Henrywood and Agarwal, Equation (12)

Time bar (total: 12.1s)

start0.0ms (0%)

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

analyze512.0ms (4.2%)

Memory
-14.5MiB live, 750.1MiB allocated; 181ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.4s (44.9%)

Memory
86.2MiB live, 6 414.3MiB allocated; 2.3s collecting garbage
Samples
2.6s12 841×0invalid
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-div!: 1.2s (38.9% of total)
ival-pow: 818.0ms (26.3% of total)
ival-mult!: 669.0ms (21.5% of total)
ival-pow2: 354.0ms (11.4% of total)
ival-sub!: 54.0ms (1.7% of total)
adjust: 5.0ms (0.2% of total)
Bogosity

preprocess57.0ms (0.5%)

Memory
4.7MiB live, 50.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0171589
1635561
23473550
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)

series103.0ms (0.9%)

Memory
-17.5MiB live, 85.4MiB allocated; 14ms 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
36.0ms
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))
12.0ms
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))
7.0ms
d
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms
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))
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))

rewrite232.0ms (1.9%)

Memory
14.2MiB live, 201.8MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151598
02401471
19451418
072631378
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
68 → 237
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
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(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))
(/.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(fma.f64 (/.f64 (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 d h))) d) (/.f64 (sqrt.f64 (/.f64 d l)) d) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 (*.f64 d d) d) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d) (/.f64 (*.f64 d d) d) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (/.f64 d l)) (*.f64 d d)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (*.f64 d d) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 d d)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(+.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(*.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 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d h))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 d)) (sqrt.f64 h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d h))) (sqrt.f64 l))
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d l))) (sqrt.f64 h))
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l)))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(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 (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 (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 (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))
(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 (neg.f64 d)) (neg.f64 (neg.f64 h)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 d h)
(neg.f64 (/.f64 d (neg.f64 h)))
(neg.f64 (/.f64 (neg.f64 d) h))
d
h
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(*.f64 (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 (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 (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))
(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 (neg.f64 d)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 d l)
(neg.f64 (/.f64 d (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 d) l))
l
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))))
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (*.f64 D (/.f64 D (*.f64 d d)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l)) (*.f64 l l)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l))
#s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 l d)) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.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 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) M) M))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 D D)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 D D))) D) D))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 D D))) D) D))

eval23.0ms (0.2%)

Memory
-5.2MiB live, 41.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 957 to 1 116 computations (62.3% saved)

prune42.0ms (0.4%)

Memory
-1.3MiB live, 45.8MiB allocated; 2ms collecting garbage
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New19427221
Fresh000
Picked101
Done000
Total19527222
Accuracy
83.8%
Counts
222 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.0%
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
30.1%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
24.7%
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
35.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
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))))
24.8%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
33.2%
(*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (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))))
9.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
20.2%
(*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 D D))) D) D)))
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))))
2.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (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))))
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))))
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))))
2.3%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 h d))) 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))))
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))))
21.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h)) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
25.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 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 h d) (/.f64 d l))) h))
19.1%
#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 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M)) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)) h))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) 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)))
11.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) M) M))
9.6%
#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 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
5.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
Compiler

Compiled 1 764 to 1 550 computations (12.1% saved)

series315.0ms (2.6%)

Memory
30.1MiB live, 495.2MiB allocated; 82ms collecting garbage
Counts
54 → 175
Calls
Call 1
Inputs
(*.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))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
(/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h)
(sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))
(*.f64 (*.f64 h d) (/.f64 d l))
(*.f64 h d)
(/.f64 d l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D)
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M)
(*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M)
(*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h)
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(*.f64 (sqrt.f64 l) (sqrt.f64 h))
(sqrt.f64 l)
(sqrt.f64 h)
(*.f64 (*.f64 d d) l)
#s(literal -1/8 binary64)
(*.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 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d l))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
(*.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 (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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(sqrt.f64 (neg.f64 d))
(neg.f64 d)
(sqrt.f64 (neg.f64 h))
(neg.f64 h)
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (* (sqrt (/ (* d d) (* 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 (sqrt (/ 1 (* h l)))))) (* d l)))))
#s(approx (* (sqrt (/ (* d d) (* 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 (sqrt (/ 1 (* h l)))))) l)) (* (pow d 2) (sqrt (/ 1 (* h l))))) d)))
#s(approx (sqrt (/ (* d d) (* h l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#s(approx (/ (* d d) (* h l)) #s(hole binary64 (/ (pow d 2) (* h l))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#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)))))
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#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (* d l))) (* l (sqrt (neg h))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) #s(hole binary64 (/ (* (pow M 2) (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (* (/ d (* (sqrt l) (sqrt h))) h) M) #s(hole binary64 (/ (* M (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (/ d (* (sqrt l) (sqrt h))) h) #s(hole binary64 (/ (* d h) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* l (* (sqrt h) (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg h)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg h))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ d (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) #s(hole binary64 (* -1 (/ (* (pow M 2) (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (* (/ d (* (sqrt l) (sqrt h))) h) M) #s(hole binary64 (* -1 (/ (* M (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (/ d (* (sqrt l) (sqrt h))) h) #s(hole binary64 (* -1 (/ (* d h) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (sqrt (/ (* d d) (* 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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow M 2) (sqrt (neg h))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ (* d d) (* 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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow D 2) (sqrt (neg h))))))))
Calls

15 calls:

TimeVariablePointExpression
62.0ms
h
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) d (* 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 (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* d d) l) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (sqrt (/ d h)) (/ d h) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (neg d) (sqrt (neg h)) (neg h) (pow (/ d l) (/ 1 2)))
38.0ms
h
@0
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) d (* 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 (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* d d) l) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (sqrt (/ d h)) (/ d h) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (neg d) (sqrt (neg h)) (neg h) (pow (/ d l) (/ 1 2)))
32.0ms
d
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) d (* 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 (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* d d) l) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (sqrt (/ d h)) (/ d h) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (neg d) (sqrt (neg h)) (neg h) (pow (/ d l) (/ 1 2)))
29.0ms
l
@inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) d (* 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 (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* d d) l) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (sqrt (/ d h)) (/ d h) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (neg d) (sqrt (neg h)) (neg h) (pow (/ d l) (/ 1 2)))
24.0ms
d
@0
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) d (* 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 (* (* h d) (/ d l))) h) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (* (/ d (* (sqrt l) (sqrt h))) h) (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* d d) l) -1/8 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (sqrt (/ d h)) (/ d h) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (neg d)) (neg d) (sqrt (neg h)) (neg h) (pow (/ d l) (/ 1 2)))

rewrite305.0ms (2.5%)

Memory
0.8MiB live, 426.8MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06986760
07806185
130326028
083945987
Stop Event
iter-limit
node-limit
iter-limit
Counts
229 → 594
Calls
Call 1
Inputs
(*.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))))
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
d
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d))
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
(/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h)
(sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))
(*.f64 (*.f64 h d) (/.f64 d l))
(*.f64 h d)
(/.f64 d l)
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#s(approx (sqrt h) #s(hole binary64 (* -1 (* h (sqrt (/ 1 h))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (/ -1 h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* h (sqrt (/ -1 h))))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (/ -1 h)))))))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* h (sqrt (/ -1 h)))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) #s(hole binary64 (* -1 (/ (sqrt (neg d)) (* h (sqrt (/ -1 h)))))))
#s(approx (sqrt (neg h)) #s(hole binary64 (* -1 (* h (sqrt (/ -1 h))))))
#s(approx (* (sqrt (/ (* d d) (* 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 (sqrt (/ (* (pow d 2) l) h))))) (* (pow d 2) (pow l 2))))))
#s(approx (* (sqrt (/ (* d d) (* 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 (sqrt (/ (* (pow d 2) l) h))))) (pow d 2))) (* l (sqrt (/ (* (pow d 2) l) h)))) (pow l 2))))
#s(approx (sqrt (/ (* d d) (* h l))) #s(hole binary64 (/ (sqrt (/ (* (pow d 2) l) h)) 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 (* (* h d) (/ d l))) h) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) (* h l))))
#s(approx (sqrt (* (* h d) (/ d l))) #s(hole binary64 (/ (sqrt (* (pow d 2) (* h l))) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* (sqrt h) (sqrt l))))) (/ (* d l) (* (sqrt h) (sqrt l)))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (* d l)))))) (* (pow d 2) (* (pow l 2) (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (* d l)))))) (* (pow d 2) (sqrt (neg h))))) (/ (* l (* (sqrt (neg d)) (sqrt (* d l)))) (sqrt (neg h)))) (pow l 2))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (* d l))) (* l (sqrt (neg h))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) #s(hole binary64 (/ (* (pow M 2) (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (* (/ d (* (sqrt l) (sqrt h))) h) M) #s(hole binary64 (/ (* M (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (/ d (* (sqrt l) (sqrt h))) h) #s(hole binary64 (/ (* d h) (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* l (* (sqrt h) (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg h)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg h))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ d (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) #s(hole binary64 (* -1 (/ (* (pow M 2) (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (* (/ d (* (sqrt l) (sqrt h))) h) M) #s(hole binary64 (* -1 (/ (* M (* d h)) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (/ d (* (sqrt l) (sqrt h))) h) #s(hole binary64 (* -1 (/ (* d h) (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* (sqrt (/ (* d d) (* 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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow M 2) (sqrt (neg h))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* (sqrt (/ (* d d) (* 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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow D 2) (sqrt (neg h))))))))
Outputs
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(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d 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))))
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#s(approx (* (sqrt l) (sqrt h)) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))
#s(approx (sqrt l) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) #s(literal 1/8 binary64)))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (neg.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))))
#s(approx (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) d) h) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (/ d (* (sqrt l) (sqrt h))) h) M) (neg.f64 (/.f64 (*.f64 (*.f64 h d) M) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (/ d (* (sqrt l) (sqrt h))) h) (neg.f64 (/.f64 (*.f64 h d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l)))
#s(approx (sqrt l) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l)))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.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 (- 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)) (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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) l) (*.f64 d d)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 M M))) (*.f64 M M)))
#s(approx D D)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.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 (- 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)) (pow (/ d l) (/ 1 2))) (- 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))) h) (*.f64 M M)) (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 h)) l) (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 D D))) (*.f64 D D)))

