Henrywood and Agarwal, Equation (12)

Time bar (total: 8.4s)

start0.0ms (0%)

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

analyze439.0ms (5.2%)

Memory
42.3MiB live, 783.4MiB allocated; 142ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
12.5%12.5%87.3%0.2%0%0%0%4
12.5%12.5%87.3%0.2%0%0%0%5
12.5%12.5%87.3%0.2%0%0%0%6
15.4%12.5%68.6%0.2%0%18.7%0%7
16.7%12.5%62.3%0.2%0%24.9%0%8
20%14%56.1%0.2%0%29.6%0%9
20%14%56.1%0.2%0%29.6%0%10
20%14%56.1%0.2%0%29.6%0%11
22.9%14.8%49.9%0.2%0%35.1%0%12
Compiler

Compiled 37 to 24 computations (35.1% saved)

sample5.1s (61%)

Memory
7.4MiB live, 6 901.8MiB allocated; 2.1s collecting garbage
Samples
2.1s13 095×0invalid
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-mult!: 925.0ms (32.9% of total)
ival-pow: 826.0ms (29.4% of total)
ival-div!: 624.0ms (22.2% of total)
ival-pow2: 377.0ms (13.4% of total)
ival-sub!: 54.0ms (1.9% of total)
adjust: 4.0ms (0.1% of total)
Bogosity

preprocess76.0ms (0.9%)

Memory
-52.0MiB live, 74.0MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0171589
1748556
24245550
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)

series94.0ms (1.1%)

Memory
24.3MiB live, 158.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02001456
Stop Event
iter-limit
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)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h)))
#s(approx (/ d h) (/.f64 d h))
#s(approx d d)
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (/ (* M D) (* 2 d)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (* 2 d) (*.f64 #s(literal 2 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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))))))
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))) h))
#s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 d h)) h))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 h (-.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 h (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 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 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
#s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 d l)) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d 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 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#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 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
Calls

15 calls:

TimeVariablePointExpression
8.0ms
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))
8.0ms
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))
7.0ms
l
@inf
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))
6.0ms
d
@0
((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l))

rewrite71.0ms (0.8%)

Memory
-10.0MiB live, 82.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022132
038126
1132124
01053122
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 281
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
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.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 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.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 h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))))
(*.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 (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))
(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 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))
(*.f64 (pow.f64 d #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 d h))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))
(sqrt.f64 (/.f64 d h))
(fabs.f64 (sqrt.f64 (/.f64 d h)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) h) d)
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 h)))
(*.f64 #s(literal 1 binary64) (/.f64 d h))
(*.f64 d (/.f64 #s(literal 1 binary64) h))
(pow.f64 (/.f64 h d) #s(literal -1 binary64))
(/.f64 (*.f64 d #s(literal 1 binary64)) h)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 h)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 h d)))
(/.f64 (neg.f64 d) (neg.f64 h))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 h d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 h d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 h d))
(/.f64 d 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 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l)))
(*.f64 (pow.f64 d #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 d l))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))
(sqrt.f64 (/.f64 d l))
(fabs.f64 (sqrt.f64 (/.f64 d l)))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) l) d)
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 #s(literal 1 binary64) (/.f64 d l))
(*.f64 d (/.f64 #s(literal 1 binary64) l))
(pow.f64 (/.f64 l d) #s(literal -1 binary64))
(/.f64 (*.f64 d #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l d)))
(/.f64 (neg.f64 d) (neg.f64 l))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 l d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l d))
(/.f64 d l)
(neg.f64 (/.f64 d (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 d) l))
l
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l))))))
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(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 d d) (*.f64 D M))))
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d))
(/.f64 (*.f64 D M) (+.f64 d d))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 d d) (*.f64 D M))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 D M) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 d d) (*.f64 D M)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) (*.f64 D M)))
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)))
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) (+.f64 d d)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 1 binary64)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(fma.f64 #s(literal 1 binary64) d (*.f64 #s(literal 1 binary64) d))
(fma.f64 d #s(literal 1 binary64) (*.f64 d #s(literal 1 binary64)))
(-.f64 d (neg.f64 d))
(+.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 #s(literal 1 binary64) d))
(+.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 d #s(literal 1 binary64)))
(+.f64 d d)
(*.f64 (/.f64 #s(literal 1 binary64) l) h)
(*.f64 (neg.f64 h) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 #s(literal 1 binary64) (/.f64 h l))
(*.f64 h (/.f64 #s(literal 1 binary64) l))
(pow.f64 (/.f64 l h) #s(literal -1 binary64))
(/.f64 (*.f64 h #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (neg.f64 h)) (neg.f64 (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l h)))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(/.f64 h l)
(neg.f64 (/.f64 h (neg.f64 l)))
(neg.f64 (/.f64 (neg.f64 h) l))

eval32.0ms (0.4%)

Memory
29.0MiB live, 74.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 3 956 to 1 565 computations (60.4% saved)

prune42.0ms (0.5%)

Memory
-29.8MiB live, 65.3MiB allocated; 17ms collecting garbage
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New28728315
Fresh000
Picked101
Done000
Total28828316
Accuracy
80.5%
Counts
316 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
27.3%
(*.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 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))))
27.6%
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
32.4%
(*.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))))
28.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
28.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
29.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M M) (*.f64 (/.f64 D (+.f64 d d)) (/.f64 D (+.f64 d d))))) (/.f64 h l))))
23.8%
(*.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 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l)))
18.7%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
0.0%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
35.4%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
32.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
0.5%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))
32.5%
(*.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))))
36.6%
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
32.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
32.5%
(*.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))))
32.3%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 d h)) 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))))
44.5%
(*.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))))
29.4%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
14.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
13.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))) (pow.f64 l #s(literal 2 binary64))))
16.6%
#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 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
17.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
10.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
Compiler

