Optimal throwing angle

Time bar (total: 2.0s)

start0.0ms (0%)

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

analyze23.0ms (1.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample870.0ms (43.1%)

Memory
28.9MiB live, 1 244.4MiB allocated; 268ms collecting garbage
Samples
632.0ms8 256×0valid
5.0ms86×0invalid
Precisions
Click to see histograms. Total time spent on operations: 353.0ms
ival-mult!: 131.0ms (37.1% of total)
ival-atan: 83.0ms (23.5% of total)
ival-sqrt: 76.0ms (21.5% of total)
ival-div!: 43.0ms (12.2% of total)
ival-sub!: 19.0ms (5.4% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess120.0ms (6%)

Memory
-20.1MiB live, 25.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03270
19168
221368
353968
4151768
5663668
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.1%
(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)

series17.0ms (0.8%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Counts
11 → 54
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

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

rewrite145.0ms (7.2%)

Memory
-0.8MiB live, 89.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03902001
04001802
021181677
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
65 → 85
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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 v v) (*.f64 v v) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H) (*.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 H #s(literal 98/5 binary64))
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)) #s(literal -1/2 binary64))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 #s(literal -5/98 binary64) H)) #s(literal 25/19208 binary64) (/.f64 #s(literal 625/92236816 binary64) (*.f64 (*.f64 H H) (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#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 (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 binary64) (*.f64 (*.f64 v v) v))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 v v) H)) #s(literal 98/5 binary64)) H)))

eval10.0ms (0.5%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 362 to 533 computations (60.9% saved)

prune47.0ms (2.4%)

Memory
-43.2MiB live, 19.0MiB allocated; 25ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68977
Fresh000
Picked101
Done000
Total69978
Accuracy
100.0%
Counts
78 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
50.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
▶39.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶71.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
66.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
▶3.0%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
67.7%
(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)))
▶68.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
Compiler

Compiled 274 to 272 computations (0.7% saved)

series29.0ms (1.4%)

Memory
3.1MiB live, 44.9MiB allocated; 8ms collecting garbage
Counts
30 → 102
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(/.f64 H v)
H
#s(literal -49/5 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))
(/.f64 H (*.f64 v v))
(*.f64 v v)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
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 (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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) (* v v)) #s(hole binary64 (+ (* -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 (+ 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 -1))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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 (- (* 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) 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)))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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))) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (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) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) (/ H (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)))
6.0ms
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))) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (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) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) (/ H (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)))
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))) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (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) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) (/ H (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)))
3.0ms
H
@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))) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (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) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) (/ H (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)))
3.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (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) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) (/ H (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)))

rewrite127.0ms (6.3%)

Memory
-3.5MiB live, 143.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06343886
06573452
034133326
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
132 → 174
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(/.f64 H v)
H
#s(literal -49/5 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))
(/.f64 H (*.f64 v v))
(*.f64 v v)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#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 (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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) (* v v)) #s(hole binary64 (+ (* -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 (+ 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 -1))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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 (- (* 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ 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 (+ (* (/ H v) -49/5) 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)))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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))))
Outputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 (neg.f64 v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 H v) #s(literal -49/5 binary64)) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))) (*.f64 v v)) (-.f64 (*.f64 (/.f64 H v) #s(literal -49/5 binary64)) v))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 (/.f64 H v) #s(literal -49/5 binary64)) (*.f64 (/.f64 H v) #s(literal -49/5 binary64)))) (-.f64 v (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))
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(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(-.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v)))
(+.f64 (*.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)
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(/.f64 (neg.f64 H) (neg.f64 v))
(/.f64 H v)
H
#s(literal -49/5 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 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
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(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
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(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
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(-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))
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(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal 1 binary64)
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(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
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(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
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#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
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#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64)))
#s(approx (+ (* (/ H v) -49/5) v) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (*.f64 v v)) 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)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (neg.f64 (*.f64 v v))) (*.f64 v v)))
#s(approx (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)) #s(literal -1/2 binary64))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
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#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
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#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) #s(literal 1 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(literal -1 binary64))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal 1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 941192/125 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -9604/25 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) (*.f64 v v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) #s(literal 1 binary64)))))
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (neg.f64 v) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 binary64) (*.f64 (*.f64 v v) v))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx H H)
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (/.f64 #s(literal 49/5 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal 1 binary64) v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 9604/25 binary64) (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64) (/.f64 #s(literal 9604/25 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) H (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H))
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64)) #s(literal 5/98 binary64)) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)) #s(literal -125/941192 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64))) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 H H) H)) #s(literal -625/92236816 binary64)) #s(literal 5/98 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64)))) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* (/ H v) -49/5) v) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 v) H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 v v) H)) #s(literal 98/5 binary64)) H)))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)) #s(literal 125/1882384 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H)) #s(literal 5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H)) (*.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) #s(literal 5/98 binary64)) H)))

eval37.0ms (1.8%)