eval97.0ms (0.8%)

Memory
15.4MiB live, 248.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 9 581 to 2 734 computations (71.5% saved)

prune128.0ms (1.1%)

Memory
-70.1MiB live, 213.2MiB allocated; 117ms collecting garbage
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New57545620
Fresh17522
Picked415
Done000
Total59651647
Accuracy
92.3%
Counts
647 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
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))))
24.8%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
33.2%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (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))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(approx (sqrt (neg h)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
32.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
33.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.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))))
20.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.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))))
12.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.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))))))
22.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
34.3%
(*.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)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
40.3%
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
25.9%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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))))
26.4%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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))))
26.3%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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)))))
13.1%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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))))
23.1%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
66.3%
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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))))
26.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.7%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
31.7%
#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 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
21.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) l)) #s(literal -1/8 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 d d))) (*.f64 d 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 h d) (/.f64 d l))) h))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h (*.f64 d (/.f64 d l)))) 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 (* (* h d) (/ d l)) (/.f64 (*.f64 (*.f64 d d) h) 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)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
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)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 h d) (/.f64 d l))) #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 (* (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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 (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) 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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
27.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) 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)))
28.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
11.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) M) M))
9.6%
#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 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
21.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.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)))
1.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))
12.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 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 (* (* h d) (/ d l))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))))
26.4%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
26.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
47.4%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
40.2%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
25.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))))
15.7%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
Compiler

Compiled 3 836 to 3 484 computations (9.2% saved)

series167.0ms (1.4%)

Memory
22.8MiB live, 260.1MiB allocated; 18ms collecting garbage
Counts
61 → 166
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
l
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 (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)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h)
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d)))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(sqrt.f64 (*.f64 h d))
(*.f64 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
(*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D)
(*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))))
(/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))
(*.f64 M M)
(*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))
(*.f64 l d)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))
(*.f64 (/.f64 #s(literal 1 binary64) h) l)
(/.f64 #s(literal 1 binary64) h)
#s(literal -1/8 binary64)
(/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))
(*.f64 (sqrt.f64 l) (sqrt.f64 h))
(sqrt.f64 l)
(sqrt.f64 h)
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
#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 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 #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 #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 D D) (/.f64 h (*.f64 (*.f64 d d) l)))
(*.f64 D D)
(/.f64 h (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal 1/8 binary64)
Outputs
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (* l h))) #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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (* (sqrt (* d h)) (sqrt (/ d l)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (sqrt (* h d)) #s(hole binary64 (sqrt (* d h))))
#s(approx (* h d) #s(hole binary64 (* d h)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* l (* (sqrt h) (sqrt l))))) (/ (pow d 2) (* (sqrt h) (sqrt l)))) d)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt l))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (pow M 2) (* d (* l (sqrt (/ l h)))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* d (* l (sqrt (/ l h))))))
#s(approx (* l d) #s(hole binary64 (* d l)))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (/ d (* (sqrt h) (sqrt l)))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (- (/ (pow d 2) (pow M 2)) (* 1/8 (/ (* (pow D 2) h) l))) (pow d 2))))
#s(approx (* (* (* D D) (/ h (* (* d d) l))) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
#s(approx (* (* D D) (/ h (* (* d d) l))) #s(hole binary64 (/ (* (pow D 2) h) (* (pow d 2) l))))
#s(approx (/ h (* (* d d) l)) #s(hole binary64 (/ h (* (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 (* l h))) (- 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 (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (pow d 2) (* (sqrt (/ 1 (* d l))) (sqrt (/ h d)))) h)))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d l))) (sqrt (/ h d))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* d (sqrt (/ h d)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ 1 (* (sqrt h) (sqrt l)))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ 1 (pow M 2))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* d (sqrt (/ h d))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (* d (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ 1 (* (sqrt h) (sqrt l))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l))))
#s(approx (* l h) #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 (/ (+ (* -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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (sqrt h) (sqrt l))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l)))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (/ (* d (* l (sqrt (* h l)))) h)))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (/ (sqrt (* h l)) h)))
#s(approx (* (/ 1 h) l) #s(hole binary64 (/ l h)))
#s(approx (/ 1 h) #s(hole binary64 (/ 1 h)))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* (sqrt h) (sqrt l))))
#s(approx (sqrt h) #s(hole binary64 (sqrt h)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (* l h))) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ l h))))))
#s(approx (sqrt (* l h)) #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)) (sqrt (* h d))) #s(hole binary64 (* h (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* h (sqrt (/ d h)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))) (/ d (* h (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (sqrt (/ l h))))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (/ d (* h (* (sqrt l) (sqrt (/ 1 h)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* h (* (sqrt l) (sqrt (/ 1 h))))))
#s(approx (sqrt h) #s(hole binary64 (* h (sqrt (/ 1 h)))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* h (- (/ 1 (* (pow M 2) h)) (* 1/8 (/ (pow D 2) (* (pow d 2) l)))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (/ (fabs d) (sqrt (* l h))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* h (sqrt (/ 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 (* 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)) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (* -1 (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* h (sqrt (/ d h))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1 (/ d (* h (* (sqrt l) (sqrt (/ 1 h)))))) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (* -1 (/ d (* h (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* h (* (sqrt l) (sqrt (/ 1 h)))))))
#s(approx (sqrt h) #s(hole binary64 (* -1 (* h (sqrt (/ 1 h))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (* d l))) (* h l))))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (* d l))) l)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* (sqrt h) (sqrt l))))) (/ (* d l) (* (sqrt h) (sqrt l)))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2)))) l)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (* l h)) #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 (+ (* -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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (pow M 2) (* d (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* d (* (pow l 2) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (* l (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* l (* (sqrt h) (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ d (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (* -1 (/ (pow M 2) (* d (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* -1 (* d (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* (pow D 2) (- (/ 1 (* (pow D 2) (pow M 2))) (* 1/8 (/ h (* (pow d 2) l)))))))
Calls

15 calls:

TimeVariablePointExpression
16.0ms
d
@inf
((* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (fabs d) d (sqrt (* l h)) (* l h) l 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)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt (/ d l)) (/ d l) (sqrt (* 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)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (* M M) (* (* l d) (sqrt (* (/ 1 h) l))) (* l d) (sqrt (* (/ 1 h) l)) (* (/ 1 h) l) (/ 1 h) -1/8 (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) 1/8)
14.0ms
l
@-inf
((* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (fabs d) d (sqrt (* l h)) (* l h) l 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)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt (/ d l)) (/ d l) (sqrt (* 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)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (* M M) (* (* l d) (sqrt (* (/ 1 h) l))) (* l d) (sqrt (* (/ 1 h) l)) (* (/ 1 h) l) (/ 1 h) -1/8 (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) 1/8)
13.0ms
h
@-inf
((* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (fabs d) d (sqrt (* l h)) (* l h) l 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)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt (/ d l)) (/ d l) (sqrt (* 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)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (* M M) (* (* l d) (sqrt (* (/ 1 h) l))) (* l d) (sqrt (* (/ 1 h) l)) (* (/ 1 h) l) (/ 1 h) -1/8 (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) 1/8)
13.0ms
d
@-inf
((* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (fabs d) d (sqrt (* l h)) (* l h) l 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)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt (/ d l)) (/ d l) (sqrt (* 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)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (* M M) (* (* l d) (sqrt (* (/ 1 h) l))) (* l d) (sqrt (* (/ 1 h) l)) (* (/ 1 h) l) (/ 1 h) -1/8 (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) 1/8)
12.0ms
M
@inf
((* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (fabs d) d (sqrt (* l h)) (* l h) l 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)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt (/ d l)) (/ d l) (sqrt (* 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)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (* M M) (* (* l d) (sqrt (* (/ 1 h) l))) (* l d) (sqrt (* (/ 1 h) l)) (* (/ 1 h) l) (/ 1 h) -1/8 (/ d (* (sqrt l) (sqrt h))) (* (sqrt l) (sqrt h)) (sqrt l) (sqrt h) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) 1/8)

rewrite165.0ms (1.4%)

