Metrics for Optimal throwing angle

start0.0ms (0%)

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

analyze21.0ms (0.7%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample900.0ms (30.8%)

Memory

45.3MiB live, 1 223.9MiB allocated; 195ms collecting garbage

Samples

634.0ms	8 256×	0	valid
5.0ms	106×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-mult!: 99.0ms (28.9% of total)

ival-sqrt: 83.0ms (24.2% of total)

ival-atan: 81.0ms (23.6% of total)

ival-div!: 61.0ms (17.8% of total)

ival-sub!: 17.0ms (5% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess60.0ms (2.1%)

Memory

-33.0MiB live, 59.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	70
1	116	68
2	343	68
3	864	68
4	2149	68

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Symmetry

(negabs v)

Compiler

Compiled 22 to 22 computations (0% saved)

series14.0ms (0.5%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Counts

11 → 59

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 (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#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 (/ (+ (* -2401/25 (pow H 2)) (* -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 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -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 (* -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 (- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#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 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* H (- (* -1 (* H (+ (* -117649/125 (/ v (pow (sqrt (pow v 2)) 7))) (* 49/5 (/ (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))) (pow (sqrt (pow v 2)) 2)))))) (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* -49/5 (/ H (sqrt (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#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 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#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 (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))

Calls

6 calls:

Time	Variable		Point	Expression
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	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
2.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
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)
2.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)

rewrite246.0ms (8.4%)

Memory

-18.6MiB live, 263.2MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2146
0	360	1911
1	2434	1834
0	8970	1667

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

70 → 173

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 (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#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 (/ (+ (* -2401/25 (pow H 2)) (* -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 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -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 (* -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 (- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#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 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* H (- (* -1 (* H (+ (* -117649/125 (/ v (pow (sqrt (pow v 2)) 7))) (* 49/5 (/ (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))) (pow (sqrt (pow v 2)) 2)))))) (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* -49/5 (/ H (sqrt (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#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 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#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 (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#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 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (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 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H)))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v))) #s(literal 1/2 binary64)) (fabs.f64 v))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)))) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) (sqrt.f64 (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 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 #s(literal 941192/125 binary64) (.f64 (.f64 H H) H)))) (sqrt.f64 (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))))))
(sqrt.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(hypot.f64 (neg.f64 (neg.f64 v)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (neg.f64 (neg.f64 v)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 v))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 v))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (exp.f64 (log.f64 v)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (exp.f64 (log.f64 v)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (neg.f64 (fabs.f64 v)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 (neg.f64 v)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (exp.f64 (log.f64 (fabs.f64 v))))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (exp.f64 (log.f64 v)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 (fabs.f64 v)))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (fabs.f64 v))
(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) v)
(hypot.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (neg.f64 v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (fabs.f64 v) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (fabs.f64 v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (neg.f64 (neg.f64 v)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (exp.f64 (log.f64 (fabs.f64 v))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (exp.f64 (log.f64 v)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (neg.f64 (fabs.f64 v)))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (neg.f64 v))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (fabs.f64 v))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)
(hypot.f64 v (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))) (.f64 #s(literal -98/5 binary64) H))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v))) (.f64 v v))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (neg.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)))) (neg.f64 (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) (neg.f64 (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 (neg.f64 (-.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 #s(literal 941192/125 binary64) (.f64 (.f64 H H) H)))) (neg.f64 (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))))))
(/.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 (fma.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (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 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 #s(literal 941192/125 binary64) (.f64 (.f64 H H) H))) (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)))))
(neg.f64 (-.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v)))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (exp.f64 (log.f64 (fabs.f64 v))) (exp.f64 (log.f64 (fabs.f64 v))) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) (neg.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) (*.f64 v v))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))
(fma.f64 #s(literal 98/5 binary64) (neg.f64 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) (neg.f64 (.f64 v v)))
(-.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))
(+.f64 (/.f64 (.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H)) (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 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (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 #s(literal -98/5 binary64) H) (.f64 v v))
(+.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))
(*.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)))
(*.f64 (exp.f64 (log.f64 (fabs.f64 v))) (exp.f64 (log.f64 (fabs.f64 v))))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 1 binary64)) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 (exp.f64 (log.f64 (fabs.f64 v))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(sqrt.f64 (.f64 (.f64 v v) (*.f64 v v)))
(fabs.f64 (*.f64 v v))
(exp.f64 (.f64 (.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 v v)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (fabs.f64 v)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.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 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 v (.f64 (/.f64 (.f64 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64)) (/.f64 v (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (.f64 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) (.f64 v v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 v (.f64 (-.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64)) #s(literal 3/8 binary64) (.f64 (.f64 (.f64 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -7/2 binary64))) #s(literal -5/16 binary64))) (.f64 v v)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) (.f64 v v)) (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))))
#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 (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 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 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (.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 (.f64 (.f64 (.f64 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) (.f64 v v) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (.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 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1 binary64)) (.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/50 binary64)) H) #s(literal 49/5 binary64) (.f64 (.f64 (.f64 H H) H) #s(literal -117649/125 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 H H) (.f64 v v)) (/.f64 #s(literal -7203/50 binary64) (.f64 v v)) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))))))
#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)))) (fma.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 (neg.f64 (.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 7203/50 binary64))) (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 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 117649/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 (.f64 H H) #s(literal 7203/50 binary64)) H) #s(literal 49/5 binary64))) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 7203/50 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 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)))) (/.f64 v (fabs.f64 v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 H (/.f64 v (.f64 (*.f64 v v) v))) #s(literal 49/5 binary64) (/.f64 v (fabs.f64 v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (/.f64 v (pow.f64 v #s(literal 5 binary64))) #s(literal -7203/50 binary64)) H)) (.f64 (/.f64 v (.f64 (*.f64 v v) v)) #s(literal -49/5 binary64))) H (/.f64 v (fabs.f64 v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (fma.f64 H (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (/.f64 v (pow.f64 v #s(literal 5 binary64))) #s(literal -7203/50 binary64)) (.f64 v v)) #s(literal 49/5 binary64) (.f64 (/.f64 v (pow.f64 v #s(literal 7 binary64))) #s(literal -117649/125 binary64))) H)) (.f64 (/.f64 v (pow.f64 v #s(literal 5 binary64))) #s(literal -7203/50 binary64))) (.f64 #s(literal 49/5 binary64) (/.f64 v (.f64 (.f64 v v) v)))) (/.f64 v (fabs.f64 v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fabs.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 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) (fabs.f64 v))) H (fabs.f64 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) (fabs.f64 v))) H (fabs.f64 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)))) (/.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (-.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 v #s(literal 5 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 v #s(literal 5 binary64)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 H (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 6 binary64)) (.f64 (log.f64 H) #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))) (sqrt.f64 (/.f64 #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 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (-.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 v #s(literal 5 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 v #s(literal 5 binary64)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 H (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 6 binary64)) (.f64 (log.f64 H) #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))) (sqrt.f64 (/.f64 #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)))