Compiled 1 860 to 1 578 computations (15.2% saved)

series182.0ms (2.2%)

Memory
47.0MiB live, 319.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05304614
Stop Event
iter-limit
Counts
57 → 138
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 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h)
(*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (*.f64 d h))
(*.f64 d h)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)
(*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 d l))
(*.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)))
(*.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)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h)
(*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 D M)
(*.f64 (+.f64 d d) (+.f64 d d))
(+.f64 d d)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) l)
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx (/ (* d d) (* h l)) (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))
#s(approx (* d d) (pow.f64 d #s(literal 2 binary64)))
#s(approx d d)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (/ (* M D) (* 2 d)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (* 2 d) (*.f64 #s(literal 2 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)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))))
#s(approx (sqrt (* d h)) (sqrt.f64 (*.f64 d h)))
#s(approx (* d h) (*.f64 d h))
#s(approx (sqrt (/ d l)) (sqrt.f64 (/.f64 d l)))
#s(approx (/ d l) (/.f64 d l))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))
#s(approx (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))
#s(approx (sqrt (* d l)) (sqrt.f64 (*.f64 d l)))
#s(approx (* d l) (*.f64 d l))
#s(approx (sqrt (/ d h)) (sqrt.f64 (/.f64 d h)))
#s(approx (/ d h) (/.f64 d 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)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 l (sqrt.f64 (neg.f64 h)))) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h)))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) d)) (sqrt.f64 (neg.f64 h))))
#s(approx (sqrt (neg d)) (sqrt.f64 (*.f64 #s(literal -1 binary64) d)))
#s(approx (neg d) (*.f64 #s(literal -1 binary64) d))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l) (pow.f64 d #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* (+ d d) (+ d d)) (*.f64 #s(literal 4 binary64) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d)))) h))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d)))))
#s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d))))
#s(approx (sqrt (/ d l)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))
#s(approx (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 l d)))) l))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 l d)))))
#s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d))))
#s(approx (sqrt (/ d h)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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)))) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))) (sqrt.f64 (neg.f64 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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))) (sqrt.f64 (neg.f64 h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) d))) (sqrt.f64 (neg.f64 h))))
#s(approx (sqrt (neg d)) (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) d))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d)))))
#s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
#s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d)))))
#s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) d))) (sqrt.f64 (neg.f64 h)))))
#s(approx (sqrt (neg d)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal -1 binary64) d)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))) h))
#s(approx (* h l) (*.f64 h l))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))) h))
#s(approx (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (*.f64 d l))) (*.f64 h l)))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (*.f64 d l))) h))
#s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (*.f64 #s(literal -1 binary64) 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)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (*.f64 #s(literal -1 binary64) h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (*.f64 #s(literal -1 binary64) h)))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 #s(literal -1 binary64) h))))
#s(approx (sqrt (neg h)) (sqrt.f64 (*.f64 #s(literal -1 binary64) h)))
#s(approx (neg h) (*.f64 #s(literal -1 binary64) h))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) h))))
#s(approx (sqrt (/ (* d d) (* h l))) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 h (-.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h))))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (* d h)) (*.f64 h (sqrt.f64 (/.f64 d 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)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (/.f64 (sqrt.f64 (neg.f64 d)) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (sqrt (neg h)) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 binary64) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 h (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 h (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
#s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 h (sqrt.f64 (/.f64 d 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)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 d)) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))
#s(approx (sqrt (neg h)) (*.f64 #s(literal -1 binary64) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (*.f64 #s(literal -1 binary64) (*.f64 h (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))) (/.f64 #s(literal 1 binary64) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (*.f64 d l))) l))
#s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 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)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (sqrt.f64 (neg.f64 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))) (/.f64 (*.f64 l (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))) (sqrt.f64 (neg.f64 h)))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l))) (*.f64 l (sqrt.f64 (neg.f64 h)))))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (/.f64 (+.f64 l (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (/ 1 l) (/.f64 #s(literal 1 binary64) l))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (* d l)) (*.f64 l (sqrt.f64 (/.f64 d 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)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 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)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
#s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 d l)))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* D M) (* D M)) (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 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)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))))))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))))))
#s(approx D D)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))))))
#s(approx (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))))))
Calls

15 calls:

TimeVariablePointExpression
32.0ms
M
@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 (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1)) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (/ 1 l))
16.0ms
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 (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1)) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (/ 1 l))
14.0ms
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 (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1)) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (/ 1 l))
11.0ms
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 (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1)) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (/ 1 l))
10.0ms
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 (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1)) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (+ (* (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (/ 1 l)) 1) (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) h) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (/ 1 l))

rewrite96.0ms (1.1%)