Memory
16.3MiB live, 201.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06326092
07095701
126285606
081565528
Stop Event
iter-limit
node-limit
iter-limit
Counts
227 → 530
Calls
Call 1
Inputs
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(fabs.f64 d)
d
(sqrt.f64 (*.f64 l h))
(*.f64 l h)
l
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 (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)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h)
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d)))
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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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
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(*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D)
(*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))))
(/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))
(*.f64 M M)
(*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))
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(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (/.f64 d h))
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#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 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 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64)))
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(*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal 1/8 binary64))
(*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))
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(/.f64 h (*.f64 (*.f64 d d) l))
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(*.f64 d d)
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#s(approx (/ (fabs d) (sqrt (* l h))) #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))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))) (* (pow d 2) l)))))
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#s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
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#s(approx (/ d l) #s(hole binary64 (/ d l)))
#s(approx (sqrt (* h d)) #s(hole binary64 (sqrt (* d h))))
#s(approx (* h d) #s(hole binary64 (* d h)))
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#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (pow M 2) (* d (* l (sqrt (/ l h)))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* d (* l (sqrt (/ l h))))))
#s(approx (* l d) #s(hole binary64 (* d l)))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (/ d (* (sqrt h) (sqrt l)))))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (sqrt (/ d h)) (sqrt (/ d l)))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h))))
#s(approx (/ d h) #s(hole binary64 (/ d h)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (- (/ (pow d 2) (pow M 2)) (* 1/8 (/ (* (pow D 2) h) l))) (pow d 2))))
#s(approx (* (* (* D D) (/ h (* (* d d) l))) 1/8) #s(hole binary64 (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))
#s(approx (* (* D D) (/ h (* (* d d) l))) #s(hole binary64 (/ (* (pow D 2) h) (* (pow d 2) l))))
#s(approx (/ h (* (* d d) l)) #s(hole binary64 (/ h (* (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 (* l h))) (- 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 (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (pow d 2) (* (sqrt (/ 1 (* d l))) (sqrt (/ h d)))) h)))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d l))) (sqrt (/ h d))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* d (sqrt (/ h d)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ 1 (* (sqrt h) (sqrt l)))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* d (sqrt (/ 1 (* d h))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ 1 (pow M 2))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d l)))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* d (sqrt (/ h d))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (* d (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ 1 (* (sqrt h) (sqrt l))))))))
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d h)))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l))))
#s(approx (* l h) #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 (/ (+ (* -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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (sqrt h) (sqrt l))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l)))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (/ (* d (* l (sqrt (* h l)))) h)))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (/ (sqrt (* h l)) h)))
#s(approx (* (/ 1 h) l) #s(hole binary64 (/ l h)))
#s(approx (/ 1 h) #s(hole binary64 (/ 1 h)))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* (sqrt h) (sqrt l))))
#s(approx (sqrt h) #s(hole binary64 (sqrt h)))
#s(approx (sqrt (/ d h)) #s(hole binary64 (/ (sqrt (* d h)) h)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (* l h))) #s(hole binary64 (/ (fabs d) (* h (sqrt (/ l h))))))
#s(approx (sqrt (* l h)) #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)) (sqrt (* h d))) #s(hole binary64 (* h (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* h (sqrt (/ d h)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))) (/ d (* h (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (sqrt (/ l h))))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (/ d (* h (* (sqrt l) (sqrt (/ 1 h)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* h (* (sqrt l) (sqrt (/ 1 h))))))
#s(approx (sqrt h) #s(hole binary64 (* h (sqrt (/ 1 h)))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* h (- (/ 1 (* (pow M 2) h)) (* 1/8 (/ (pow D 2) (* (pow d 2) l)))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (/ (fabs d) (sqrt (* l h))) #s(hole binary64 (* -1 (/ (fabs d) (* h (sqrt (/ l h)))))))
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* h (sqrt (/ 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 (* 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)) (sqrt (* h d))) h) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (sqrt (/ d l))))))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (* -1 (* h (* (sqrt (/ d h)) (sqrt (/ d l)))))))
#s(approx (sqrt (* h d)) #s(hole binary64 (* -1 (* h (sqrt (/ d h))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (+ (* -1 (/ d (* h (* (sqrt l) (sqrt (/ 1 h)))))) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h))))))))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (pow M 2)) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (pow M 2) (* d (* l (* (sqrt l) (sqrt (/ 1 h)))))))))
#s(approx (/ d (* (sqrt l) (sqrt h))) #s(hole binary64 (* -1 (/ d (* h (* (sqrt l) (sqrt (/ 1 h))))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* h (* (sqrt l) (sqrt (/ 1 h)))))))
#s(approx (sqrt h) #s(hole binary64 (* -1 (* h (sqrt (/ 1 h))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (* d l))) (* h l))))
#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (* d l))) l)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* (sqrt h) (sqrt l))))) (/ (* d l) (* (sqrt h) (sqrt l)))) l)))
#s(approx (sqrt l) #s(hole binary64 (sqrt l)))
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (/ (* (sqrt (* d l)) (sqrt (/ d h))) l)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2)))) l)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (* l h)) #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 (+ (* -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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* -1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (/ (pow M 2) (* d (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* d (* (pow l 2) (sqrt (/ 1 (* h l)))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (* l (sqrt (/ 1 (* h l))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* l (* (sqrt h) (sqrt (/ 1 l))))))
#s(approx (sqrt l) #s(hole binary64 (* l (sqrt (/ 1 l)))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ d (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) #s(hole binary64 (* 1/8 (/ (* D (* (pow M 2) h)) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) #s(hole binary64 (* 1/8 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) #s(hole binary64 (* -1 (/ (* (pow M 2) h) (* d (* (pow l 2) (* (sqrt h) (sqrt (/ 1 l)))))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) #s(hole binary64 (* -1 (/ (pow M 2) (* d (* (pow l 2) (sqrt (/ 1 (* h l)))))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) #s(hole binary64 (* -1 (* d (* (pow l 2) (sqrt (/ 1 (* h l))))))))
#s(approx (sqrt (* (/ 1 h) l)) #s(hole binary64 (* -1 (* l (sqrt (/ 1 (* h l)))))))
#s(approx (* (sqrt l) (sqrt h)) #s(hole binary64 (* -1 (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (sqrt l) #s(hole binary64 (* -1 (* l (sqrt (/ 1 l))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2))))))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) #s(hole binary64 (* (pow D 2) (- (/ 1 (* (pow D 2) (pow M 2))) (* 1/8 (/ h (* (pow d 2) l)))))))
Outputs
(*.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))))
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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 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))
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#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))))
#s(approx (sqrt (/ d l)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (sqrt (* h d)) (sqrt.f64 (*.f64 h d)))
#s(approx (* h d) (*.f64 h d))
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#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64)))
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#s(approx (* l d) (*.f64 l d))
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#s(approx (/ (fabs d) (sqrt (* l h))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))
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#s(approx (/ h (* (* d d) l)) (/.f64 h (*.f64 (*.f64 d d) l)))
#s(approx (* (* d d) l) (*.f64 (*.f64 d d) l))
#s(approx (* d d) (*.f64 d d))
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#s(approx (sqrt (* h d)) (*.f64 (sqrt.f64 (/.f64 h d)) d))
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#s(approx (sqrt (/ d h)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h d))) d))
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#s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)))
#s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))
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#s(approx (sqrt (/ d h)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h d))) d)))
#s(approx (* (sqrt l) (sqrt h)) (sqrt.f64 (*.f64 h l)))
#s(approx (* l h) (*.f64 h l))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
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#s(approx (* (/ 1 h) l) (/.f64 l h))
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#s(approx (* (sqrt (/ d l)) (sqrt (* h d))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))
#s(approx (sqrt (* h d)) (*.f64 (sqrt.f64 (/.f64 d h)) h))
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#s(approx (sqrt (* (/ 1 h) l)) (sqrt.f64 (/.f64 l h)))
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#s(approx l l)
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#s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (*.f64 h d))) (*.f64 h l)))
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#s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 l d)) l))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 h l)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) l))
#s(approx (sqrt l) (sqrt.f64 l))
#s(approx (/ (fabs d) (sqrt (* l h))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (*.f64 l d))) l))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal -1/8 binary64) l) l))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 d d))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (/.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 h l)))) l))
#s(approx (* (sqrt l) (sqrt h)) (*.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)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) #s(literal -1/8 binary64)))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (/.f64 (*.f64 M M) (*.f64 (*.f64 d (*.f64 l l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) (*.f64 (*.f64 d (*.f64 l l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))
#s(approx (sqrt (* (/ 1 h) l)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) l))
#s(approx (* (sqrt l) (sqrt h)) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))
#s(approx (sqrt l) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 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)) (pow (/ d l) (/ 1 2))) (- 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 h l)))) l)))
#s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (neg.f64 (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
#s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))))
#s(approx (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) #s(literal 1/8 binary64)))
#s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (neg.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))))
#s(approx (/ (* M M) (* (* l d) (sqrt (* (/ 1 h) l)))) (neg.f64 (/.f64 (*.f64 M M) (*.f64 (*.f64 d (*.f64 l l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l)))))))
#s(approx (* (* l d) (sqrt (* (/ 1 h) l))) (neg.f64 (*.f64 (*.f64 d (*.f64 l l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))))
#s(approx (sqrt (* (/ 1 h) l)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) l)))
#s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l)))
#s(approx (sqrt l) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) l)))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* M M) (*.f64 M M))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (/.f64 (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 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 D D) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 h l))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 M M) #s(literal 1 binary64)))
#s(approx (* (* (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 (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 M M) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))))
#s(approx D D)
#s(approx (* D D) (*.f64 D D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (fabs.f64 d) h) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 h l))))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D D)))) (*.f64 D D)))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (* (* (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 (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 D D))) (*.f64 D D)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 D D)))) (*.f64 D D)))
#s(approx (* (* M M) (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64)))
#s(approx (- (/ 1 (* M M)) (* (* (* D D) (/ h (* (* d d) l))) 1/8)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) (*.f64 D D))) (/.f64 (*.f64 #s(literal 1/8 binary64) h) (*.f64 (*.f64 d d) l))) (*.f64 D D)))

