))
14.1%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))
9.0%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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)))
42.9%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
1.6%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
12.9%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
23.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
3.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
28.8%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
21.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l)))
3.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
13.0%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
4.6%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
4.5%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal 1/8 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d)))) d)))
6.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
Compiler

Compiled 4 626 to 4 319 computations (6.6% saved)

series156.0ms (1.6%)

Memory
-28.2MiB live, 297.5MiB allocated; 91ms collecting garbage
Counts
53 → 126
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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))
(*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M)))
(/.f64 (+.f64 d d) (*.f64 D M))
(+.f64 d d)
(*.f64 D M)
D
M
(/.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(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))
(*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
#s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))
(/.f64 (sqrt.f64 (*.f64 h d)) h)
(sqrt.f64 (*.f64 h d))
(*.f64 h d)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d))
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64))
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))
(*.f64 D D)
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
#s(literal 1/8 binary64)
(*.f64 d d)
Outputs
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
#s(approx (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))
#s(approx (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) #s(hole binary64 (* 4 (/ (pow d 2) (* (pow D 2) (pow M 2))))))
#s(approx (/ (+ d d) (* D M)) #s(hole binary64 (* 2 (/ d (* D M)))))
#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 l) (* h d))) h) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (* h l))) (* h l))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* (fabs d) (sqrt (* h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* d (* l (sqrt (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* l (sqrt (* d l))))) (/ (* (pow d 2) (sqrt (/ d h))) (sqrt (* d l)))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (* d (sqrt (/ d h))) (sqrt (* d l)))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (sqrt (* h d)) #s(hole binary64 (sqrt (* d h))))
#s(approx (* h d) #s(hole binary64 (* d h)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ d (sqrt (* d l)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (/ (sqrt (* d l)) d)))
#s(approx (/ l d) #s(hole binary64 (/ l d)))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (/ (* d (sqrt (/ h d))) h)))
#s(approx (sqrt (* h d)) #s(hole binary64 (* d (sqrt (/ h d)))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (sqrt (/ l d)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (sqrt (/ l d))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h l))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d))))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h d))) h))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* d (sqrt (/ h d))))))
#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 (* (* (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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) h) l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (* d h)) (* h (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (* d h)) (sqrt (/ l d)))) h)))
#s(approx (* (* (* D D) (/ (* (* M M) h) l)) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))))
#s(approx (* (* D D) (/ (* (* M M) h) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) l)))
#s(approx (/ (* (* M M) h) l) #s(hole binary64 (/ (* (pow M 2) h) l)))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (/ d h)) (sqrt (/ d l))))) (* (pow d 2) l))) (/ (* (sqrt (/ d h)) (sqrt (/ d l))) h)))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (sqrt (/ (pow d 2) (* h l)))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (/ l h))) l)))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* h (* (fabs d) (sqrt (/ l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (sqrt (/ d h)) (sqrt (/ l d)))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* h (sqrt (/ d h)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (* -1 (/ (* (fabs d) (sqrt (/ l h))) l))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* -1 (* h (* (fabs d) (sqrt (/ l h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ d h)))) (* (pow d 2) (* l (sqrt (/ l d)))))))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (* -1 (sqrt (/ d h)))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* h (sqrt (/ d h))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 l) (* h d))) h) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (sqrt (/ l d))))) (/ (* l (sqrt (/ d h))) (sqrt (/ l d)))) l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (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 (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (/ h l))) h)))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* l (* (fabs d) (sqrt (/ h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* l (sqrt (/ 1 (* d l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (* -1 (/ (* (fabs d) (sqrt (/ h l))) h))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* -1 (* l (* (fabs d) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (/ d h))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (sqrt (/ l d))))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow M 2) (sqrt (/ l d))))))))
#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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow D 2) (sqrt (/ l d))))))))
Calls

15 calls:

TimeVariablePointExpression
38.0ms
M
@inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 1 2) 2 (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (+ d d) (* D M) D M (/ 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 l) (* h d))) h) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d l) (* h d))) h) (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (* (sqrt (* l h)) (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (fabs d) (sqrt (* 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 (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d))) (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d)) (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) 1/8 (* d d))
14.0ms
d
@inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 1 2) 2 (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (+ d d) (* D M) D M (/ 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 l) (* h d))) h) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d l) (* h d))) h) (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (* (sqrt (* l h)) (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (fabs d) (sqrt (* 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 (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d))) (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d)) (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) 1/8 (* d d))
12.0ms
h
@-inf
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 1 2) 2 (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (+ d d) (* D M) D M (/ 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 l) (* h d))) h) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d l) (* h d))) h) (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (* (sqrt (* l h)) (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (fabs d) (sqrt (* 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 (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d))) (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d)) (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) 1/8 (* d d))
9.0ms
h
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 1 2) 2 (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (+ d d) (* D M) D M (/ 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 l) (* h d))) h) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d l) (* h d))) h) (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (* (sqrt (* l h)) (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (fabs d) (sqrt (* 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 (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d))) (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d)) (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) 1/8 (* d d))
9.0ms
d
@0
((* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) d (sqrt (* h l)) (* h l) h l (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)) (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 1 2) 2 (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M)))) (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) (/ (+ d d) (* D M)) (+ d d) (* D M) D M (/ 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 l) (* h d))) h) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (* (/ d l) (* h d))) h) (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (* (sqrt (* l h)) (fabs d)) (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (pow (/ d h) (/ 1 2)) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (/ 1 (sqrt (/ l d))) (sqrt (/ l d)) (/ l d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (fabs d) (sqrt (* 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 (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d))) (/ (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* d d)) (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (* (* D D) (/ (* (* M M) h) l)) (* D D) (/ (* (* M M) h) l) (* (* M M) h) (* M M) 1/8 (* d d))

rewrite185.0ms (1.8%)