Memory
1.8MiB live, 46.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 694 to 1 079 computations (59.9% saved)

prune7.0ms (0.3%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1511152
Fresh044
Picked055
Done000
Total15110161
Accuracy
100.0%
Counts
161 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
▶50.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
✓39.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓71.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
▶66.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓3.0%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
▶67.7%
(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)))
✓68.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
▶39.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 242 to 238 computations (1.7% saved)

series38.0ms (1.9%)

Memory
-12.9MiB live, 32.0MiB allocated; 4ms collecting garbage
Counts
30 → 101
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
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)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(*.f64 v v)
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))
Outputs
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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 (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
H
@inf
((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) v (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (* -98/5 H) -98/5 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))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (* v v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1))
3.0ms
H
@-inf
((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) v (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (* -98/5 H) -98/5 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))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (* v v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1))
2.0ms
v
@0
((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) v (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (* -98/5 H) -98/5 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))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (* v v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1))
2.0ms
v
@inf
((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) v (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (* -98/5 H) -98/5 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))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (* v v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1))
2.0ms
H
@0
((atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (/ v (sqrt (+ (* v v) (* -98/5 H)))) v (sqrt (+ (* v v) (* -98/5 H))) (+ (* v v) (* -98/5 H)) (* -98/5 H) -98/5 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))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) -5/98 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (* v v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1))

rewrite127.0ms (6.3%)

Memory
24.5MiB live, 163.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06273914
06533484
033903362
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
131 → 183
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
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)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(*.f64 v v)
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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 (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #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) (* v v)))) #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) (* v v)))) #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) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #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) (* v v))) #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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 H #s(literal -98/5 binary64)))) (-.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 H #s(literal -98/5 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (+.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 v v) (*.f64 v v) (-.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 H #s(literal -98/5 binary64))) (*.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 v v) (*.f64 v v) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H) (*.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
(atan.f64 #s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))
(+.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)
(*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))
(*.f64 (*.f64 v v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 (*.f64 v v) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)))
(+.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)) #s(literal -1/2 binary64))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 #s(literal -5/98 binary64) H)) #s(literal 25/19208 binary64) (/.f64 #s(literal 625/92236816 binary64) (*.f64 (*.f64 H H) (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)) #s(literal -1/2 binary64))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 #s(literal -5/98 binary64) H)) #s(literal 25/19208 binary64) (/.f64 #s(literal 625/92236816 binary64) (*.f64 (*.f64 H H) (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (-.f64 (/.f64 (*.f64 #s(literal -25/9604 binary64) (*.f64 v v)) (*.f64 H H)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -125/941192 binary64) (*.f64 v v)) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 25/9604 binary64) (*.f64 H H))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 H H) (*.f64 H H))) #s(literal -625/92236816 binary64)) (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v v)) (/.f64 #s(literal 25/9604 binary64) (*.f64 H H))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) (*.f64 v v)))
#s(approx (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (/.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) (*.f64 v v)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal 1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 941192/125 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -9604/25 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) (*.f64 v v)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 binary64) (*.f64 (*.f64 v v) v))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx H H)
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal 1 binary64) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (/.f64 #s(literal 49/5 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal 1 binary64) v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 98/5 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 9604/25 binary64) (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64) (/.f64 #s(literal 9604/25 binary64) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)))) H (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 1 binary64) (*.f64 v v))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64)))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64))))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64)) #s(literal 5/98 binary64)) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)) #s(literal -125/941192 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64))) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 H H) H)) #s(literal -625/92236816 binary64)) #s(literal 5/98 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64)))) H))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) H) (/.f64 #s(literal 98/5 binary64) (*.f64 v v))) H))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 v v) H)) #s(literal 98/5 binary64)) H)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)) #s(literal 125/1882384 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H)) #s(literal 5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H)) (*.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) #s(literal 5/98 binary64)) H)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))

eval26.0ms (1.3%)

Memory
-22.9MiB live, 65.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 917 to 1 138 computations (61% saved)

prune5.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New1711172
Fresh000
Picked145
Done055
Total17210182
Accuracy
100.0%
Counts
182 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
▶18.8%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))))
✓39.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓71.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
✓66.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓3.0%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
✓67.7%
(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)))
✓68.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
✓39.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 167 to 164 computations (1.8% saved)

series10.0ms (0.5%)