Memory
-23.7MiB live, 70.8MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073513
0121440
0390438
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
57 → 243
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 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h)
(*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (*.f64 d h))
(*.f64 d h)
(sqrt.f64 (/.f64 d l))
(/.f64 d l)
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)
(*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 d l))
(*.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)))
(*.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)))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h)
(*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 D M)
(*.f64 (+.f64 d d) (+.f64 d d))
(+.f64 d d)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) l)
Outputs
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 d (/.f64 d (*.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)))
(pow.f64 (*.f64 d (/.f64 d (*.f64 l h))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h))))
(fabs.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (/.f64 d h) (/.f64 d l))
(*.f64 (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(*.f64 d (/.f64 d (*.f64 l h)))
(/.f64 (/.f64 (*.f64 d d) h) l)
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l h) (*.f64 d d)))
(/.f64 (*.f64 d d) (*.f64 l h))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 d d)
(pow.f64 d #s(literal 2 binary64))
d
(*.f64 l h)
(*.f64 h l)
h
l
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))))))
(neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))))
#s(literal 1 binary64)
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) (/.f64 h l)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)) (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D M) D) M)) (neg.f64 (*.f64 (+.f64 d d) (+.f64 d d))))
(/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d d) (+.f64 d d)) (*.f64 (*.f64 (*.f64 D M) D) M)))
(exp.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d)))
(*.f64 M (/.f64 D (+.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) (/.f64 (+.f64 d d) (*.f64 D M)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(-.f64 d (neg.f64 d))
(+.f64 d d)
(*.f64 h (/.f64 #s(literal 1 binary64) l))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(/.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))) (/.f64 #s(literal 1 binary64) h))
(*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))) (neg.f64 h))
(/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h)
(/.f64 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))))
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (*.f64 h d)))
(*.f64 (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 d l)))
(sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))
(*.f64 (sqrt.f64 d) (sqrt.f64 h))
(pow.f64 (*.f64 h d) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 h d))
(fabs.f64 (sqrt.f64 (*.f64 h d)))
(*.f64 h d)
(*.f64 d h)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
(fabs.f64 (sqrt.f64 (/.f64 d l)))
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(*.f64 d (/.f64 #s(literal 1 binary64) l))
(/.f64 (neg.f64 d) (neg.f64 l))
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(/.f64 d l)
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)))
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l))
(*.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) (/.f64 #s(literal 1 binary64) l))
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))) (neg.f64 l))
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(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (*.f64 l d)))
(*.f64 (sqrt.f64 (*.f64 l d)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))
(*.f64 (sqrt.f64 d) (sqrt.f64 l))
(pow.f64 (*.f64 l d) #s(literal 1/2 binary64))
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(*.f64 l d)
(*.f64 d l)
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
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(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
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(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
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(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 d (/.f64 #s(literal 1 binary64) h))
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(/.f64 d h)
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (*.f64 d (/.f64 d (*.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)))
(pow.f64 (*.f64 d (/.f64 d (*.f64 l h))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h))))
(fabs.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
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(fabs.f64 (sqrt.f64 (/.f64 d h)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 d))
(fabs.f64 (sqrt.f64 (neg.f64 d)))
(neg.f64 d)
(pow.f64 (neg.f64 h) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 h))
(fabs.f64 (sqrt.f64 (neg.f64 h)))
(neg.f64 h)
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 d) (sqrt.f64 l))
(sqrt.f64 (/.f64 d l))
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(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h))))))
(fma.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) (*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h))))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 d (/.f64 d (*.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)))
(pow.f64 (*.f64 d (/.f64 d (*.f64 l h))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))
(/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h))))
(fabs.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h))))
(/.f64 (sqrt.f64 d) (sqrt.f64 h))
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))
(sqrt.f64 (/.f64 d h))
(fabs.f64 (sqrt.f64 (/.f64 d h)))
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)))) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.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 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) h) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l)))
(*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) h)
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) (*.f64 #s(literal -1/2 binary64) h))
(*.f64 h (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))))
(*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) #s(literal -1/2 binary64)) (*.f64 (+.f64 d d) (+.f64 d d)))
(*.f64 (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)) (pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(pow.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D M) D) M)) (neg.f64 (*.f64 (+.f64 d d) (+.f64 d d))))
(/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d d) (+.f64 d d)) (*.f64 (*.f64 (*.f64 D M) D) M)))
(exp.f64 (*.f64 (log.f64 (*.f64 M (/.f64 D (+.f64 d d)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 D M) D) M)
(*.f64 (*.f64 D D) (*.f64 M M))
(*.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 D M)))
(*.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 D M)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 D (*.f64 M (*.f64 D M)))
(pow.f64 (*.f64 D M) #s(literal 2 binary64))
(*.f64 D M)
(*.f64 M D)
(*.f64 (fabs.f64 (+.f64 d d)) (fabs.f64 (+.f64 d d)))
(*.f64 (neg.f64 (+.f64 d d)) (neg.f64 (+.f64 d d)))
(*.f64 (+.f64 d d) (+.f64 d d))
(pow.f64 (+.f64 d d) #s(literal 2 binary64))
(fma.f64 (+.f64 d d) d (*.f64 (+.f64 d d) d))
(fma.f64 d (+.f64 d d) (*.f64 d (+.f64 d d)))
(+.f64 (*.f64 (+.f64 d d) d) (*.f64 (+.f64 d d) d))
(+.f64 (*.f64 d (+.f64 d d)) (*.f64 d (+.f64 d d)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(-.f64 d (neg.f64 d))
(+.f64 d d)
#s(literal -1/2 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))
(pow.f64 l #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 l #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) l)

eval41.0ms (0.5%)

Memory
-0.9MiB live, 87.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 5 951 to 1 658 computations (72.1% saved)

prune57.0ms (0.7%)

Memory
11.4MiB live, 107.9MiB allocated; 17ms collecting garbage
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New38544429
Fresh17623
Picked415
Done000
Total40651457
Accuracy
86.3%
Counts
457 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
45.4%
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
22.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)))
28.9%
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) h) (/.f64 #s(literal 1 binary64) l) #s(literal 1 binary64)))
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)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.f64 h l))))
32.3%
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 d h)) 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))))
40.5%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
41.6%
(*.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 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
30.3%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l)))
23.3%
(*.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)))
27.8%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
53.7%
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.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))))
51.5%
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.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))))
27.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
27.9%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
10.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
17.2%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
27.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
0.0%
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) 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))))
68.9%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))
14.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
18.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
15.5%
#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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) h))
5.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
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)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) 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 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
10.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
17.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))))))
17.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h)))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
10.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
3.7%
#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 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))))
39.5%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
16.7%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
46.1%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
34.2%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
0.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
9.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
Compiler

