Optimal throwing angle

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze53.0ms (2%)

Memory
-4.4MiB live, 43.5MiB allocated; 38ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample2.0s (74.2%)

Memory
-45.0MiB live, 1 117.1MiB allocated; 1.6s collecting garbage
Samples
1.7s8 256×0valid
5.0ms99×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult!: 975.0ms (68% of total)
ival-div!: 290.0ms (20.2% of total)
ival-atan: 75.0ms (5.2% of total)
ival-sqrt: 68.0ms (4.7% of total)
ival-sub!: 24.0ms (1.7% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess56.0ms (2.1%)

Memory
-32.0MiB live, 19.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03270
111668
234568
388468
4230168
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Symmetry

(negabs v)

Compiler

Compiled 22 to 22 computations (0% saved)

series16.0ms (0.6%)

Memory
21.5MiB live, 21.5MiB allocated; 0ms collecting garbage
Counts
11 → 54
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
3.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
3.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
2.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
1.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)

rewrite35.0ms (1.3%)

Memory
-3.0MiB live, 43.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03902001
04001934
Stop Event
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
65 → 65
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 v v)
(*.f64 #s(literal 98/5 binary64) H)
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(approx (* (* 2 49/5) H) (*.f64 #s(literal 98/5 binary64) H))
#s(approx H H)
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))))

eval8.0ms (0.3%)

Memory
12.0MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 206 to 459 computations (61.9% saved)

prune5.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh000
Picked101
Done000
Total54761
Accuracy
100.0%
Counts
61 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
57.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
▶35.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶77.6%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
▶71.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶1.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
66.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
Compiler

Compiled 208 to 208 computations (0% saved)

series15.0ms (0.6%)

Memory
-23.1MiB live, 23.3MiB allocated; 2ms collecting garbage
Counts
28 → 60
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
#s(literal -49/5 binary64)
(/.f64 H v)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 v v)
(*.f64 #s(literal 98/5 binary64) H)
#s(literal 98/5 binary64)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* 98/5 H) #s(hole binary64 (* 98/5 H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5)
2.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5)
2.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5)
2.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5)
2.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ v (* -49/5 (/ H v))) (* -49/5 (/ H v)) -49/5 (/ H v) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* 98/5 H))))) (/ v (sqrt (- (* v v) (* 98/5 H)))) (sqrt (- (* v v) (* 98/5 H))) (- (* v v) (* 98/5 H)) (* v v) (* 98/5 H) 98/5)

rewrite34.0ms (1.3%)

Memory
-2.6MiB live, 43.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04212276
04392207
Stop Event
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
88 → 88
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
#s(literal -49/5 binary64)
(/.f64 H v)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 v v)
(*.f64 #s(literal 98/5 binary64) H)
#s(literal 98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* 98/5 H) #s(hole binary64 (* 98/5 H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ v (* -49/5 (/ H v))) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
#s(literal -49/5 binary64)
(/.f64 H v)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 v v)
(*.f64 #s(literal 98/5 binary64) H)
#s(literal 98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))))))))))
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
#s(approx (+ v (* -49/5 (/ H v))) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (pow.f64 v #s(literal 2 binary64))) v))
#s(approx (/ H v) (/.f64 H v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx H H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(approx (* 98/5 H) (*.f64 #s(literal 98/5 binary64) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))))
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 H (-.f64 (/.f64 v H) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))))
#s(approx (+ v (* -49/5 (/ H v))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1 binary64) (/.f64 v H) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))))

eval8.0ms (0.3%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 212 to 494 computations (59.2% saved)

prune3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New58058
Fresh022
Picked055
Done000
Total58765
Accuracy
100.0%
Counts
65 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
▶57.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
✓35.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓77.6%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
✓71.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓1.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶66.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
Compiler

Compiled 104 to 104 computations (0% saved)

series112.0ms (4.2%)

Memory
-20.0MiB live, 29.7MiB allocated; 104ms collecting garbage
Counts
20 → 96
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))
v
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))
#s(literal -98/5 binary64)
H
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
(*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))
(/.f64 (pow.f64 v #s(literal 2 binary64)) H)
#s(literal 98/5 binary64)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (pow v 2) #s(hole binary64 (pow v 2)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 -98/5))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (/ (pow v 2) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx H #s(hole binary64 H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
Calls