eval66.0ms (0.5%)

Memory
-35.0MiB live, 108.4MiB allocated; 19ms collecting garbage
Compiler

Compiled 8 341 to 2 938 computations (64.8% saved)

prune77.0ms (0.6%)

Memory
8.3MiB live, 149.0MiB allocated; 4ms collecting garbage
Pruning

64 alts after pruning (61 fresh and 3 done)

PrunedKeptTotal
New51536551
Fresh202545
Picked325
Done011
Total53864602
Accuracy
93.1%
Counts
602 → 64
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
65.2%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
44.1%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
43.7%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64))))
43.0%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))
19.5%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
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))))
24.8%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
33.2%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (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))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(approx (sqrt (neg h)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
32.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
33.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.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))))
15.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 D (*.f64 D (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))))))
13.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 M (*.f64 M (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M)))))))
66.3%
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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))))
26.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.9%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (/.f64 (*.f64 M M) d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
47.4%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
48.6%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
37.7%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
39.6%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.7%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) (*.f64 D D) (/.f64 d (sqrt.f64 (*.f64 h l)))))
31.7%
#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 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
33.2%
#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 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
21.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) l)) #s(literal -1/8 binary64) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 d d))) (*.f64 d d)))
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)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h 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))
17.3%
#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)) (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64)))) h))
4.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) 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)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h)))) h))
42.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (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 h d) (/.f64 d l))) h))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h (*.f64 d (/.f64 d l)))) 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 (* (* h d) (/ d l)) (/.f64 (*.f64 (*.f64 d d) h) l))) h))
27.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 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)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
40.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
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)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 h d) (/.f64 d l))) #s(literal 1/2 binary64))) 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)) (sqrt (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))) 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 (* (* h d) (/ d l))) (*.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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
28.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
20.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64)))
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 (/.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)))
11.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) M) M))
9.6%
#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 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) 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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
22.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d 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)))
12.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
22.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 l h))))
47.4%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
24.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
40.2%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
26.6%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
15.7%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
Compiler

Compiled 4 748 to 4 410 computations (7.1% saved)

series252.0ms (2.1%)

Memory
-9.6MiB live, 375.2MiB allocated; 36ms collecting garbage
Counts
58 → 187
Calls
Call 1
Inputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
#s(literal 1 binary64)
(*.f64 l h)
l
h
d
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(/.f64 (sqrt.f64 (*.f64 h d)) h)
(sqrt.f64 (*.f64 h d))
(*.f64 h d)
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l 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)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
(*.f64 D D)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D)))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))
(fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D))))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d))
(*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)
(*.f64 (sqrt.f64 (*.f64 l h)) l)
(/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))
(*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D))
Outputs
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* -1 d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h))))))))
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#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
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#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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (* (sqrt (/ 1 (* d h))) (sqrt (/ 1 (* d l)))))))
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#s(approx (sqrt (/ d l)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#s(approx (/ (sqrt (* h d)) h) #s(hole binary64 (/ (* d (sqrt (/ h d))) h)))
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#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* (sqrt h) (sqrt l)))))
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#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (/ (* d (sqrt (/ h l))) h)))
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#s(approx (sqrt (* h l)) #s(hole binary64 (sqrt (* h l))))
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#s(approx (/ d (* (sqrt (* l h)) (* D D))) #s(hole binary64 (* -1 (/ d (* (pow D 2) (* h (sqrt (/ l h))))))))
#s(approx (* (sqrt (* l h)) (* D D)) #s(hole binary64 (* -1 (* (pow D 2) (* h (sqrt (/ l h)))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (* d l)))))) (* (pow d 2) (* (pow l 2) (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (* d l)))))) (* (pow d 2) (sqrt (neg h))))) (/ (* l (* (sqrt (neg d)) (sqrt (* d l)))) (sqrt (neg h)))) (pow l 2))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (* d l))) (* l (sqrt (neg h))))))
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (/ (* d (sqrt (/ l h))) l)))
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (/ (sqrt (/ l h)) 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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (* d l))) (* h l))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (/ (sqrt (* d l)) l)))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* (sqrt h) (sqrt l))))) (/ (* d l) (* (sqrt h) (sqrt l)))) l)))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (sqrt (* h l))))) (/ (* d l) (sqrt (* h l)))) l)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow M 2) h) (* d (sqrt (* h l))))) (/ (* d l) (* (pow D 2) (sqrt (* h l))))) l)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg h)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (sqrt (neg 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))))))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (* l (sqrt (/ h l)))))))
#s(approx (/ (fabs d) (sqrt (* h l))) #s(hole binary64 (/ (fabs d) (* l (sqrt (/ h l))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* l (sqrt (/ h l)))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* l (* (sqrt h) (sqrt (/ 1 l)))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l)))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (/ d (* l (sqrt (/ h l))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (sqrt (/ h l)))))) (/ d (sqrt (/ h l)))) l)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ d (* (pow D 2) (* l (sqrt (/ h l)))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (sqrt (/ h l)))))) (/ d (* (pow D 2) (sqrt (/ h l))))) l)))
#s(approx (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* (pow l 2) (sqrt (/ h l)))))))
#s(approx (* (* (sqrt (* l h)) l) d) #s(hole binary64 (* d (* (pow l 2) (sqrt (/ h l))))))
#s(approx (* (sqrt (* l h)) l) #s(hole binary64 (* (pow l 2) (sqrt (/ h l)))))
#s(approx (* (sqrt (* l h)) (* D D)) #s(hole binary64 (* (pow D 2) (* l (sqrt (/ h l))))))
#s(approx (sqrt (* h l)) #s(hole binary64 (* -1 (* l (sqrt (/ h l))))))
#s(approx (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ d (* l (* (sqrt h) (sqrt (/ 1 l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt (/ 1 l))))))) (/ d (* (sqrt h) (sqrt (/ 1 l))))) l))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* -1 (/ d (* l (sqrt (/ h l)))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (sqrt (/ h l)))))) (/ d (sqrt (/ h l)))) l))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* -1 (/ d (* (pow D 2) (* l (sqrt (/ h l))))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (sqrt (/ h l)))))) (/ d (* (pow D 2) (sqrt (/ h l))))) l))))
#s(approx (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) #s(hole binary64 (* -1 (/ (* (pow M 2) h) (* d (* (pow l 2) (sqrt (/ h l))))))))
#s(approx (* (* (sqrt (* l h)) l) d) #s(hole binary64 (* -1 (* d (* (pow l 2) (sqrt (/ h l)))))))
#s(approx (* (sqrt (* l h)) l) #s(hole binary64 (* -1 (* (pow l 2) (sqrt (/ h l))))))
#s(approx (* (sqrt (* l h)) (* D D)) #s(hole binary64 (* -1 (* (pow D 2) (* l (sqrt (/ h l)))))))
#s(approx (* M D) #s(hole binary64 (* D M)))
#s(approx M #s(hole binary64 M))
#s(approx (* M M) #s(hole binary64 (pow M 2)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow M 2) (sqrt (neg h))))))))
#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 (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (sqrt (* h l)))))) (/ d (* (pow M 2) (sqrt (* h l))))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ h (* d (* l (sqrt (* h l)))))) (/ d (* (pow D 2) (* (pow M 2) (sqrt (* h l)))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (sqrt (* h l)))))) (/ d (sqrt (* h l)))) (pow D 2))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow D 2) (sqrt (neg h))))))))
#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 (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l)))))) (/ d (* (pow D 2) (sqrt (* h l))))))))
Calls