Compiled 3 449 to 3 183 computations (7.7% saved)

series134.0ms (1.6%)

Memory
-3.9MiB live, 279.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05314603
Stop Event
iter-limit
Counts
61 → 133
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.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)))
(*.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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(literal -1 binary64)
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)
(*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 d l))
(*.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 D M)
(*.f64 (+.f64 d d) (+.f64 d d))
(+.f64 d d)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.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)))
(/.f64 d 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 (*.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 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))))
(*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(*.f64 M (/.f64 D (+.f64 d d)))
(/.f64 D (+.f64 d d))
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx d d)
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#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))
#s(approx (/ (sqrt (neg d)) (sqrt (neg h))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 d)) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h))))))
#s(approx (sqrt (neg h)) (*.f64 #s(literal -1 binary64) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)) l))
#s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))
#s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l))
#s(approx l l)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (* -1 (* d (sqrt (/ 1 (* h l))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (/.f64 (+.f64 l (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (pow.f64 l #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))) (/.f64 (*.f64 l (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l)))) (sqrt.f64 (neg.f64 h)))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 d l))) (*.f64 l (sqrt.f64 (neg.f64 h)))))
#s(approx (pow (/ d l) (/ 1 2)) (/.f64 (sqrt.f64 (*.f64 d l)) l))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (* d l)) (*.f64 l (sqrt.f64 (/.f64 d l))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h)))))
#s(approx (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
#s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 l (sqrt.f64 (/.f64 d l)))))
#s(approx (* M D) (*.f64 D M))
#s(approx M M)
#s(approx (* (* D M) (* D M)) (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h)))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))))))
#s(approx D D)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (neg.f64 h))))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (sqrt.f64 (neg.f64 h)))))))
Calls

15 calls:

TimeVariablePointExpression
13.0ms
d
@inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h 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)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* -1 (* d (sqrt (/ 1 (* h l))))) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* d l) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ (* d d) (* h l)))) (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ 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)) (/ d l) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)))
10.0ms
M
@inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h 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)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* -1 (* d (sqrt (/ 1 (* h l))))) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* d l) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ (* d d) (* h l)))) (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ 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)) (/ d l) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)))
9.0ms
d
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h 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)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* -1 (* d (sqrt (/ 1 (* h l))))) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* d l) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ (* d d) (* h l)))) (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ 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)) (/ d l) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)))
8.0ms
d
@0
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h 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)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* -1 (* d (sqrt (/ 1 (* h l))))) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* d l) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ (* d d) (* h l)))) (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ 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)) (/ d l) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)))
8.0ms
l
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h 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)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* -1 (* d (sqrt (/ 1 (* h l))))) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/ (* (sqrt (* d l)) (sqrt (/ d h))) l) (* (sqrt (* d l)) (sqrt (/ d h))) (sqrt (* d l)) (* d l) (sqrt (/ d h)) (/ d h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (sqrt (/ (* d d) (* h l)))) (+ (* (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ h l)) 1) (* (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) -1/2) (/ (* (* D M) (* D M)) (* (+ d d) (+ d d))) (* (* D M) (* D M)) (* D M) (* (+ d d) (+ d d)) (+ d d) -1/2 (sqrt (/ (* d d) (* h l))) (/ (* d d) (* h l)) (* d d) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ 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)) (/ d l) (- 1 (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l))) (* (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (/ h l)) (* (/ 1 2) (* (* M (/ D (+ d d))) (* M (/ D (+ d d))))) (* (* M (/ D (+ d d))) (* M (/ D (+ d d)))) (* M (/ D (+ d d))) (/ D (+ d d)))

rewrite44.0ms (0.5%)

Memory
32.5MiB live, 79.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081604
0130520
0432520
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
61 → 262
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.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)))
(*.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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
(*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(literal -1 binary64)
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)
(*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 d l))
(*.f64 d l)
(sqrt.f64 (/.f64 d h))
(/.f64 d h)
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d)))
(*.f64 (*.f64 D M) (*.f64 D M))
(*.f64 D M)
(*.f64 (+.f64 d d) (+.f64 d d))
(+.f64 d d)
#s(literal -1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))
(/.f64 (*.f64 d d) (*.f64 h l))
(*.f64 d d)
(*.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.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)))
(/.f64 d 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 (*.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 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d)))))
(*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))
(*.f64 M (/.f64 D (+.f64 d d)))
(/.f64 D (+.f64 d d))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
d
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l h)))
(pow.f64 (*.f64 l h) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) h) l)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l h) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 l h))
#s(literal 1 binary64)
(*.f64 l h)
(*.f64 h l)
h
l
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.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 (*.f64 D M) D) M) (*.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 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.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 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))))
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.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 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))) (/.f64 h l)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) (/.f64 h l))))
(*.f64 (/.f64 h l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.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 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) (/.f64 h l)))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) M) (/.f64 D (+.f64 d d)))
(*.f64 (*.f64 M M) (*.f64 (/.f64 D (+.f64 d d)) (/.f64 D (+.f64 d d))))
(*.f64 (pow.f64 (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (*.f64 (/.f64 D (+.f64 d d)) M)) (fabs.f64 (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (neg.f64 (*.f64 (/.f64 D (+.f64 d d)) M)) (neg.f64 (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (*.f64 (/.f64 D (+.f64 d d)) M) (*.f64 (/.f64 D (+.f64 d d)) M))
(*.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d))))
(*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))
(pow.f64 (*.f64 (/.f64 D (+.f64 d d)) M) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D M) D) M)) (neg.f64 (*.f64 (+.f64 d d) (+.f64 d d))))
(/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d d) (+.f64 d d)) (*.f64 (*.f64 (*.f64 D M) D) M)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D (+.f64 d d)) M)) #s(literal 2 binary64)))
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))
(*.f64 (/.f64 D (+.f64 d d)) M)
(*.f64 (*.f64 D M) (/.f64 #s(literal 1 binary64) (+.f64 d d)))
(*.f64 M (/.f64 D (+.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) (/.f64 (+.f64 d d) (*.f64 D M)))
(*.f64 D M)
(*.f64 M D)
M
D
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d d)) d)
(*.f64 #s(literal 2 binary64) d)
(*.f64 d #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d))))
(-.f64 d (neg.f64 d))
(+.f64 d d)
(*.f64 h (/.f64 #s(literal 1 binary64) l))
(/.f64 (neg.f64 h) (neg.f64 l))
(/.f64 #s(literal 1 binary64) (/.f64 l h))
(/.f64 h l)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #s(literal -1 binary64))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d))
#s(literal -1 binary64)
(*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) #s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l))
(*.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) (/.f64 #s(literal 1 binary64) l))
(*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))) (neg.f64 l))
(/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)
(/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (*.f64 l d)))
(*.f64 (sqrt.f64 (*.f64 l d)) (sqrt.f64 (/.f64 d h)))
(sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))
(*.f64 (sqrt.f64 d) (sqrt.f64 l))
(pow.f64 (*.f64 l d) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 l d))
(fabs.f64 (sqrt.f64 (*.f64 l d)))
(*.f64 l d)
(*.f64 d l)
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(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h))))
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eval39.0ms (0.5%)