6 calls:

TimeVariablePointExpression
97.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* H (- (/ (pow v 2) H) 98/5)) (- (/ (pow v 2) H) 98/5) (/ (pow v 2) H) 98/5)
4.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* H (- (/ (pow v 2) H) 98/5)) (- (/ (pow v 2) H) 98/5) (/ (pow v 2) H) 98/5)
3.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* H (- (/ (pow v 2) H) 98/5)) (- (/ (pow v 2) H) 98/5) (/ (pow v 2) H) 98/5)
2.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* H (- (/ (pow v 2) H) 98/5)) (- (/ (pow v 2) H) 98/5) (/ (pow v 2) H) 98/5)
2.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) 1 (+ (* -98/5 H) (pow v 2)) -98/5 H (pow v 2) 2 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* H (- (/ (pow v 2) H) 98/5)) (- (/ (pow v 2) H) 98/5) (/ (pow v 2) H) 98/5)

rewrite46.0ms (1.7%)

Memory
13.6MiB live, 61.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05903677
06113561
Stop Event
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
116 → 117
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))
v
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))
#s(literal -98/5 binary64)
H
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
(*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))
(/.f64 (pow.f64 v #s(literal 2 binary64)) H)
#s(literal 98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (pow v 2) #s(hole binary64 (pow v 2)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 -98/5))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (/ (pow v 2) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx H #s(hole binary64 H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (/ (pow v 2) H) 98/5) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))
v
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (pow.f64 v #s(literal 2 binary64)))
#s(literal -98/5 binary64)
H
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
(*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))
(/.f64 (pow.f64 v #s(literal 2 binary64)) H)
#s(literal 98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))))
#s(approx v v)
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 4 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* -98/5 H) (pow v 2)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(approx (pow v 2) (pow.f64 v #s(literal 2 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))
#s(approx (- (/ (pow v 2) H) 98/5) #s(literal -98/5 binary64))
#s(approx (- (/ (pow v 2) H) 98/5) (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))
#s(approx (/ (pow v 2) H) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal 1 binary64))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal 1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (- (/ (pow v 2) H) 98/5) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal -1 binary64))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 7 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (*.f64 #s(literal 9604/25 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx H H)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64)))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 H (-.f64 (*.f64 H (-.f64 (*.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64)))) (*.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))))))
#s(approx (- (/ (pow v 2) H) 98/5) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) H))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)) #s(literal 5/98 binary64)) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64)))) (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64)))) (+.f64 #s(literal 5/98 binary64) (fma.f64 #s(literal 125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))) H))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H)) (*.f64 #s(literal -125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 #s(literal -1 binary64) (*.f64 H (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))))

eval14.0ms (0.5%)

Memory
-21.6MiB live, 24.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 159 to 848 computations (60.7% saved)

prune4.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New96399
Fresh000
Picked022
Done055
Total9610106
Accuracy
100.0%
Counts
106 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
✓57.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
✓35.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓77.6%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
✓71.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓1.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓66.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
▶35.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
▶35.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
▶24.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
Compiler

Compiled 185 to 185 computations (0% saved)