Memory
15.3MiB live, 288.8MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05425041
06014469
128854372
089164339
Stop Event
iter-limit
node-limit
iter-limit
Counts
179 → 675
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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))
(*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M)))
(/.f64 (+.f64 d d) (*.f64 D M))
(+.f64 d d)
(*.f64 D M)
D
M
(/.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(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))
(*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))))
#s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))
(/.f64 (sqrt.f64 (*.f64 h d)) h)
(sqrt.f64 (*.f64 h d))
(*.f64 h d)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 l d))
(/.f64 l d)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))
(/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d))
(*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64))
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))
(*.f64 D D)
(/.f64 (*.f64 (*.f64 M M) h) l)
(*.f64 (*.f64 M M) h)
(*.f64 M M)
#s(literal 1/8 binary64)
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#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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)))
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#s(approx (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))
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#s(approx (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))) #s(hole binary64 (* 4 (/ (pow d 2) (* (pow D 2) (pow M 2))))))
#s(approx (/ (+ d d) (* D M)) #s(hole binary64 (* 2 (/ d (* D M)))))
#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 l) (* h d))) h) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (* h l))) (* h l))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* (fabs d) (sqrt (* h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* d (* l (sqrt (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* l (sqrt (* d l))))) (/ (* (pow d 2) (sqrt (/ d h))) (sqrt (* d l)))) d)))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (* d (sqrt (/ d h))) (sqrt (* d l)))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (sqrt (* h d)) #s(hole binary64 (sqrt (* d h))))
#s(approx (* h d) #s(hole binary64 (* d h)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ d (sqrt (* d l)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (/ (sqrt (* d l)) d)))
#s(approx (/ l d) #s(hole binary64 (/ l d)))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
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#s(approx (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l))) #s(hole binary64 1))
#s(approx (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d)))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (/ (* d (sqrt (/ h d))) h)))
#s(approx (sqrt (* h d)) #s(hole binary64 (* d (sqrt (/ h d)))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (sqrt (/ l d)))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (sqrt (/ l d))))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h l))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (* d (sqrt (/ 1 (* d h)))) (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* d h)))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ 1 (* d h))) (sqrt (/ l d))))))))
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (* -1 (/ (* d (sqrt (/ h d))) h))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* d (sqrt (/ h d))))))
#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 (* (* (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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) h) l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (* d h)) (* h (sqrt (/ l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (* d h)) (sqrt (/ l d)))) h)))
#s(approx (* (* (* D D) (/ (* (* M M) h) l)) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))))
#s(approx (* (* D D) (/ (* (* M M) h) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) l)))
#s(approx (/ (* (* M M) h) l) #s(hole binary64 (/ (* (pow M 2) h) l)))
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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))))))
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#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (/ l h))) l)))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* h (* (fabs d) (sqrt (/ l h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) #s(hole binary64 (/ (sqrt (/ d h)) (sqrt (/ l d)))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* h (sqrt (/ d h)))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* 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 (/ (sqrt (* (/ d l) (* h d))) h) #s(hole binary64 (* -1 (sqrt (/ (pow d 2) (* h l))))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (* -1 (/ (* (fabs d) (sqrt (/ l h))) l))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* -1 (* h (* (fabs d) (sqrt (/ l h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (/ (sqrt (/ d h)) (* h (sqrt (/ l d))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (sqrt (/ d h)))) (* (pow d 2) (* l (sqrt (/ l d)))))))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (* -1 (sqrt (/ d h)))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* h (sqrt (/ d h))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 l) (* h d))) h) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (sqrt (/ l d))))) (/ (* l (sqrt (/ d h))) (sqrt (/ l d)))) l)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (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 (* l h)) (fabs d)) (* l h)) #s(hole binary64 (/ (* (fabs d) (sqrt (/ h l))) h)))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* l (* (fabs d) (sqrt (/ h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ 1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* l (sqrt (/ 1 (* d l))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) #s(hole binary64 (* -1 (/ (* (fabs d) (sqrt (/ h l))) h))))
#s(approx (* (sqrt (* l h)) (fabs d)) #s(hole binary64 (* -1 (* l (* (fabs d) (sqrt (/ h l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (sqrt (/ d h)) (* l (sqrt (/ 1 (* d l))))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (/ d h))))) (* (pow d 2) (* l (sqrt (/ 1 (* d l))))))) (/ (sqrt (/ d h)) (sqrt (/ 1 (* d l))))) l))))
#s(approx (/ 1 (sqrt (/ l d))) #s(hole binary64 (/ -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (/ l d)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* d l)))))))
#s(approx (* D M) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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))))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (sqrt (/ l d))))))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (/ (fabs d) (sqrt (* h l))) (- 1 (* (* (/ 1 2) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow M 2) (sqrt (/ l d))))))))
#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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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) (/ 1 (* (/ (+ d d) (* D M)) (/ (+ d d) (* D M))))) (/ 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))) (* (pow d 2) (* l (sqrt (/ l d)))))) (/ (sqrt (/ d h)) (* (pow D 2) (sqrt (/ l d))))))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 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 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 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 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (neg.f64 (fabs.f64 d))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (fabs.f64 d)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))) (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 (neg.f64 (fabs.f64 d)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(/.f64 (*.f64 (neg.f64 (fabs.f64 d)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
(/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 l h)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(/.f64 (*.f64 (fabs.f64 d) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (*.f64 l h)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 l d)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 l d))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (/.f64 l d))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)))))))
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#s(approx h h)
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) h) d))) h))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) h) d))) h))
#s(approx (* (* (* D D) (/ (* (* M M) h) l)) 1/8) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h l))) #s(literal 1/8 binary64)))
#s(approx (* (* D D) (/ (* (* M M) h) l)) (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h l))))
#s(approx (/ (* (* M M) h) l) (*.f64 (*.f64 M M) (/.f64 h l)))
#s(approx (* (* M M) h) (*.f64 (*.f64 M M) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.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 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 l h)) h)))
#s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h)) h))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (sqrt.f64 (/.f64 l h)) l)))
#s(approx (* (sqrt (* l h)) (fabs d)) (*.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (/.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 l d)) h))) h))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (sqrt (* h d)) (*.f64 (sqrt.f64 (/.f64 d h)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.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) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
#s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 l h)) h))))
#s(approx (sqrt (* h l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 l h)) h)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h))) h)))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (sqrt.f64 (/.f64 l h)) l))))
#s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (fabs.f64 d) h) (sqrt.f64 (/.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal 1/8 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (sqrt.f64 (/.f64 l d)) h))) h)))
#s(approx (/ (sqrt (* h d)) h) (neg.f64 (sqrt.f64 (/.f64 d h))))
#s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.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))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) h)) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) h)) (*.f64 d d)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)) (*.f64 l l)))
#s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 d h)) h)) (*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fabs.f64 d) l) (sqrt.f64 (*.f64 l h)))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) l))
#s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 h l)) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) h))
#s(approx (* (sqrt (* l h)) (fabs d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 d h)) h)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) (*.f64 l d))))) l))
#s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (sqrt (/ l d)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) l)))
#s(approx (sqrt (* h l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) h)))
#s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 d h)) h)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) (*.f64 l d))))) l)))
#s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (sqrt (/ l d)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* D M) (*.f64 M D))
#s(approx M M)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* M M) (*.f64 M M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (fabs.f64 d) h) (*.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))) (*.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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 M M))) (*.f64 M M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (/.f64 d h))) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 M M)))) (*.f64 M M)))
#s(approx D D)
#s(approx (* D D) (*.f64 D D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (fabs.f64 d) h) (*.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))) (*.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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 D D))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l d)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 l d)) (*.f64 D D)))) (*.f64 D D)))

