Optimal throwing angle

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze29.0ms (1.4%)

Memory
-11.7MiB live, 32.8MiB allocated; 13ms collecting garbage
Algorithm
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)

sample935.0ms (44.4%)

Memory
44.2MiB live, 933.3MiB allocated; 183ms collecting garbage
Samples
539.0ms8 256×0valid
5.0ms104×0invalid
Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-atan: 112.0ms (33.1% of total)
ival-mult!: 86.0ms (25.4% of total)
ival-sqrt: 76.0ms (22.5% of total)
ival-div!: 44.0ms (13% of total)
ival-sub!: 17.0ms (5% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess61.0ms (2.9%)

Memory
2.9MiB live, 46.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03270
111668
234568
388468
4230168
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(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)

series75.0ms (3.6%)

Memory
-21.0MiB live, 26.2MiB allocated; 3ms 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
62.0ms
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)

rewrite102.0ms (4.8%)

Memory
3.0MiB live, 45.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03902001
04001934
110701934
Stop Event
saturated
iter-limit
unsound
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 (0.4%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 206 to 459 computations (61.9% saved)

prune5.0ms (0.2%)

Memory
7.3MiB live, 7.3MiB 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
65.1%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
45.9%
(atan.f64 (/.f64 v (sqrt.f64 #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))))))))))
37.9%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
73.1%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
69.5%
(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)))
65.0%
#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 214 to 212 computations (0.9% saved)

series67.0ms (3.2%)

Memory
-52.6MiB live, 20.3MiB allocated; 16ms 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
55.0ms
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)
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 (* -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)
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)

rewrite75.0ms (3.6%)

Memory
12.6MiB live, 57.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04212276
04392207
111422207
Stop Event
saturated
iter-limit
unsound
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 (0.4%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 210 to 493 computations (59.3% saved)

prune3.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB 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
65.1%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
45.9%
(atan.f64 (/.f64 v (sqrt.f64 #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))))))))))
37.9%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
73.1%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
69.5%
(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)))
65.0%
#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 107 to 106 computations (0.9% saved)

series53.0ms (2.5%)

Memory
-12.6MiB live, 33.0MiB allocated; 4ms collecting garbage
Counts
20 → 97
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 (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))))))))))
(/.f64 v (sqrt.f64 #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)))))))))
(sqrt.f64 #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 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)))))))
(*.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))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))
(/.f64 H (pow.f64 v #s(literal 2 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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (pow v 2)) #s(hole binary64 (/ 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 (+ (* -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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (+ 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 (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 (* 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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#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))))))))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
Calls

6 calls:

TimeVariablePointExpression
37.0ms
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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2)))
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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2)))
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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2)))
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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2)))
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))) 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)) (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (+ 1 (* -98/5 (/ H (pow v 2)))) (* -98/5 (/ H (pow v 2))) (/ H (pow v 2)))

rewrite145.0ms (6.9%)

Memory
8.4MiB live, 106.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05953746
06183630
116253630
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
117 → 118
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 (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))))))))))
(/.f64 v (sqrt.f64 #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)))))))))
(sqrt.f64 #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 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)))))))
(*.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))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))
(/.f64 H (pow.f64 v #s(literal 2 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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (pow v 2)) #s(hole binary64 (/ 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 (+ (* -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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (+ 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 (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 (* 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 (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#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))))))))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
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 (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))))))))))
(/.f64 v (sqrt.f64 #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)))))))))
(sqrt.f64 #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 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)))))))
(*.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))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))
(*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64))))
(/.f64 H (pow.f64 v #s(literal 2 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 (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 #s(literal -98/5 binary64) (/.f64 H (pow.f64 v #s(literal 2 binary64)))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (pow.f64 v #s(literal 2 binary64))) (pow.f64 v #s(literal 2 binary64))))
#s(approx (/ H (pow v 2)) (/.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 #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 (+ 1 (* -98/5 (/ H (pow v 2)))) (+.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 (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 (* 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 (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 H (-.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))))) (*.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))))))))))
#s(approx (+ 1 (* -98/5 (/ H (pow v 2)))) (*.f64 #s(literal -1 binary64) (*.f64 H (-.f64 (*.f64 #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) H)))))

eval73.0ms (3.5%)