series17.0ms (0.6%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Counts
33 → 76
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))
v
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
(-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))
(*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64))))
#s(literal -25/9604 binary64)
(/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 H #s(literal 2 binary64))
H
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))
#s(literal 5/98 binary64)
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (* -25/9604 (/ (pow v 2) (pow H 2))) #s(hole binary64 (* -25/9604 (/ (pow v 2) (pow H 2)))))
#s(approx (/ (pow v 2) (pow H 2)) #s(hole binary64 (/ (pow v 2) (pow H 2))))
#s(approx (pow v 2) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) #s(hole binary64 (* -1 (* (pow v 2) (+ (* 25/9604 (/ 1 (pow H 2))) (* 5/98 (/ 1 (* H (pow v 2)))))))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) #s(hole binary64 (/ (+ (* -5/98 H) (* -25/9604 (pow v 2))) (pow H 2))))
#s(approx (pow H 2) #s(hole binary64 (pow H 2)))
#s(approx H #s(hole binary64 H))
#s(approx (* 5/98 (/ 1 H)) #s(hole binary64 (/ 5/98 H)))
#s(approx (/ 1 H) #s(hole binary64 (/ 1 H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (* -25/9604 (/ (pow v 2) (pow H 2))) -25/9604 (/ (pow v 2) (pow H 2)) (pow v 2) 2 (pow H 2) H (* 5/98 (/ 1 H)) 5/98 (/ 1 H) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
3.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (* -25/9604 (/ (pow v 2) (pow H 2))) -25/9604 (/ (pow v 2) (pow H 2)) (pow v 2) 2 (pow H 2) H (* 5/98 (/ 1 H)) 5/98 (/ 1 H) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
2.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (* -25/9604 (/ (pow v 2) (pow H 2))) -25/9604 (/ (pow v 2) (pow H 2)) (pow v 2) 2 (pow H 2) H (* 5/98 (/ 1 H)) 5/98 (/ 1 H) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
2.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (* -25/9604 (/ (pow v 2) (pow H 2))) -25/9604 (/ (pow v 2) (pow H 2)) (pow v 2) 2 (pow H 2) H (* 5/98 (/ 1 H)) 5/98 (/ 1 H) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
2.0ms
H
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (* -25/9604 (/ (pow v 2) (pow H 2))) -25/9604 (/ (pow v 2) (pow H 2)) (pow v 2) 2 (pow H 2) H (* 5/98 (/ 1 H)) 5/98 (/ 1 H) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/ 1 (+ (* -98/5 H) (pow v 2))) (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)

rewrite39.0ms (1.5%)

Memory
-10.9MiB live, 35.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04833203
05033026
Stop Event
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
109 → 109
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))
v
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
(-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))
(*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64))))
#s(literal -25/9604 binary64)
(/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 H #s(literal 2 binary64))
H
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))
#s(literal 5/98 binary64)
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (* -25/9604 (/ (pow v 2) (pow H 2))) #s(hole binary64 (* -25/9604 (/ (pow v 2) (pow H 2)))))
#s(approx (/ (pow v 2) (pow H 2)) #s(hole binary64 (/ (pow v 2) (pow H 2))))
#s(approx (pow v 2) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) #s(hole binary64 (* -1 (* (pow v 2) (+ (* 25/9604 (/ 1 (pow H 2))) (* 5/98 (/ 1 (* H (pow v 2)))))))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 -1))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) #s(hole binary64 (/ (+ (* -5/98 H) (* -25/9604 (pow v 2))) (pow H 2))))
#s(approx (pow H 2) #s(hole binary64 (pow H 2)))
#s(approx H #s(hole binary64 H))
#s(approx (* 5/98 (/ 1 H)) #s(hole binary64 (/ 5/98 H)))
#s(approx (/ 1 H) #s(hole binary64 (/ 1 H)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))
v
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
(-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H)))
(*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64))))
#s(literal -25/9604 binary64)
(/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))
(pow.f64 v #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 H #s(literal 2 binary64))
H
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))
#s(literal 5/98 binary64)
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 2 binary64)) (*.f64 #s(literal 98/5 binary64) H)))))))
#s(approx (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))))
#s(approx v v)
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/19208 binary64) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (*.f64 H (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 625/92236816 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 4 binary64)))) (*.f64 #s(literal 125/941192 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64)))))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))
#s(approx (* -25/9604 (/ (pow v 2) (pow H 2))) (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))))
#s(approx (/ (pow v 2) (pow H 2)) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64))))
#s(approx (pow v 2) (pow.f64 v #s(literal 2 binary64)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* -98/5 H) (pow v 2)) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal 1 binary64))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal 1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (pow.f64 H #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) (*.f64 H (pow.f64 v #s(literal 2 binary64)))))))))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) #s(literal -1 binary64))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 H (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64))))))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -9604/25 binary64) (pow.f64 H #s(literal 2 binary64)) (*.f64 #s(literal 2401/25 binary64) (pow.f64 H #s(literal 2 binary64)))) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))))) v)))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (+.f64 #s(literal 1 binary64) (*.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (pow.f64 v #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 7 binary64))) (*.f64 #s(literal 7203/50 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 5 binary64))))) (*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 #s(literal 98/5 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 #s(literal 9604/25 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (*.f64 #s(literal 9604/25 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (/.f64 (fma.f64 #s(literal -5/98 binary64) H (*.f64 #s(literal -25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) (pow.f64 H #s(literal 2 binary64))))
#s(approx (pow H 2) (pow.f64 H #s(literal 2 binary64)))
#s(approx H H)
#s(approx (* 5/98 (/ 1 H)) (/.f64 #s(literal 5/98 binary64) H))
#s(approx (/ 1 H) (/.f64 #s(literal 1 binary64) H))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)) #s(literal 5/98 binary64)) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64)))) (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H)))) H))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 (-.f64 (*.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64)))) (+.f64 #s(literal 5/98 binary64) (fma.f64 #s(literal 125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))) H))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 125/1882384 binary64) (*.f64 (sqrt.f64 H) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (pow.f64 v #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (pow.f64 H #s(literal 3 binary64))) (fma.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal 25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 5/98 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H)) (*.f64 #s(literal -125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H)) (*.f64 #s(literal 25/9604 binary64) (pow.f64 v #s(literal 2 binary64)))) H))) H)))
#s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -1 binary64) (*.f64 H (+.f64 #s(literal 98/5 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) H))))))