Memory
-10.7MiB live, 84.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 4 525 to 1 587 computations (64.9% saved)

prune61.0ms (0.7%)

Memory
-38.5MiB live, 122.1MiB allocated; 16ms collecting garbage
Pruning

61 alts after pruning (58 fresh and 3 done)

PrunedKeptTotal
New29927326
Fresh143145
Picked325
Done011
Total31661377
Accuracy
86.3%
Counts
377 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 l h))))
37.8%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
45.2%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
45.4%
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
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)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.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)) (*.f64 (*.f64 M (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) D))) (*.f64 M (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 d d) D))))) (/.f64 h l))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d 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))))
40.5%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
30.3%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l)))
23.3%
(*.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)))
27.8%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
51.5%
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.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))))
0.0%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
10.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
17.2%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
16.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
15.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
4.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
13.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
3.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
17.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
3.7%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
17.8%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
17.9%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
16.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
61.2%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
68.2%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
69.3%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
24.6%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
36.5%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 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))))
14.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
18.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
15.5%
#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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) h))
5.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
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)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) 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 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) h))
10.9%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))))))
17.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h)))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
10.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
3.7%
#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 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))))
39.5%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
16.7%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
34.2%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
9.2%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
9.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)))))
17.1%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
20.8%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
16.3%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
20.4%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
9.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
Compiler

Compiled 3 976 to 3 706 computations (6.8% saved)

series148.0ms (1.8%)

Memory
2.5MiB live, 240.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03943137
Stop Event
iter-limit
Counts
54 → 101
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M))
#s(literal 1/2 binary64)
(*.f64 (/.f64 D (+.f64 d d)) M)
(/.f64 D (+.f64 d d))
D
(+.f64 d d)
M
(/.f64 h l)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(neg.f64 (*.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))
(*.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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h))
(sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))
(*.f64 (*.f64 h d) (/.f64 d l))
(*.f64 h d)
(/.f64 d l)
(/.f64 #s(literal 1 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 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h)
(*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
(sqrt.f64 (*.f64 d h))
(*.f64 d h)
#s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
(*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))
#s(literal -1 binary64)
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (*.f64 d l))
(*.f64 d l)
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
#s(approx d d)
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (/.f64 (-.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) l))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (* (/ D (+ d d)) M) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)))
#s(approx (/ D (+ d d)) (*.f64 #s(literal 1/2 binary64) (/.f64 D d)))
#s(approx (+ d d) (*.f64 #s(literal 2 binary64) d))
#s(approx (neg (* (sqrt (/ 1 (* l h))) d)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
#s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))
#s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l))))
#s(approx (* (* h d) (/ d l)) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l))
#s(approx (* h d) (*.f64 d h))
#s(approx (/ d l) (/.f64 d l))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))))
#s(approx (sqrt (* d h)) (sqrt.f64 (*.f64 d h)))
#s(approx (sqrt (/ d l)) (sqrt.f64 (/.f64 d l)))
#s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))
#s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 d l)) d))
#s(approx (/ 1 (* d l)) (/.f64 #s(literal 1 binary64) (*.f64 d l)))
#s(approx (* d l) (*.f64 d l))
#s(approx (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* (/ D (+ d d)) (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) M) (pow.f64 d #s(literal 2 binary64)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d)))) h))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d)))))
#s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d))))
#s(approx (sqrt (/ d l)) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))
#s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
#s(approx (sqrt (/ 1 (* d l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l)))))
#s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (/.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))) h))
#s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h))
#s(approx (/ 1 (* h l)) (/.f64 #s(literal 1 binary64) (*.f64 h l)))
#s(approx (* h l) (*.f64 h l))
#s(approx h h)
#s(approx (/ h l) (/.f64 h l))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l)))) h))
#s(approx (sqrt (* (* h d) (/ d l))) (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)))
#s(approx (/ 1 h) (/.f64 #s(literal 1 binary64) h))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) h))))
#s(approx (sqrt (/ (* d d) (* h l))) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))
#s(approx (sqrt (/ 1 (* h l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (*.f64 h (-.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h))))
#s(approx (sqrt (* (* h d) (/ d l))) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (sqrt (* d h)) (*.f64 h (sqrt.f64 (/.f64 d h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 h (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 #s(literal 1 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 #s(literal -1 binary64) (*.f64 h (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) h) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))))
#s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))
#s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
#s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 h (sqrt.f64 (/.f64 d h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (sqrt (/ (* d d) (* h l))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) l) h)) l))
#s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))
#s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l))
#s(approx l l)
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l))
#s(approx (neg (* (sqrt (/ 1 (* l h))) d)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 l #s(literal 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)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h)))))) (pow.f64 d #s(literal 2 binary64))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))))) (pow.f64 l #s(literal 2 binary64))))
#s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (*.f64 h l)))
#s(approx (sqrt (* (* h d) (/ d l))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) l))
#s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (*.f64 d l))) (*.f64 h l)))
#s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (*.f64 d l))) l))
#s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))
#s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l)))
#s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))
#s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (+.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx M M)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 M #s(literal 2 binary64))))))
#s(approx D D)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))) (pow.f64 D #s(literal 2 binary64))))))
#s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) h) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 D #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (pow.f64 D #s(literal 2 binary64))))))
Calls