eval128.0ms (1.3%)

Memory
3.1MiB live, 237.7MiB allocated; 97ms collecting garbage
Compiler

Compiled 9 447 to 3 346 computations (64.6% saved)

prune133.0ms (1.3%)

Memory
-21.6MiB live, 225.3MiB allocated; 54ms collecting garbage
Pruning

78 alts after pruning (73 fresh and 5 done)

PrunedKeptTotal
New66231693
Fresh184260
Picked235
Done022
Total68278760
Accuracy
90.2%
Counts
760 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.4%
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
65.0%
(*.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 M D) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 M D))))) (/.f64 h l))))
65.0%
(*.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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 d d) (*.f64 M D)) (+.f64 d d)) (*.f64 M D)))) (/.f64 h l))))
65.2%
(*.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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 d d) D) M) (/.f64 (/.f64 (+.f64 d d) D) M)))) (/.f64 h l))))
65.2%
(*.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 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
66.3%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
44.1%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
52.0%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h l))) #s(literal 1/8 binary64)) d) d))))
43.6%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M h)) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
19.5%
(*.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))))
33.2%
(*.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
18.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
66.3%
(*.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
20.9%
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.3%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.1%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
14.6%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ l d)) (/.f64 (sqrt.f64 (*.f64 l d)) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
4.5%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) #s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
17.2%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
4.1%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.1%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
22.3%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
56.5%
(*.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 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l))))
55.7%
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
32.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (*.f64 (sqrt.f64 (/.f64 l h)) 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))))
33.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
18.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
23.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
24.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
28.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
22.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
14.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))) h))
17.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
34.1%
#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 l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) (*.f64 l h))))
42.9%
#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 l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
17.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 #s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))) (*.f64 l h))))
35.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.f64 d) (*.f64 l h)))))
0.0%
#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 l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 h l))))))
5.6%
#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 l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))))
6.4%
#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 l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h)))))
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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
3.4%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
22.9%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 l h)) h))))))
21.0%
#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 l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.f64 (sqrt.f64 (/.f64 h l)) l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 h l))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))))))
12.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
5.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
14.6%
#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 l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))
5.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))))
14.6%
#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 l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
20.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (sqrt.f64 (/.f64 l h)) l))))))
19.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) l))
19.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
17.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
3.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
27.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
20.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64)))
14.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))
9.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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)))
28.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
21.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) l)))
13.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
40.7%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d))) d))
32.8%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
42.9%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
12.9%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
23.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
3.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))))
4.6%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
4.5%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal 1/8 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d)))) d)))
6.2%
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
Compiler