Memory
23.9MiB live, 23.9MiB allocated; 0ms collecting garbage
Counts
12 → 59
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))
(*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#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 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 (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (+ 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 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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#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)))))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1) (* (/ H (* v v)) -98/5) (/ H (* v v)) H (* v v) -98/5)
2.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1) (* (/ H (* v v)) -98/5) (/ H (* v v)) H (* v v) -98/5)
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)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1) (* (/ H (* v v)) -98/5) (/ H (* v v)) H (* v v) -98/5)
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)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1) (* (/ H (* v v)) -98/5) (/ H (* v v)) H (* v v) -98/5)
1.0ms
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)) (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (+ (* (/ H (* v v)) -98/5) 1) (* (/ H (* v v)) -98/5) (/ H (* v v)) H (* v v) -98/5)

rewrite145.0ms (7.2%)

Memory
-13.6MiB live, 132.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04082249
04172045
022051907
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
71 → 84
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))
(*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#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 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 (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (+ 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 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 (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#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)))))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))))))
v
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))))
(*.f64 (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) v) v)
(*.f64 (*.f64 v v) #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))))
(*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))
(/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
H
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
#s(literal -98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)) #s(literal -1/2 binary64))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (*.f64 #s(literal -5/98 binary64) H)) #s(literal 25/19208 binary64) (/.f64 #s(literal 625/92236816 binary64) (*.f64 (*.f64 H H) (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 H H) H) #s(literal -5/98 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* (+ (* (/ H (* v v)) -98/5) 1) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 v v)))
#s(approx (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 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 (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 v (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (*.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 binary64) (*.f64 (*.f64 v v) v))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx H H)
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) H) (/.f64 #s(literal 98/5 binary64) (*.f64 v v))) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) #s(literal 1/2 binary64))) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 v v) H)) #s(literal 98/5 binary64)) H)))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 98/5 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))

eval9.0ms (0.4%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 439 to 553 computations (61.6% saved)

prune9.0ms (0.4%)

Memory
-29.8MiB live, 14.1MiB allocated; 7ms collecting garbage
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done099
Total661076
Accuracy
100.0%
Counts
76 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
✓18.8%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))))
✓39.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓71.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
✓66.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓3.0%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
✓67.7%
(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)))
✓68.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
✓39.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 300 to 248 computations (17.3% saved)

regimes33.0ms (1.6%)

Memory
-16.1MiB live, 42.9MiB allocated; 23ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(approx (+ (* (/ H (* v v)) -98/5) 1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.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:

18.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
4.0ms
v
4.0ms
H
3.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
3.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
85.4%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
99.8%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.8%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
99.8%2v
85.4%2H
Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes7.0ms (0.4%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
7 → 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 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
Outputs
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
Calls

3 calls:

3.0ms
v
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
99.5%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
99.5%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
87.9%2v
Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes4.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
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 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
96.4%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
96.4%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)

regimes4.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
96.1%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
96.1%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)

regimes8.0ms (0.4%)

Memory
-23.5MiB live, 22.7MiB allocated; 3ms 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:

3.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
v
1.0ms
H
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
67.7%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
67.7%1H
67.7%1v
67.7%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
67.7%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes5.0ms (0.3%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

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

Compiled 28 to 31 computations (-10.7% saved)

bsearch9.0ms (0.4%)

Memory
-28.0MiB live, 17.7MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
8.0ms
6.932029089357669e+112
5.8058618050305166e+116
Samples
4.0ms64×0valid
0.0ms4×0invalid
Compiler

Compiled 100 to 108 computations (-8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (40.1% of total)
ival-mult!: 1.0ms (40.1% of total)
ival-atan: 1.0ms (40.1% 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00026262150788635563
0.785398053269426
0.0ms
0.0
4.231765526760866e-293
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00026262150788635563
0.785398053269426
0.0ms
0.0
4.231765526760866e-293
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00026262150788635563
0.785398053269426
0.0ms
0.0
4.231765526760866e-293
Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations37.0ms (1.8%)

Memory
12.7MiB live, 57.8MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 100 to 67 computations (33% saved)

preprocess110.0ms (5.4%)

Memory
-8.8MiB live, 232.2MiB allocated; 27ms collecting garbage
Remove

(negabs v)

Compiler

Compiled 521 to 434 computations (16.7% saved)

end0.0ms (0%)

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

Profiling

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