eval20.0ms (0.7%)

Memory: 36.0MiB live, 36.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 163 to 863 computations (60.1% saved)

prune12.0ms (0.4%)

Memory

-26.9MiB live, 19.0MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	152	14	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	14	167

Accuracy

99.9%

Counts

167 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.4%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))))
▶	81.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))))
▶	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	23.0%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (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))))))))
	47.8%	(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))))))
	39.5%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	69.8%	(atan.f64 (/.f64 v #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))))
	39.5%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
	68.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
	69.1%	(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
	66.4%	(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))))
▶	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
	67.0%	(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)))

Compiler

Compiled 426 to 402 computations (5.6% saved)

series33.0ms (1.1%)

Memory

4.4MiB live, 50.5MiB allocated; 4ms collecting garbage

Counts

31 → 145

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v))))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v)))
#s(literal 1 binary64)
(/.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v))
(*.f64 #s(literal 98/5 binary64) H)
#s(literal 98/5 binary64)
H
(*.f64 v v)
(fabs.f64 v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.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 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v (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))))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v #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))))
(/.f64 v #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 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)) v))
(.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)) v)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))

Outputs
#s(approx (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (- 1 (* 98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ (pow v 2) (* (fabs v) (sqrt (neg (* 98/5 H)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 7)))) (* 3/8 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (/ (* (fabs v) (sqrt (neg (* 98/5 H)))) v)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow v 2) (fabs v)) (sqrt (neg (* 98/5 H))))) (* (fabs v) (sqrt (neg (* 98/5 H))))) v)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* -1/8 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H))))) (* (pow v 2) (+ (* -1/8 (/ (fabs v) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/16 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 5)))))))) v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (/ (sqrt (neg (* 98/5 H))) v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H)))))) v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) #s(hole binary64 (/ (- (pow v 2) (* 98/5 H)) (pow v 2))))
#s(approx (/ (* 98/5 H) (* v v)) #s(hole binary64 (* 98/5 (/ H (pow v 2)))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (fabs v) #s(hole binary64 (fabs v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 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 (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (/ v (sqrt (* -98/5 H)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 3))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 5))) (* 1/2 (/ 1 (pow (sqrt (* -98/5 H)) 3))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 7))) (* 3/8 (/ 1 (pow (sqrt (* -98/5 H)) 5))))) (* 1/2 (/ 1 (pow (sqrt (* -98/5 H)) 3))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (sqrt (* -98/5 H))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (* -98/5 H)) (* 1/2 (/ (pow v 2) (sqrt (* -98/5 H)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (* -98/5 H)) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 3))) (* 1/2 (/ 1 (sqrt (* -98/5 H)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (* -98/5 H)) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 5))) (* 1/8 (/ 1 (pow (sqrt (* -98/5 H)) 3))))) (* 1/2 (/ 1 (sqrt (* -98/5 H)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ v (fabs v))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* v (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v)))) (pow v 4))) (/ 1 (fabs v))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -117649/125 (/ (pow H 3) (fabs v))) (* 49/5 (* H (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v))))))) (pow v 6))) (/ 1 (fabs v))) (+ (* -2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (+ (fabs v) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2)))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -117649/250 (/ (* (pow H 3) (fabs v)) (pow v 6))) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (+ 1 (* -49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (+ 1 (+ (* -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 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2))))))
#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 (/ (+ (* -2401/25 (pow H 2)) (* -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 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ 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 (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #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 (+ (* H -98/5) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))) (pow v 4))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))))) (* 117649/125 (/ (pow H 3) (fabs v)))) (pow v 6))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (+ (* 2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* 2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (/ 1 (fabs v))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #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 (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (+ (* 49/5 (/ H (* v (fabs v)))) (/ v (fabs v)))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (* (pow v 3) (fabs v)))) (* 49/5 (/ 1 (* v (fabs v)))))) (/ v (fabs v)))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (* (pow v 5) (fabs v)))) (* 7203/50 (/ 1 (* (pow v 3) (fabs v)))))) (* 49/5 (/ 1 (* v (fabs v)))))) (/ v (fabs v)))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -2401/50 (/ (* H (fabs v)) (pow v 4))) (* -49/5 (/ (fabs v) (pow v 2))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -49/5 (/ (fabs v) (pow v 2))) (* H (+ (* -117649/250 (/ (* H (fabs v)) (pow v 6))) (* -2401/50 (/ (fabs v) (pow v 4))))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* 98/5 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 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* H (- (* -1 (* H (+ (* -117649/125 (/ v (pow (sqrt (pow v 2)) 7))) (* 49/5 (/ (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))) (pow (sqrt (pow v 2)) 2)))))) (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (sqrt (pow v 2))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* -49/5 (/ H (sqrt (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* H (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/16 (/ (fabs v) (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* H (sqrt (/ -98/5 (* H (pow v 2)))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 (* H (pow v 2)))) (* 1/2 (/ 1 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (+ 1 (* -98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H))))