15 calls:

TimeVariablePointExpression
21.0ms
h
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h l (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* 1/2 (* (/ D (+ d d)) M)) 1/2 (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) M (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (/ 1 (* l h))) d)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (/ 1 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (* -1 (* d (sqrt (/ 1 (* d l))))) -1 (* d (sqrt (/ 1 (* d l)))) (sqrt (/ 1 (* d l))) (/ 1 (* d l)) (* d l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ 1 2) 2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)))
17.0ms
d
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h l (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* 1/2 (* (/ D (+ d d)) M)) 1/2 (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) M (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (/ 1 (* l h))) d)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (/ 1 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (* -1 (* d (sqrt (/ 1 (* d l))))) -1 (* d (sqrt (/ 1 (* d l)))) (sqrt (/ 1 (* d l))) (/ 1 (* d l)) (* d l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ 1 2) 2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)))
11.0ms
D
@0
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h l (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* 1/2 (* (/ D (+ d d)) M)) 1/2 (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) M (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (/ 1 (* l h))) d)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (/ 1 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (* -1 (* d (sqrt (/ 1 (* d l))))) -1 (* d (sqrt (/ 1 (* d l)))) (sqrt (/ 1 (* d l))) (/ 1 (* d l)) (* d l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ 1 2) 2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)))
9.0ms
l
@-inf
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h l (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* 1/2 (* (/ D (+ d d)) M)) 1/2 (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) M (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (/ 1 (* l h))) d)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (/ 1 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (* -1 (* d (sqrt (/ 1 (* d l))))) -1 (* d (sqrt (/ 1 (* d l)))) (sqrt (/ 1 (* d l))) (/ 1 (* d l)) (* d l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ 1 2) 2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)))
9.0ms
d
@0
((* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)))) (sqrt (/ (* d d) (* h l))) (* d (sqrt (/ 1 (* h l)))) d (sqrt (/ 1 (* h l))) (/ 1 (* h l)) 1 (* h l) h l (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l)) (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (* 1/2 (* (/ D (+ d d)) M)) 1/2 (* (/ D (+ d d)) M) (/ D (+ d d)) D (+ d d) M (/ h l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (/ 1 (* l h))) d)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (sqrt (* (* h d) (/ d l))) (* (* h d) (/ d l)) (* h d) (/ d l) (/ 1 h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (* (sqrt (* d h)) (sqrt (/ d l))) (sqrt (* d h)) (* d h) (sqrt (/ d l)) (* -1 (* d (sqrt (/ 1 (* d l))))) -1 (* d (sqrt (/ 1 (* d l)))) (sqrt (/ 1 (* d l))) (/ 1 (* d l)) (* d l) (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)))) (- 1 (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l))) (* (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ h l)) (* (/ 1 2) (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M)))) (/ 1 2) 2 (* M (* (/ D (+ d d)) (* (/ D (+ d d)) M))) (* (/ D (+ d d)) (* (/ D (+ d d)) M)))

rewrite41.0ms (0.5%)

Memory
24.9MiB live, 71.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075601
0117532
0422532
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
54 → 178
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
#s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))
d
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))
(/.f64 #s(literal 1 binary64) (*.f64 h l))
#s(literal 1 binary64)
(*.f64 h l)
h
l
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M))
#s(literal 1/2 binary64)
(*.f64 (/.f64 D (+.f64 d d)) M)
(/.f64 D (+.f64 d d))
D
(+.f64 d d)
M
(/.f64 h l)
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(neg.f64 (*.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))
(*.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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h))
(sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l)))
(*.f64 (*.f64 h d) (/.f64 d l))
(*.f64 h d)
(/.f64 d l)
(/.f64 #s(literal 1 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 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
(/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h)
(*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
(sqrt.f64 (*.f64 d h))
(*.f64 d h)
#s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))
(*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))
#s(literal -1 binary64)
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))
(/.f64 #s(literal 1 binary64) (*.f64 d l))
(*.f64 d l)
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))
(*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
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eval35.0ms (0.4%)

Memory
-21.7MiB live, 73.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 3 681 to 1 381 computations (62.5% saved)

prune97.0ms (1.2%)

Memory
27.9MiB live, 167.5MiB allocated; 11ms collecting garbage
Pruning

68 alts after pruning (63 fresh and 5 done)