15 calls:

TimeVariablePointExpression
46.0ms
h
@0
((* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)) (sqrt (* h d))) h) (neg (/ (fabs d) (sqrt (* h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) (sqrt (* h l)) (* 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)) (/ (sqrt (* h d)) h)) (sqrt (/ d l)) (/ d l) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (* (* (sqrt (* l h)) l) d) (* (sqrt (* l h)) l) (/ d (* (sqrt (* l h)) (* D D))) (* (sqrt (* l h)) (* D D)))
24.0ms
d
@inf
((* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)) (sqrt (* h d))) h) (neg (/ (fabs d) (sqrt (* h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) (sqrt (* h l)) (* 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)) (/ (sqrt (* h d)) h)) (sqrt (/ d l)) (/ d l) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (* (* (sqrt (* l h)) l) d) (* (sqrt (* l h)) l) (/ d (* (sqrt (* l h)) (* D D))) (* (sqrt (* l h)) (* D D)))
21.0ms
l
@-inf
((* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)) (sqrt (* h d))) h) (neg (/ (fabs d) (sqrt (* h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) (sqrt (* h l)) (* 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)) (/ (sqrt (* h d)) h)) (sqrt (/ d l)) (/ d l) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (* (* (sqrt (* l h)) l) d) (* (sqrt (* l h)) l) (/ d (* (sqrt (* l h)) (* D D))) (* (sqrt (* l h)) (* D D)))
15.0ms
M
@inf
((* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)) (sqrt (* h d))) h) (neg (/ (fabs d) (sqrt (* h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) (sqrt (* h l)) (* 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)) (/ (sqrt (* h d)) h)) (sqrt (/ d l)) (/ d l) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (* (* (sqrt (* l h)) l) d) (* (sqrt (* l h)) l) (/ d (* (sqrt (* l h)) (* D D))) (* (sqrt (* l h)) (* D D)))
14.0ms
l
@inf
((* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) 1 (* l h) l h d (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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)) (sqrt (* h d))) h) (neg (/ (fabs d) (sqrt (* h l)))) (/ (fabs d) (sqrt (* h l))) (fabs d) (sqrt (* h l)) (* 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)) (/ (sqrt (* h d)) h)) (sqrt (/ d l)) (/ d l) (/ (sqrt (* h d)) h) (sqrt (* h d)) (* h d) (* (/ (fabs d) (sqrt (* l h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (fabs d) (sqrt (* l h))) (sqrt (* l h)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) -1/8) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (* (* M M) h) (* M M) (* D D) (* (* d d) l) (* d d) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (* (* (sqrt (* l h)) l) d) (* (sqrt (* l h)) l) (/ d (* (sqrt (* l h)) (* D D))) (* (sqrt (* l h)) (* D D)))

rewrite158.0ms (1.3%)

Memory
9.8MiB live, 196.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07887946
08627428
135347315
083597239
Stop Event
iter-limit
node-limit
iter-limit
Counts
245 → 542
Calls
Call 1
Inputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
#s(literal 1 binary64)
(*.f64 l h)
l
h
d
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)))
(/.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))))
#s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))
(fabs.f64 d)
(sqrt.f64 (*.f64 h l))
(*.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h))
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(/.f64 (sqrt.f64 (*.f64 h d)) h)
(sqrt.f64 (*.f64 h d))
(*.f64 h d)
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 l 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)))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l))
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D))
(*.f64 (*.f64 M M) h)
(*.f64 M M)
(*.f64 D D)
(*.f64 (*.f64 d d) l)
(*.f64 d d)
#s(literal -1/8 binary64)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D)))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))
(fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D))))
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d))
(*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)
(*.f64 (sqrt.f64 (*.f64 l h)) l)
(/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))
(*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* -1 d)) (sqrt (/ d l)))))) (* (pow d 2) (* l (sqrt (neg h))))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (* -1 d)) (sqrt (/ d l)))))) (* l (sqrt (neg h))))) (/ (* (pow d 2) (* (sqrt (* -1 d)) (sqrt (/ d l)))) (sqrt (neg h)))) (pow d 2))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) #s(hole binary64 (/ (* (sqrt (* -1 d)) (sqrt (/ d l))) (sqrt (neg h)))))
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l))))))
#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)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h)))
#s(approx (neg (/ (fabs d) (sqrt (* h l)))) #s(hole binary64 (* -1 (/ (fabs d) (sqrt (* h l))))))
#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 (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l))))
#s(approx (/ d l) #s(hole binary64 (/ d l)))
#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 (* (/ (fabs d) (sqrt (* l h))) (- 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 (* l h))) (- 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 (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) (* (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (* (sqrt h) (sqrt l))))))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* l (* (sqrt h) (sqrt l))))) (/ (pow d 2) (* (sqrt h) (sqrt l)))) d)))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (sqrt (* h l))))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* l (sqrt (* h l))))) (/ (pow d 2) (sqrt (* h l)))) d)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* -1/8 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l))))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow M 2) h) (* l (sqrt (* h l))))) (/ (pow d 2) (* (pow D 2) (sqrt (* h l))))) d)))
#s(approx (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) #s(hole binary64 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l)))))))
#s(approx (* (* (sqrt (* l h)) l) d) #s(hole binary64 (* d (* l (sqrt (* h l))))))
#s(approx (/ d (* (sqrt (* l h)) (* D D))) #s(hole binary64 (/ d (* (pow D 2) (sqrt (* h l))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (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)) (sqrt (/ 1 (* d l))))) (sqrt (neg h)))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow d 2) (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d l))))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (/ -1 d)) (sqrt (/ 1 (* d l)))) (sqrt (neg h)))))))
#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 (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) #s(hole binary64 (/ (* (pow d 2) (* (sqrt (/ 1 (* d l))) (sqrt (/ h d)))) h)))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* d (sqrt (/ 1 (* d l))))))
#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 (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (/ d (* (sqrt h) (sqrt l)))))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (* (sqrt h) (sqrt l)))))) (/ 1 (* (sqrt h) (sqrt l)))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (/ d (sqrt (* h l)))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (sqrt (* h l)))))) (/ 1 (sqrt (* h l)))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* d (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) (* l (sqrt (* h l)))))) (/ 1 (* (pow D 2) (sqrt (* h l))))))))
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* d l)))))))
#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))))))
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#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* -1 (* d (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) (* l (sqrt (* h l)))))) (/ 1 (sqrt (* h l))))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* -1 (* d (- (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) (* l (sqrt (* h l)))))) (/ 1 (* (pow D 2) (sqrt (* h l)))))))))
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#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow M 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* d (* l (sqrt (* h l)))))) (/ d (* (pow M 2) (sqrt (* h l))))))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ h (* d (* l (sqrt (* h l)))))) (/ d (* (pow D 2) (* (pow M 2) (sqrt (* h l)))))))))
#s(approx D #s(hole binary64 D))
#s(approx (* D D) #s(hole binary64 (pow D 2)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* d (* l (sqrt (* h l)))))) (/ d (sqrt (* h l)))) (pow D 2))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h (* (sqrt (neg d)) (sqrt (/ d l))))) (* (pow d 2) (* l (sqrt (neg h)))))) (/ (* (sqrt (neg d)) (sqrt (/ d l))) (* (pow D 2) (sqrt (neg h))))))))
#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 (* (/ (fabs d) (sqrt (* l h))) (- 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (* (sqrt h) (sqrt l)))))) (/ d (* (pow D 2) (* (sqrt h) (sqrt l))))))))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* d (* l (sqrt (* h l)))))) (/ d (* (pow D 2) (sqrt (* h l))))))))
Outputs
(*.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))) #s(approx (/ (fabs d) (sqrt (* h l))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)))
(*.f64 #s(approx (/ (fabs d) (sqrt (* h l))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) 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))))
#s(approx (/ (fabs d) (sqrt (* h l))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)
(*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)))
(pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h))) (neg.f64 (sqrt.f64 l)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 l h))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 h))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (sqrt.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) h))
(*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)) (/.f64 #s(literal 1 binary64) (*.f64 l h))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) #s(literal 2 binary64))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))) (*.f64 (sqrt.f64 l) (sqrt.f64 l)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 l) (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 h)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 l) (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 h))) (*.f64 (sqrt.f64 (*.f64 l h)) (sqrt.f64 l)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 h))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) h)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) h)
(/.f64 (/.f64 #s(literal 1 binary64) h) l)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 l h)) (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 l h))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 l h)) (sqrt.f64 (*.f64 l h))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)) (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 l h)
(*.f64 h l)
l
h
d
(/.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 (*.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 #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)))) (neg.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)))))))
(/.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 (*.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 (*.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) (*.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 (*.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 h l) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 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 #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 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h)) (neg.f64 l))
(/.f64 (*.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 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (fabs.f64 (*.f64 M (/.f64 D (+.f64 d d)))) (fabs.f64 (*.f64 M (/.f64 D (+.f64 d d)))))
(*.f64 (neg.f64 (*.f64 M (/.f64 D (+.f64 d d)))) (neg.f64 (*.f64 M (/.f64 D (+.f64 d d)))))
(*.f64 (exp.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d))))) (exp.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d))))))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))
(*.f64 (*.f64 M M) (pow.f64 (/.f64 D (+.f64 d d)) #s(literal 2 binary64)))
(*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(pow.f64 (exp.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1 binary64))
(pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 (*.f64 D M))) (*.f64 d (neg.f64 (+.f64 d d))))
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))
(/.f64 (*.f64 (neg.f64 (*.f64 D M)) (/.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (neg.f64 (+.f64 d d)) d))
(/.f64 (*.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 D M))) (*.f64 (neg.f64 (+.f64 d d)) (neg.f64 (+.f64 d d))))
(/.f64 (*.f64 (neg.f64 (*.f64 D M)) (*.f64 D M)) (*.f64 (neg.f64 (+.f64 d d)) (+.f64 d d)))
(/.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (+.f64 d d) d))
(/.f64 (*.f64 (*.f64 D M) (neg.f64 (*.f64 D M))) (*.f64 (+.f64 d d) (neg.f64 (+.f64 d d))))
(/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (+.f64 d d) (+.f64 d d)))
(exp.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 D d) #s(literal 1 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 M (pow.f64 (/.f64 D (+.f64 d d)) #s(literal 1 binary64)))
(*.f64 M (/.f64 D (+.f64 d d)))
(pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (*.f64 D M))) (neg.f64 (neg.f64 (+.f64 d d))))
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d)
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (+.f64 d d)))
(/.f64 (*.f64 D M) (+.f64 d d))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 1 binary64)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(+.f64 d d)
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 h l)
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))))
#s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))
(/.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (neg.f64 (fabs.f64 d)) (sqrt.f64 (*.f64 l h)))
(/.f64 (fabs.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h))))
(neg.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h))))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 d d) (*.f64 l h)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (sqrt.f64 d)) (*.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 d)) (*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 l)))
(/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 (neg.f64 d)))) (*.f64 (sqrt.f64 l) (neg.f64 (sqrt.f64 (neg.f64 h)))))
(/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 (neg.f64 d))) (*.f64 (sqrt.f64 l) (sqrt.f64 (neg.f64 h))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 h)))))
(/.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (sqrt.f64 (*.f64 l h))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 (neg.f64 h)))
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h)))
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))
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#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) d)) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l)))))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 D D)))) l)))
#s(approx (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) (neg.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 d (*.f64 l l)) (sqrt.f64 (/.f64 h l))))))
#s(approx (* (* (sqrt (* l h)) l) d) (*.f64 (neg.f64 d) (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (sqrt (* l h)) l) (neg.f64 (*.f64 (*.f64 l l) (sqrt.f64 (/.f64 h l)))))
#s(approx (* (sqrt (* l h)) (* D D)) (neg.f64 (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l)))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* M M) (*.f64 M M))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (neg.f64 h))))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d)))) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (neg.f64 h)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (* (* (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 (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)) (pow (/ d l) (/ 1 2))) (- 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 (sqrt.f64 (*.f64 l h)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D D) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 M M)))) (*.f64 M M)))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (*.f64 (fma.f64 (/.f64 h (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 M M)) (*.f64 D D)))) (*.f64 M M)))
#s(approx D D)
#s(approx (* D D) (*.f64 D D))
#s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 D D)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) h) (*.f64 M M)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (neg.f64 h)))) #s(literal -1/8 binary64) (/.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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)))))
#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 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.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)) (pow (/ d l) (/ 1 2))) (- 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 (sqrt.f64 (*.f64 l h)) l) (*.f64 d d)))) #s(literal -1/8 binary64) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D)))
#s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) D) D))
#s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) D) D))