Compiled 5 317 to 3 358 computations (36.8% saved)

regimes278.0ms (2.8%)

Memory
3.7MiB live, 384.1MiB allocated; 23ms collecting garbage
Counts
160 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 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 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) 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 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) 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 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.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 (/.f64 (*.f64 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 #s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))) (*.f64 l h))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ l d)) (/.f64 (sqrt.f64 (*.f64 l d)) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) #s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
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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)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 d d) D) M) (/.f64 (/.f64 (+.f64 d d) D) M)))) (/.f64 h l))))
(*.f64 (/.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))))
(*.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)) (/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) l)) #s(literal -1/8 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (*.f64 d d))) (*.f64 d d)))
(*.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (*.f64 (sqrt.f64 (/.f64 l h)) 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 (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))))
(*.f64 (*.f64 (fabs.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 D D) h) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) (*.f64 M M)))
(*.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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
(*.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 (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 D M) (/.f64 #s(literal 1 binary64) (+.f64 d 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 d h) (*.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 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (sqrt (* (/ d h) (* l d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.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(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 h (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d))))) (*.f64 d d)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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 (/.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))) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
(*.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 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))))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 d l))) (sqrt.f64 (sqrt.f64 (/.f64 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))) (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 M (/.f64 D (+.f64 d d))) (/.f64 (+.f64 d d) (*.f64 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)) (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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d))) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 h d)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
(*.f64 (/.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:

40.0ms
(*.f64 M D)
39.0ms
d
39.0ms
l
39.0ms
h
38.0ms
D
Results
AccuracySegmentsBranch
68.2%2(*.f64 M D)
71.7%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))))
69.5%3d
75.8%3h
72.8%2l
68.0%2M
66.3%1D
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes122.0ms (1.2%)

Memory
29.2MiB live, 120.7MiB allocated; 6ms collecting garbage
Counts
129 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l)))))
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(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) 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))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
(*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) l) #s(literal -1/8 binary64))) d))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d))) d))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 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 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 M h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) l) #s(literal 1/8 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 d d)))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) l) #s(literal -1/8 binary64)) (*.f64 d d))))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
(*.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)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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))) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) l))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.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) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 M D) #s(literal 1 binary64)) (*.f64 (+.f64 d d) (/.f64 (+.f64 d d) (*.f64 M D))))) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (fabs.f64 d) (sqrt.f64 (/.f64 l h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 l h)) (fabs.f64 d))) 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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 d d) (*.f64 M D)) (+.f64 d d)) (*.f64 M 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 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) h))
(*.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 (/.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 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (+.f64 d d) D) M) (/.f64 (/.f64 (+.f64 d d) D) M)))) (/.f64 h l))))
Outputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 d d) (*.f64 D M)) (/.f64 (+.f64 d d) (*.f64 D M))))) (/.f64 h l))))
Calls

3 calls:

44.0ms
h
41.0ms
(*.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))))
30.0ms
l
Results
AccuracySegmentsBranch
71.5%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))))
69.1%2l
71.2%3h
Compiler

Compiled 33 to 32 computations (3% saved)

regimes215.0ms (2.1%)