PrunedKeptTotal
New24925274
Fresh153853
Picked325
Done033
Total26768335
Accuracy
88.9%
Counts
335 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.8%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
45.2%
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
45.4%
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
68.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
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)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
0.0%
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d 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))))
40.5%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
30.3%
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l)))
23.3%
(*.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)))
27.8%
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
51.5%
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.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))))
0.0%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
10.6%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
17.2%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
16.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
15.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
4.3%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
3.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
3.7%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
16.5%
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
75.2%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
70.1%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1/2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 h l)))))
69.0%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
24.6%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)))))
40.6%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64)))
32.6%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
36.5%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
31.8%
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
14.3%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
5.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
5.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d)))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
17.7%
#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 (*.f64 d h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
5.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
5.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) l)))))) h))
3.1%
#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 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
3.1%
#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 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
3.8%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
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)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) 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 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
11.5%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))))))
17.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 binary64) h)))
20.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 binary64) h)))
17.0%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
5.6%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d))) d))) h)))
22.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 binary64) h)))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 binary64) h)))
10.2%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l))))
17.9%
#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 h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
3.7%
#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 (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))))
22.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
20.4%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
12.7%
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
0.0%
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 l (sqrt.f64 (/.f64 #s(literal -1 binary64) h)))))))
39.5%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d))
34.2%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
9.2%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
9.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)))))
17.1%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
20.8%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
16.3%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
9.6%
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
Compiler

Compiled 4 058 to 2 840 computations (30% saved)

regimes261.0ms (3.1%)

Memory
20.7MiB live, 733.1MiB allocated; 59ms collecting garbage
Counts
125 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) 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 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) (pow.f64 d #s(literal 2 binary64))))
(*.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 l (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) h)) (pow.f64 d #s(literal 2 binary64))))) l)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) (*.f64 (pow.f64 d #s(literal 2 binary64)) l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l)))))))
Outputs
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
Calls

7 calls:

49.0ms
M
40.0ms
D
36.0ms
(*.f64 M D)
35.0ms
l
33.0ms
d
Results
AccuracySegmentsBranch
75.2%1(*.f64 M D)
78.1%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))))
75.2%1d
75.2%1h
75.2%1l
75.2%1M
75.2%1D
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes33.0ms (0.4%)

Memory
-26.6MiB live, 115.4MiB allocated; 11ms collecting garbage
Counts
96 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) 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 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1/2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 h l)))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 d d)) (sqrt.f64 (*.f64 l h))))
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h))) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
(*.f64 (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 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 M (*.f64 (/.f64 D (+.f64 d d)) (*.f64 (/.f64 D (+.f64 d d)) M)))) (/.f64 h l))))
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 (sqrt.f64 (*.f64 d (/.f64 d (*.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 (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))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 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))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) (/.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 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d 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 (*.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))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 D #s(literal 2 binary64)) (*.f64 (pow.f64 M #s(literal 2 binary64)) (*.f64 h (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) (*.f64 d l))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
(*.f64 #s(approx (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (*.f64 h (sqrt.f64 (/.f64 #s(literal -1 binary64) 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 (/.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)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (*.f64 M (/.f64 D (+.f64 d d))))) (/.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)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (+.f64 d d)) (+.f64 d d))) (/.f64 h l))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Outputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
Calls

1 calls:

23.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Results
AccuracySegmentsBranch
77.0%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 31 to 22 computations (29% saved)

regimes117.0ms (1.4%)

Memory
3.4MiB live, 301.8MiB allocated; 74ms collecting garbage
Counts
71 → 1
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) 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 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) (/.f64 h l))) #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) #s(literal 1/2 binary64)) (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 h l)))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D (+.f64 d d)) M)) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
Outputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 M (/.f64 D (+.f64 d d))) (/.f64 D (+.f64 d d))) M) #s(literal 1/2 binary64)) h) l)))
Calls

5 calls:

36.0ms
M
22.0ms
d
20.0ms
D
18.0ms
(*.f64 M D)
15.0ms
(*.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
75.2%1(*.f64 M D)
75.2%1d
75.2%1M
75.2%1D
75.2%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)

regimes174.0ms (2.1%)

Memory
13.1MiB live, 417.6MiB allocated; 112ms collecting garbage
Counts
66 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) 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 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 l h)))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 d h) (/.f64 d l))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) D) M) (*.f64 (+.f64 d d) (+.f64 d d))) #s(literal 1/2 binary64)) h) l)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) (/.f64 (*.f64 D M) (*.f64 (+.f64 d d) (+.f64 d d)))) #s(literal 1/2 binary64)) h) l)))
Outputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* 1/2 (* (/ D (+ d d)) M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 D M) d))) (*.f64 (/.f64 D (+.f64 d d)) M)) (/.f64 h l))))
Calls

7 calls:

26.0ms
l
26.0ms
h
23.0ms
D
21.0ms
d
20.0ms
(*.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
69.0%1h
69.0%1l
73.2%2(*.f64 M D)
69.0%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))))
69.0%1d
71.3%2M
72.4%2D
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes173.0ms (2.1%)

Memory
43.5MiB live, 317.0MiB allocated; 123ms 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 (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) h) l)) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d 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 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) 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 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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)))) (/.f64 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))) (sqrt.f64 (/.f64 h d))))) h))
Outputs
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 h l))))))
Calls

7 calls:

62.0ms
d
22.0ms
(*.f64 M D)
20.0ms
D
18.0ms
M
18.0ms
l
Results
AccuracySegmentsBranch
40.6%1h
40.6%1l
45.9%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))))
40.6%1d
44.3%2M
44.1%2D
46.6%2(*.f64 M D)
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes38.0ms (0.5%)