Memory
-5.1MiB live, 39.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 192 to 861 computations (60.7% saved)

prune4.0ms (0.2%)

Memory
11.6MiB live, 11.4MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New982100
Fresh000
Picked202
Done055
Total1007107
Accuracy
100.0%
Counts
107 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
37.9%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
73.1%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
69.5%
(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)))
37.8%
#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)))))))
37.9%
#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))))))
Compiler

Compiled 113 to 113 computations (0% saved)

series75.0ms (3.6%)

Memory
-23.0MiB live, 23.3MiB allocated; 2ms collecting garbage
Counts
18 → 69
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 #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))))
v
(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)
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 (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(literal 1 binary64)
#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 (+ (* -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 (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (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 H #s(hole binary64 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
68.0ms
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))) (/ -5/98 H) -5/98 H (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))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
1.0ms
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))) (/ -5/98 H) -5/98 H (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))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
1.0ms
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))) (/ -5/98 H) -5/98 H (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))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
1.0ms
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))) (/ -5/98 H) -5/98 H (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))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)
1.0ms
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))) (/ -5/98 H) -5/98 H (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))) 1 (+ (* -98/5 H) (pow v 2)) (* -98/5 H) -98/5)

rewrite60.0ms (2.9%)

Memory
13.8MiB live, 110.7MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04532885
04602714
112332714
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
87 → 87
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 #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))))
v
(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)
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 (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(literal 1 binary64)
#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 (+ (* -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 (+ (* -98/5 H) (pow v 2)) #s(hole binary64 (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 H #s(hole binary64 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 #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))))
v
(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)
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 (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(literal 1 binary64)
#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 (+ (* -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 (+ (* -98/5 H) (pow v 2)) (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 H 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))))))

eval13.0ms (0.6%)

Memory
-13.0MiB live, 30.1MiB allocated; 9ms collecting garbage
Compiler

Compiled 1 580 to 627 computations (60.3% saved)

prune5.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New69069
Fresh000
Picked022
Done055
Total69776
Accuracy
100.0%
Counts
76 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
37.9%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
73.1%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
69.5%
(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)))
37.8%
#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)))))))
37.9%
#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))))))
Compiler

Compiled 224 to 192 computations (14.3% saved)

regimes19.0ms (0.9%)

Memory
6.2MiB live, 51.1MiB allocated; 6ms collecting garbage
Counts
10 → 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 (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))))))))))
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

5 calls:

6.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
3.0ms
H
3.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
3.0ms
v
3.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
84.1%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
99.5%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.5%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
84.1%2H
Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes7.0ms (0.3%)

Memory
24.1MiB live, 24.1MiB 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))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.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
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
99.3%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.3%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
89.5%2v
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes7.0ms (0.3%)

Memory
-33.2MiB live, 12.7MiB allocated; 5ms 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.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:

5.0ms
(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
96.7%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
96.7%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
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
3 → 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))))))
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
96.7%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
96.7%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)

regimes7.0ms (0.3%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms 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:

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
69.5%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
69.5%1H
69.5%1v
69.5%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
69.5%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)

regimes14.0ms (0.7%)

Memory
-32.6MiB live, 20.1MiB allocated; 11ms 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:

9.0ms
H
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) 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)

bsearch7.0ms (0.3%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
1.6171120657170375e+87
2.376348479400362e+87
Samples
4.0ms64×0valid
0.0ms0invalid
Compiler

Compiled 104 to 112 computations (-7.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (43% of total)
ival-mult!: 1.0ms (43% of total)
ival-atan: 1.0ms (43% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.398601283559402e-8
0.658739187829315
0.0ms
0.0
1.2e-322
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.398601283559402e-8
0.658739187829315
0.0ms
0.0
1.2e-322
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.398601283559402e-8
0.658739187829315
0.0ms
0.0
1.2e-322
Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations11.0ms (0.5%)

Memory
-30.1MiB live, 15.8MiB allocated; 5ms collecting garbage
Stop Event
done
Compiler

Compiled 101 to 71 computations (29.7% saved)

preprocess235.0ms (11.1%)

Memory
30.8MiB live, 213.7MiB allocated; 61ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 464 to 406 computations (12.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...