Memory
-1.2MiB live, 240.4MiB allocated; 27ms collecting garbage
Counts
101 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 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)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) h)) (*.f64 (*.f64 l l) (*.f64 d d))) #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) 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))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64))) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
(*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h l))) #s(literal 1/8 binary64)) d) d))))
Calls

7 calls:

39.0ms
(*.f64 M D)
39.0ms
D
31.0ms
l
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))))
25.0ms
d
Results
AccuracySegmentsBranch
58.5%3D
59.5%4d
61.3%2M
60.2%2(*.f64 M D)
61.9%3l
60.0%3h
63.9%4(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes51.0ms (0.5%)

Memory
-24.0MiB live, 69.8MiB allocated; 5ms collecting garbage
Counts
91 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 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 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) 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 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) 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 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.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 (/.f64 (*.f64 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 #s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))) (*.f64 l h))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ l d)) (/.f64 (sqrt.f64 (*.f64 l d)) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) #s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l) (/ d h))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) (*.f64 (*.f64 d 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))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (/ (sqrt (neg d)) (sqrt (neg l))) (/.f64 (sqrt.f64 (*.f64 l d)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.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))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M (*.f64 M h)) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/8 binary64)) (*.f64 d d)))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) h #s(literal 1 binary64))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
Calls

2 calls:

27.0ms
M
17.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
63.0%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))))
62.1%3M
Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes69.0ms (0.7%)

Memory
-3.8MiB live, 92.6MiB allocated; 12ms collecting garbage
Counts
84 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 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 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) 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 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) 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 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.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 (/.f64 (*.f64 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 #s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))) (*.f64 l h))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ l d)) (/.f64 (sqrt.f64 (*.f64 l d)) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) #s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l) (/ d h))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 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 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (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 l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h) (*.f64 M M)) (*.f64 (*.f64 d 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))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (/ (sqrt (neg d)) (sqrt (neg l))) (/.f64 (sqrt.f64 (*.f64 l d)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))))))
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal -1/8 binary64)))
Calls

3 calls:

22.0ms
l
19.0ms
M
18.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
60.2%2(*.f64 M D)
54.5%3l
58.7%2M
Compiler

Compiled 5 to 16 computations (-220% saved)

regimes143.0ms (1.4%)

Memory
24.5MiB live, 211.8MiB allocated; 17ms collecting garbage
Counts
65 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 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 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) 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 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) 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 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 (/.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 l d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)) (*.f64 h d))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 d h) (*.f64 l d))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d)))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.f64 l d))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)) (/.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 (/.f64 (*.f64 d d) (sqrt.f64 (*.f64 h d))) (sqrt.f64 (*.f64 l d))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 #s(approx (* (sqrt (* l h)) (fabs d)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (fabs.f64 d)) l))) (*.f64 l h))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(literal 1 binary64) h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ l d)) (/.f64 (sqrt.f64 (*.f64 l d)) d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d))) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 h d)) h)) #s(approx (/ 1 (sqrt (/ l d))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)) #s(literal 2 binary64))) (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 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (neg d) (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l))))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) D) D) (*.f64 l d)) #s(literal 1/8 binary64))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

7 calls:

30.0ms
M
28.0ms
D
22.0ms
l
16.0ms
d
15.0ms
h
Results
AccuracySegmentsBranch
45.4%2l
42.9%1d
46.2%2D
49.2%3h
48.6%2M
52.3%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
48.6%2(*.f64 M D)
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes9.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
32 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) #s(approx (/ (* (sqrt (* l h)) (fabs d)) (* l h)) (neg.f64 (*.f64 (fabs.f64 d) (/.f64 (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 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(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) #s(approx (sqrt (* h l)) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 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 #s(approx (* (/ d l) (* h d)) (/.f64 (*.f64 (*.f64 d d) 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 (sqrt.f64 (*.f64 (*.f64 (/.f64 d l) 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 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (fabs.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 #s(approx (sqrt (* (/ d l) (* h d))) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) l)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ 1 (sqrt (/ l d)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (sqrt.f64 (/.f64 l d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