Memory
-18.5MiB live, 73.0MiB allocated; 25ms collecting garbage
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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 (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l h))) l))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 h l)) h)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* h l))) (/.f64 (sqrt.f64 (/.f64 l h)) l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 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(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (*.f64 #s(literal -1 binary64) (/.f64 (*.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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 d (sqrt.f64 (/.f64 h l)))) (/.f64 #s(literal 1 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 (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 (sqrt.f64 (*.f64 (/.f64 d l) (*.f64 h d))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.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)))) (*.f64 (sqrt.f64 (*.f64 h d)) (/.f64 (sqrt.f64 (/.f64 d l)) h)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
#s(approx (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 h))))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d 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 #s(approx (sqrt (* (* h d) (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h l))))) (/.f64 #s(literal 1 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 (sqrt.f64 (*.f64 (*.f64 h d) (/.f64 d l))) (/.f64 #s(literal 1 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 (sqrt.f64 (/.f64 (*.f64 (*.f64 h d) d) l)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 h (sqrt.f64 (*.f64 (*.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)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.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 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) #s(approx (* -1 (* d (sqrt (/ 1 (* d l))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (/.f64 (sqrt.f64 (*.f64 d l)) l))) 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 h)) (sqrt.f64 (*.f64 d (/.f64 #s(literal 1 binary64) l)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (*.f64 l d)) (/.f64 (sqrt.f64 (/.f64 d h)) l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (sqrt.f64 (/.f64 d 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 d (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d)))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(literal 1 binary64) (/.f64 l (sqrt.f64 (*.f64 (*.f64 l d) (/.f64 d h)))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) #s(approx (sqrt (/ d h)) (/.f64 (sqrt.f64 (*.f64 d h)) 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 #s(approx (* (sqrt (* d h)) (sqrt (/ d l))) (*.f64 #s(literal -1 binary64) (*.f64 h (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(approx (sqrt (* d h)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 h d))))) (sqrt.f64 (/.f64 d l))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 d (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 d h))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d l)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (*.f64 (sqrt.f64 (*.f64 h d)) #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 h d)) (/.f64 #s(approx (sqrt (/ d l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l d))))))) h))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 #s(approx (* (sqrt (* d l)) (sqrt (/ d h))) (*.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))) l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)))
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (/.f64 (*.f64 #s(approx (sqrt (* d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 l d))))) (sqrt.f64 (/.f64 d 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 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* d l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 l d))) l))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d #s(approx (sqrt (/ 1 (* d l))) (/.f64 (sqrt.f64 (/.f64 l d)) l)))))) h))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 d h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 (sqrt.f64 d) (sqrt.f64 h)) #s(approx (sqrt (/ d l)) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d l))))))) h))
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) #s(approx (* d (sqrt (/ 1 (* h l)))) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64)))
Calls

2 calls:

20.0ms
(*.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))))
15.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
44.6%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))))
43.5%2(*.f64 M D)
Compiler

Compiled 34 to 28 computations (17.6% saved)

regimes8.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ 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)))
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
(*.f64 #s(approx (sqrt (/ (* d d) (* h l))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (- 1 (* (* (* 1/2 (* (/ D (+ d d)) M)) (* (/ D (+ d d)) M)) (/ h l))) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
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
40.6%1D
42.4%2M
43.8%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))))
Compiler

Compiled 33 to 32 computations (3% saved)

regimes17.0ms (0.2%)

Memory
-1.7MiB live, 43.7MiB allocated; 6ms 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 (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (/ (* (sqrt (* d h)) (sqrt (/ d l))) h) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(literal -1 binary64) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))))
Outputs
#s(approx (* (sqrt (/ (* d d) (* h l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)))
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(approx (* (sqrt (* (* h d) (/ d l))) (/ 1 h)) (/.f64 (*.f64 d (sqrt.f64 (/.f64 h l))) h)))
Calls

7 calls:

5.0ms
(*.f64 M D)
2.0ms
M
2.0ms
l
2.0ms
h
2.0ms
D
Results
AccuracySegmentsBranch
24.2%2D
22.4%1d
26.0%3h
22.4%1l
22.4%1M
24.3%2(*.f64 M D)
25.3%2(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
Compiler

Compiled 39 to 53 computations (-35.9% saved)

regimes8.0ms (0.1%)

Memory
-26.7MiB live, 19.0MiB allocated; 5ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

4.0ms
D
1.0ms
d
1.0ms
h
1.0ms
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))))
1.0ms
(*.f64 M D)
Results
AccuracySegmentsBranch
22.4%1d
22.4%1D
22.4%1(*.f64 M D)
22.4%1h
22.4%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)

bsearch1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0421832470156057e+221
+inf
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.401137641082197e+26
2.0853914102501677e+27
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1664443074775693e-158
2.519109161224472e-156
Compiler

Compiled 38 to 30 computations (21.1% saved)

bsearch460.0ms (5.5%)

Memory
-33.5MiB live, 70.1MiB allocated; 946ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
455.0ms
6.758395393254725e+175
9.68134423508639e+177
Samples
433.0ms109×0invalid
14.0ms112×0valid
Compiler

Compiled 521 to 485 computations (6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 440.0ms
ival-mult!: 428.0ms (97.2% of total)
ival-pow: 5.0ms (1.1% of total)
ival-div!: 5.0ms (1.1% of total)
ival-pow2: 2.0ms (0.5% of total)
ival-sub!: 1.0ms (0.2% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.306800575276292e+77
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.306800575276292e+77
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.306800575276292e+77
0.0
Compiler

Compiled 34 to 30 computations (11.8% saved)

derivations33.0ms (0.4%)

Memory
-21.2MiB live, 51.6MiB allocated; 17ms collecting garbage
Stop Event
fuel
Compiler

Compiled 202 to 140 computations (30.7% saved)

preprocess214.0ms (2.5%)

Memory
-3.7MiB live, 495.0MiB allocated; 123ms collecting garbage
Remove

(sort M D)

(abs D)

(abs M)

(abs d)

Compiler

Compiled 6 721 to 5 448 computations (18.9% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...