eval61.0ms (0.5%)

Memory
40.0MiB live, 89.6MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 877 to 2 930 computations (62.8% saved)

prune178.0ms (1.5%)

Memory
-14.3MiB live, 177.1MiB allocated; 31ms collecting garbage
Pruning

80 alts after pruning (75 fresh and 5 done)

PrunedKeptTotal
New49836534
Fresh173956
Picked325
Done033
Total51880598
Accuracy
93.8%
Counts
598 → 80
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(/.f64 (*.f64 (fabs.f64 d) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 l h)))
52.9%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
65.2%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
20.6%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 d d)) l) #s(literal -1/8 binary64))))
21.4%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
20.3%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
19.5%
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
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))))
33.2%
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (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))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(approx (sqrt (neg h)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
32.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
15.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 D (*.f64 D (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))))))
13.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 M (*.f64 M (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M)))))))
65.2%
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.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))))
42.9%
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
26.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.9%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (/.f64 (*.f64 M M) d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
47.4%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
48.6%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
37.7%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
39.6%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
37.7%
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
31.7%
#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 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
33.2%
#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 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
21.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.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)))
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))
4.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) 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)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (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 h d) (/.f64 d l))) h))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 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)))) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))
40.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 l h)) h)))))
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)))) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 h d) (/.f64 d l))) #s(literal 1/2 binary64))) 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)) (sqrt (* h d))) (neg.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))) h))) 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 (* (* h d) (/ d l))) (*.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 (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
28.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
20.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (fabs.f64 d)) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) l) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64)))
18.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M M)) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) (*.f64 d d))) #s(literal -1/8 binary64)))
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 (/.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)))
11.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M))) M) M))
9.6%
#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 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
24.0%
#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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
17.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) 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)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d h)))) h)))
22.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d 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)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (sqrt.f64 (/.f64 d 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)))
12.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))
23.1%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
22.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
16.4%
#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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) 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)) (sqrt (* 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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 d)) (sqrt.f64 (*.f64 h l))))))
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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
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)) (sqrt (* 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)) (sqrt (* 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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
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)) (sqrt (* 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))))))
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)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
13.9%
#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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h))))))
12.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d 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)) (sqrt (* 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)) (sqrt (* h d))) h) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 l h))) #s(literal 1/2 binary64))))))
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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 l h))))
53.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
43.2%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
26.6%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
15.7%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
26.6%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
15.0%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
11.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
28.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) d)) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l))))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 d (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
15.3%
#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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
Compiler

Compiled 5 662 to 3 812 computations (32.7% saved)

regimes341.0ms (2.8%)

Memory
-5.9MiB live, 271.4MiB allocated; 27ms collecting garbage
Counts
145 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) h) M) M) 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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #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)))) (-.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 #s(approx (pow (/ d h) (/ 1 2)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 h d))) 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))) #s(approx (pow (/ d l) (/ 1 2)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (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 (fma.f64 (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) (*.f64 M M)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 D D))) D) D)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) #s(approx (sqrt (neg h)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (*.f64 (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) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (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 l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (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))))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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))))
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

7 calls:

68.0ms
M
60.0ms
l
51.0ms
D
41.0ms
d
39.0ms
(*.f64 M 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
76.2%3h
75.6%3l
68.0%2M
66.3%1D
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes58.0ms (0.5%)

Memory
16.4MiB live, 60.4MiB allocated; 10ms collecting garbage
Counts
124 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h)))) h))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 M (*.f64 M (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 D (*.f64 D (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.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 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.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 d) (*.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))))
(*.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)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M)) 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 (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 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.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 (* (* (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 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.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)))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

1 calls:

49.0ms
h
Results
AccuracySegmentsBranch
76.1%3h
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes122.0ms (1%)

Memory
-15.3MiB live, 128.0MiB allocated; 28ms collecting garbage
Counts
119 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (/.f64 (*.f64 M M) d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) d)) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 M (*.f64 M (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h))))) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 M M) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (*.f64 (*.f64 D (*.f64 D (/.f64 h (*.f64 (*.f64 d d) l)))) #s(literal 1/8 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.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 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.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 d) (*.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))))
(*.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)) (/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 D M)) (*.f64 d (+.f64 d d)))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) (*.f64 M M)) 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 (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 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d 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(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
#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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