7.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
51.7%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 31 to 22 computations (29% saved)

regimes8.0ms (0.1%)

Memory
-37.1MiB live, 10.5MiB allocated; 1ms collecting garbage
Counts
10 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) #s(approx (+ (* (/ (* (* (* (* M M) h) (sqrt (/ 1 (* h l)))) (* D D)) (* (* d d) l)) -1/8) (sqrt (/ 1 (* h l)))) (/.f64 (sqrt.f64 (/.f64 h l)) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d 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)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

3.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
51.0%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 31 to 22 computations (29% saved)

regimes6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
5 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
Outputs
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 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 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

3 calls:

2.0ms
M
2.0ms
(*.f64 M D)
2.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
46.4%2(*.f64 M D)
47.0%2M
50.0%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
4 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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 #s(approx (sqrt (* (/ d l) (* h d))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

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))))
Results
AccuracySegmentsBranch
49.6%3(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 31 to 22 computations (29% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
3 → 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (neg.f64 (/.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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

2 calls:

1.0ms
h
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
42.9%1h
47.2%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 32 to 27 computations (15.6% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB 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)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (sqrt (* (/ d l) (* h d))) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
Calls

5 calls:

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
D
1.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
42.9%1l
42.9%1D
42.9%1(*.f64 M D)
42.9%1M
42.9%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)

bsearch108.0ms (1.1%)

Memory
-16.6MiB live, 120.4MiB allocated; 21ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
83.0ms
1.0566163025056546e-299
9.025500283989192e-290
15.0ms
-8.668528559706596e+235
-2.9014178169948197e+228
Samples
49.0ms288×0invalid
35.0ms160×0valid
Compiler

Compiled 518 to 470 computations (9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-div!: 25.0ms (37.3% of total)
ival-pow2: 19.0ms (28.4% of total)
ival-pow: 12.0ms (17.9% of total)
ival-mult!: 10.0ms (14.9% of total)
ival-sub!: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6120847933093338e+152
1.7156274487496632e+153
0.0ms
0.0
2.568902436359065e-302
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch49.0ms (0.5%)

Memory
9.2MiB live, 53.6MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
3.7780912209378533e-115
4.345029271983458e-114
Samples
12.0ms96×0valid
10.0ms107×0invalid
Compiler

Compiled 446 to 432 computations (3.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 5.0ms (32.8% of total)
ival-pow: 4.0ms (26.3% of total)
ival-div!: 4.0ms (26.3% of total)
ival-pow2: 2.0ms (13.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch94.0ms (0.9%)

Memory
16.3MiB live, 105.6MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
2.5658544320096433e+33
7.045740698058216e+34
40.0ms
2.6204076373425644e-102
3.1631397486843383e-101
Samples
32.0ms192×0invalid
26.0ms208×0valid
Compiler

Compiled 909 to 909 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult!: 9.0ms (29.8% of total)
ival-pow: 8.0ms (26.5% of total)
ival-div!: 8.0ms (26.5% of total)
ival-pow2: 4.0ms (13.2% of total)
ival-sub!: 1.0ms (3.3% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.651920937840915e+59
8.2491393186829e+66
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6120847933093338e+152
1.7156274487496632e+153
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.064048342515774e+125
5.870521808255633e+129
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.201135269391965e+115
9.515702345338287e+117
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.201135269391965e+115
9.515702345338287e+117
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.201135269391965e+115
9.515702345338287e+117
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

derivations1.2s (11.8%)

Memory
-125.8MiB live, 683.6MiB allocated; 1.2s collecting garbage
Stop Event
fuel
Compiler

Compiled 317 to 173 computations (45.4% saved)

preprocess341.0ms (3.4%)

Memory
37.0MiB live, 692.9MiB allocated; 158ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

(abs d)

Compiler

Compiled 8 716 to 6 519 computations (25.2% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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