eval16.0ms (0.6%)

Memory
-26.8MiB live, 21.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 702 to 713 computations (58.1% saved)

prune7.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New76177
Fresh000
Picked033
Done077
Total761187
Accuracy
100.0%
Counts
87 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
✓57.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
✓35.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓77.6%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
✓71.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓1.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓66.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
✓35.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
✓35.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
✓24.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
11.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) (*.f64 H (pow.f64 v #s(literal 2 binary64))))))))))))))
Compiler

Compiled 386 to 343 computations (11.1% saved)

regimes21.0ms (0.8%)

Memory
-12.6MiB live, 33.4MiB allocated; 4ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H (-.f64 (/.f64 (pow.f64 v #s(literal 2 binary64)) H) #s(literal 98/5 binary64)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (-.f64 (*.f64 #s(literal -25/9604 binary64) (/.f64 (pow.f64 v #s(literal 2 binary64)) (pow.f64 H #s(literal 2 binary64)))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) H))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) #s(approx (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 2 binary64)) (fma.f64 #s(literal 25/9604 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 2 binary64))) (*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal 1 binary64) (*.f64 H (pow.f64 v #s(literal 2 binary64))))))))))))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
4.0ms
v
4.0ms
H
3.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
3.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
85.9%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
99.9%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.9%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
99.9%2v
85.9%2H
Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes8.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
v
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
99.9%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.9%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
99.9%2v
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes6.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
Outputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
Calls

3 calls:

2.0ms
v
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
99.4%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.4%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
92.2%2v
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (pow v 2)) (*.f64 #s(literal -98/5 binary64) H)))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
94.6%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
94.6%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 21 to 21 computations (0% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (pow v 2))) (/.f64 #s(literal -5/98 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
94.6%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
94.6%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 21 to 21 computations (0% saved)

regimes10.0ms (0.4%)

Memory
-29.2MiB live, 17.0MiB allocated; 4ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

4.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
v
1.0ms
H
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
71.4%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
71.4%1H
71.4%1v
71.4%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
71.4%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes5.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Calls

5 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
H
1.0ms
v
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
1.8%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
1.8%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.8%1v
1.8%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.8%1H
Compiler

Compiled 28 to 31 computations (-10.7% saved)

bsearch4.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
3.0ms
1.1551820338261195e+76
1.322276824491698e+76
Samples
2.0ms32×0valid
0.0ms3×0invalid
Compiler

Compiled 84 to 88 computations (-4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-atan: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.1551820338261195e+76
1.322276824491698e+76
Compiler

Compiled 60 to 64 computations (-6.7% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.009061069660298692
0.7853973541875652
0.0ms
0.0
5e-324
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.009061069660298692
0.7853973541875652
0.0ms
0.0
5e-324
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.009061069660298692
0.7853973541875652
0.0ms
0.0
5e-324
Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations9.0ms (0.3%)

Memory
-27.5MiB live, 19.6MiB allocated; 2ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 112 to 81 computations (27.7% saved)

preprocess130.0ms (4.9%)

Memory
34.2MiB live, 260.2MiB allocated; 54ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 577 to 500 computations (13.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...