2 calls:

77.0ms
l
37.0ms
h
Results
AccuracySegmentsBranch
73.0%2l
75.4%3h
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes99.0ms (0.8%)

Memory
0.3MiB live, 238.0MiB allocated; 23ms collecting garbage
Counts
104 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.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 (* (* (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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (/.f64 (*.f64 M M) d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l) d)) #s(literal -1/8 binary64) (/.f64 d (sqrt.f64 (/.f64 h l)))) l))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (sqrt.f64 (*.f64 l h)) l)) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 l h)) (*.f64 D D)))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal 1/8 binary64) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) M) (*.f64 d d)) (/.f64 M l)) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h)))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

3 calls:

33.0ms
l
31.0ms
h
25.0ms
(*.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
65.7%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
72.2%4l
72.3%4h
Compiler

Compiled 33 to 32 computations (3% saved)

regimes117.0ms (1%)

Memory
-6.0MiB live, 142.0MiB allocated; 32ms collecting garbage
Counts
94 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1/8 binary64) (/.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h)))) l)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

3 calls:

33.0ms
h
29.0ms
l
23.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
63.1%4(*.f64 M D)
71.2%4l
70.0%4h
Compiler

Compiled 5 to 16 computations (-220% saved)

regimes123.0ms (1%)

Memory
26.1MiB live, 208.9MiB allocated; 32ms collecting garbage
Counts
93 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 h d) (/.f64 d l))) #s(literal 1/2 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M M)) (*.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)) (pow (/ d l) (/ 1 2))) (- 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 h l)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(/.f64 (*.f64 (fabs.f64 d) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 l h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 d d)) l) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal -1/8 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) (*.f64 D D) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.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 (* (* (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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (/.f64 (*.f64 M M) d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 l 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 M (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

4 calls:

37.0ms
d
28.0ms
l
27.0ms
D
23.0ms
M
Results
AccuracySegmentsBranch
57.9%4D
53.9%3d
64.2%4M
68.5%3l
Compiler

Compiled 4 to 20 computations (-400% saved)

regimes112.0ms (0.9%)

Memory
9.8MiB live, 152.4MiB allocated; 26ms 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (sqrt.f64 (/.f64 d 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)))) (fma.f64 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.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)))))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 l 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (*.f64 M (/.f64 M (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d)))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

3 calls:

50.0ms
h
32.0ms
l
24.0ms
(*.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
59.8%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
65.9%4h
67.1%3l
Compiler

Compiled 33 to 32 computations (3% saved)

regimes47.0ms (0.4%)

Memory
9.6MiB live, 54.2MiB allocated; 6ms collecting garbage
Counts
87 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 h d) (/.f64 d l))) #s(literal 1/2 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M M)) (*.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)) (pow (/ d l) (/ 1 2))) (- 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 h l)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(/.f64 (*.f64 (fabs.f64 d) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 l h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 d d)) l) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal -1/8 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l))))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) D) D (/.f64 d (sqrt.f64 (*.f64 h l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)) l) d))) #s(literal -1/8 binary64)) (*.f64 D D) (/.f64 d (sqrt.f64 (*.f64 h l)))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(approx (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 (*.f64 (*.f64 d d) l) h))) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 (*.f64 d d) l) l))) #s(literal -1/8 binary64)))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 l 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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

1 calls:

41.0ms
l
Results
AccuracySegmentsBranch
67.0%3l
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes33.0ms (0.3%)

Memory
-5.3MiB live, 39.3MiB allocated; 6ms collecting garbage
Counts
78 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 h d) (/.f64 d l))) #s(literal 1/2 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M M)) (*.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)) (pow (/ d l) (/ 1 2))) (- 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 h l)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(/.f64 (*.f64 (fabs.f64 d) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 l h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 d d)) l) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)) (*.f64 D D) #s(literal 1 binary64))))
#s(approx (* (* (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 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

1 calls:

28.0ms
l
Results
AccuracySegmentsBranch
66.2%3l
Compiler

Compiled 1 to 5 computations (-400% saved)

regimes83.0ms (0.7%)

Memory
2.3MiB live, 51.8MiB allocated; 15ms collecting garbage
Counts
77 → 4
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) 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)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Outputs
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) 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 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) (/.f64 (*.f64 M M) (*.f64 (*.f64 l d) (sqrt.f64 #s(approx (* (/ 1 h) l) (/.f64 l h)))))) #s(literal -1/8 binary64)) D) D (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))))
Calls

2 calls:

56.0ms
l
20.0ms
h
Results
AccuracySegmentsBranch
62.7%4h
65.7%4l
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes220.0ms (1.8%)

Memory
-13.3MiB live, 179.6MiB allocated; 114ms collecting garbage
Counts
76 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
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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 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) h)))) 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 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
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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 (exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 h d) (/.f64 d l))) #s(literal 1/2 binary64))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64))) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (exp.f64 (*.f64 (log.f64 (*.f64 h d)) #s(literal 1/2 binary64)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.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)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 d) h) (*.f64 M M)) (*.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)) (pow (/ d l) (/ 1 2))) (- 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 h l)))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) h) (*.f64 M M)) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 M h)) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l 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))))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) (*.f64 D D)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))
(/.f64 (*.f64 (fabs.f64 d) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 l h)))
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) D) (*.f64 d d)) l) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))) h) M) M) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) D) D))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (sqrt.f64 (/.f64 (*.f64 d d) (*.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))))
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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) (*.f64 D D)) (*.f64 l d)) #s(literal -1/8 binary64)))
Calls

5 calls:

94.0ms
h
36.0ms
l
35.0ms
(*.f64 M D)
33.0ms
M
16.0ms
(*.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
53.6%4h
57.2%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))))
58.2%2(*.f64 M D)
58.5%2M
55.1%3l
Compiler

Compiled 37 to 43 computations (-16.2% saved)

regimes41.0ms (0.3%)

Memory
2.8MiB live, 49.3MiB allocated; 9ms collecting garbage
Counts
60 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 h l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) l) d)) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) l)))) #s(literal -1/8 binary64))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 h d) (/.f64 d l))) #s(literal 1/2 binary64))) 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 l d) (sqrt.f64 (*.f64 l h))))) #s(literal -1/8 binary64))))
Calls

2 calls:

21.0ms
(*.f64 M D)
15.0ms
M
Results
AccuracySegmentsBranch
57.4%2(*.f64 M D)
57.3%2M
Compiler

Compiled 4 to 11 computations (-175% saved)

regimes47.0ms (0.4%)

Memory
16.0MiB live, 62.7MiB allocated; 3ms collecting garbage
Counts
53 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d))) (*.f64 D D))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1/2 binary64))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 (*.f64 (sqrt.f64 (/.f64 l h)) l) d)) #s(literal -1/8 binary64)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

3 calls:

18.0ms
M
13.0ms
(*.f64 M D)
12.0ms
(*.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
57.2%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%2M
49.4%2(*.f64 M D)
Compiler

Compiled 35 to 33 computations (5.7% saved)

regimes85.0ms (0.7%)

Memory
-36.0MiB live, 109.9MiB allocated; 15ms collecting garbage
Counts
48 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) h)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 #s(approx (* (* h d) (/ d l)) (/.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 h (*.f64 d (/.f64 d l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (sqrt.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 (* (* h d) (/ d l))) h) (/.f64 (*.f64 (fabs.f64 d) (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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 (*.f64 h d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d))) h))
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 h) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d l)) (sqrt (* 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)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 d l)) (/.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 d)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h d) (*.f64 l d)))) d) d))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) 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 d l)) #s(approx (sqrt (* h d)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h d)) d)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(approx (sqrt (* h d)) (*.f64 (neg.f64 h) (sqrt.f64 (/.f64 d 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)) (sqrt (* h d))) h) (*.f64 (*.f64 d d) (/.f64 (sqrt.f64 (/.f64 (neg.f64 h) (*.f64 (neg.f64 (*.f64 l d)) d))) h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) (sqrt.f64 (*.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (*.f64 #s(approx (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (/.f64 (neg.f64 d) (*.f64 (*.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h l))))) (*.f64 D D))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

4 calls:

27.0ms
l
17.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
13.0ms
d
12.0ms
D
Results
AccuracySegmentsBranch
42.9%1d
50.9%3l
46.2%2D
53.6%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 34 to 37 computations (-8.8% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
22 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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)) (sqrt (* 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 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.f64 (neg.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)) (sqrt (* h d))) h) (neg.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)))) (*.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)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) #s(approx (* (sqrt l) (sqrt h)) (neg.f64 (*.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)) (sqrt (* h d))) h) (neg.f64 (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 h l))))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h 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 (sqrt.f64 (/.f64 d l)) #s(approx (/ (sqrt (* h d)) h) (neg.f64 (sqrt.f64 (/.f64 d h))))))
Outputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (/ d l)) (sqrt (* 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 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

5.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
53.5%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))))
Compiler

Compiled 31 to 22 computations (29% saved)

regimes3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
8 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) #s(approx (* (+ (* (/ (* (* M M) h) (* (* (sqrt (* l h)) l) d)) -1/8) (/ d (* (sqrt (* l h)) (* D D)))) (* D D)) (/.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)))) (/.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)))) (/.f64 (fabs.f64 d) (*.f64 (sqrt.f64 l) (sqrt.f64 h))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

1 calls:

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
52.1%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)

regimes12.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
5 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (* (* h d) (/ d l))) h) (neg.f64 (/.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)) (sqrt (* 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)))) (sqrt.f64 (/.f64 (*.f64 d 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(approx (/ (sqrt (* (* h d) (/ d l))) h) (neg.f64 (/.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

5 calls:

3.0ms
h
2.0ms
l
2.0ms
(*.f64 M D)
2.0ms
M
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
45.4%2M
42.9%1l
45.7%2(*.f64 M D)
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 37 to 43 computations (-16.2% saved)

regimes20.0ms (0.2%)

Memory
-32.5MiB live, 15.2MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.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)))) (/.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 (+ (* (* (* (/ (* (* (* (/ d (* (sqrt l) (sqrt h))) h) M) M) (* (* d d) l)) -1/8) D) D) (/ d (* (sqrt l) (sqrt h)))) (/.f64 d (sqrt.f64 (*.f64 l h)))))
Calls

5 calls:

14.0ms
(*.f64 M D)
1.0ms
M
1.0ms
D
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
l
Results
AccuracySegmentsBranch
42.9%1l
42.9%1M
42.9%1(*.f64 M D)
42.9%1D
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)

bsearch97.0ms (0.8%)

Memory
2.5MiB live, 141.8MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
71.0ms
1.0566163025056546e-299
9.025500283989192e-290
14.0ms
-1.0846870625193568e+225
-5.82186572297527e+214
Samples
33.0ms288×0invalid
26.0ms160×0valid
Compiler

Compiled 918 to 880 computations (4.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-pow: 13.0ms (33.2% of total)
ival-div!: 10.0ms (25.6% of total)
ival-mult!: 10.0ms (25.6% of total)
ival-pow2: 5.0ms (12.8% of total)
ival-sub!: 1.0ms (2.6% of total)
adjust: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-1.3MiB live, 44.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
2.0ms
1.0566163025056546e-299
9.025500283989192e-290
13.0ms
-1.0846870625193568e+225
-5.82186572297527e+214
Samples
11.0ms101×0invalid
Compiler

Compiled 798 to 760 computations (4.8% saved)

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

bsearch22.0ms (0.2%)

Memory
1.5MiB live, 46.9MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
2.0ms
1.0566163025056546e-299
9.025500283989192e-290
13.0ms
-1.0846870625193568e+225
-5.82186572297527e+214
Samples
11.0ms101×0invalid
Compiler

Compiled 808 to 760 computations (5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div!: 2.0ms (28.1% of total)
ival-mult!: 2.0ms (28.1% of total)
ival-pow: 1.0ms (14.1% of total)
ival-pow2: 1.0ms (14.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Memory
22.0MiB live, 125.6MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-failed
predicate-failed
predicate-failed
Steps
TimeLeftRight
16.0ms
-3.6385998290388496e-302
5.570719200747977e-308
16.0ms
-2.286745987326602e-226
-1.1779621013287253e-227
13.0ms
-7.541158259709831e-168
-2.6099051203349277e-168
Samples
37.0ms303×0invalid
Compiler

Compiled 38 to 30 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div!: 9.0ms (33.8% of total)
ival-mult!: 7.0ms (26.3% of total)
ival-sub!: 4.0ms (15% of total)
ival-pow: 4.0ms (15% of total)
ival-pow2: 3.0ms (11.3% of total)
adjust: 0.0ms (0% of total)

bsearch103.0ms (0.9%)

Memory
6.6MiB live, 247.2MiB allocated; 31ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
predicate-failed
Steps
TimeLeftRight
62.0ms
-8.300151076997981e-305
1.4654962431510756e-303
15.0ms
-8.587826556953642e-122
-1.3891034542311533e-123
16.0ms
-1.5072769888649685e+85
-4.77382400060469e+71
Samples
47.0ms362×0invalid
29.0ms144×0valid
Compiler

Compiled 794 to 786 computations (1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult!: 14.0ms (26.2% of total)
ival-pow2: 13.0ms (24.4% of total)
ival-div!: 13.0ms (24.4% of total)
ival-pow: 12.0ms (22.5% of total)
ival-sub!: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)

bsearch64.0ms (0.5%)

Memory
-37.3MiB live, 61.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
3.0ms
-8.300151076997981e-305
1.4654962431510756e-303
18.0ms
-1.528519195409246e-21
-1.9602989887065476e-37
Samples
15.0ms101×0invalid
Compiler

Compiled 794 to 786 computations (1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 5.0ms (46.3% of total)
ival-div!: 3.0ms (27.8% of total)
ival-pow: 1.0ms (9.3% of total)
ival-pow2: 1.0ms (9.3% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch146.0ms (1.2%)

Memory
44.6MiB live, 325.7MiB allocated; 17ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
92.0ms
4.225750391562038e-260
1.73137195954747e-235
44.0ms
-1.528519195409246e-21
-1.9602989887065476e-37
Samples
72.0ms290×0invalid
39.0ms176×0valid
Compiler

Compiled 962 to 954 computations (0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-pow2: 28.0ms (32.5% of total)
ival-div!: 20.0ms (23.2% of total)
ival-mult!: 19.0ms (22% of total)
ival-pow: 18.0ms (20.9% of total)
ival-sub!: 2.0ms (2.3% of total)
adjust: 0.0ms (0% of total)

bsearch67.0ms (0.6%)

Memory
-10.6MiB live, 134.1MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
43.0ms
4.225750391562038e-260
1.73137195954747e-235
17.0ms
-1.528519195409246e-21
-1.9602989887065476e-37
Samples
28.0ms214×0invalid
17.0ms112×0valid
Compiler

Compiled 973 to 965 computations (0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 11.0ms (33.2% of total)
ival-mult!: 11.0ms (33.2% of total)
ival-div!: 7.0ms (21.2% of total)
ival-pow2: 4.0ms (12.1% of total)
ival-sub!: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
9.8MiB live, 55.2MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
Steps
TimeLeftRight
2.0ms
4.225750391562038e-260
1.73137195954747e-235
18.0ms
-1.528519195409246e-21
-1.9602989887065476e-37
Samples
15.0ms101×0invalid
Compiler

Compiled 973 to 965 computations (0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div!: 7.0ms (60.7% of total)
ival-mult!: 2.0ms (17.3% of total)
ival-pow: 1.0ms (8.7% of total)
ival-pow2: 1.0ms (8.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch99.0ms (0.8%)

Memory
-33.7MiB live, 201.6MiB allocated; 34ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-failed
predicate-failed
Steps
TimeLeftRight
41.0ms
4.225750391562038e-260
1.73137195954747e-235
26.0ms
-3.573564002083575e-304
-8.300151076997981e-305
17.0ms
-1.528519195409246e-21
-1.9602989887065476e-37
Samples
56.0ms267×0invalid
15.0ms80×0valid
Compiler

Compiled 951 to 921 computations (3.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult!: 22.0ms (41.4% of total)
ival-pow: 12.0ms (22.6% of total)
ival-pow2: 9.0ms (16.9% of total)
ival-div!: 9.0ms (16.9% of total)
ival-sub!: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
15.7MiB live, 111.8MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
3.549053786412157e-51
9.504141957713253e-50
Samples
23.0ms112×0valid
14.0ms115×0invalid
Compiler

Compiled 640 to 590 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 5.0ms (24.4% of total)
ival-pow2: 5.0ms (24.4% of total)
ival-div!: 5.0ms (24.4% of total)
ival-mult!: 5.0ms (24.4% of total)
ival-sub!: 1.0ms (4.9% 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
1.3837833679868037e+112
3.7416723046797775e+115
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
6.064048342515774e+125
5.870521808255633e+129
0.0ms
-1.793292033408655e-109
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
0.7MiB live, 0.7MiB 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)

derivations860.0ms (7.1%)

Memory
42.4MiB live, 807.5MiB allocated; 280ms collecting garbage
Stop Event
fuel
Compiler

Compiled 599 to 288 computations (51.9% saved)

preprocess551.0ms (4.6%)

Memory
41.6MiB live, 977.1MiB allocated; 345ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

Compiler

Compiled 19 352 to 13 404 computations (30.7% saved)

end0.0ms (0%)

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

Profiling

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