#s(approx (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* -1 (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/16 (/ (fabs v) (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 (* H (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 (* H (pow v 2)))) (* 1/2 (/ 1 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) 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 (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	H	@	inf	((atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) 1 (/ (* 98/5 H) (* v v)) (* 98/5 H) 98/5 H (* v v) (fabs v) (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)))) (+ (* -49/5 (/ H (* v v))) -1) -49/5 (/ H (* v v)) (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1))
5.0ms	H	@	0	((atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) 1 (/ (* 98/5 H) (* v v)) (* 98/5 H) 98/5 H (* v v) (fabs v) (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)))) (+ (* -49/5 (/ H (* v v))) -1) -49/5 (/ H (* v v)) (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1))
5.0ms	H	@	-inf	((atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) 1 (/ (* 98/5 H) (* v v)) (* 98/5 H) 98/5 H (* v v) (fabs v) (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)))) (+ (* -49/5 (/ H (* v v))) -1) -49/5 (/ H (* v v)) (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1))
4.0ms	v	@	0	((atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) 1 (/ (* 98/5 H) (* v v)) (* 98/5 H) 98/5 H (* v v) (fabs v) (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)))) (+ (* -49/5 (/ H (* v v))) -1) -49/5 (/ H (* v v)) (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1))
4.0ms	v	@	-inf	((atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) 1 (/ (* 98/5 H) (* v v)) (* 98/5 H) 98/5 H (* v v) (fabs v) (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)))) (+ (* -49/5 (/ H (* v v))) -1) -49/5 (/ H (* v v)) (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1))

rewrite189.0ms (6.5%)

Memory

11.3MiB live, 249.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	838	6092
0	871	5531
1	6155	5123
0	8273	4957

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

176 → 333

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v))))
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#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
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#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
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#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
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#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
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#s(approx (- 1 (/ (* 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
#s(approx (/ (* 98/5 H) (* v v)) (.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64)))
#s(approx (* v v) (*.f64 v v))
#s(approx (fabs v) (fabs.f64 v))
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64))) #s(literal 3/8 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -3/2 binary64)))) (.f64 v v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v))
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#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 (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (.f64 (.f64 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v))
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#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 (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 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 v v) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
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#s(approx (+ (* H -98/5) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 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 (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64)))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (*.f64 v v)) v))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) (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 (fabs.f64 v) v))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) (fabs.f64 v)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64))) (fabs.f64 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 H H) H) (fabs.f64 v)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (.f64 (.f64 H H) (fabs.f64 v)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64)))) (fabs.f64 v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(literal 1 binary64))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fma.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 (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 (- 1 (/ (* 98/5 H) (* v 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 (- 1 (/ (* 98/5 H) (* v v))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1 binary64)) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
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#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(literal -1 binary64))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
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#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 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) #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 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* H -98/5) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
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#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))))
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#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (.f64 (neg.f64 v) (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 (fabs.f64 v) v)) #s(literal 49/5 binary64) (/.f64 (fabs.f64 v) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (/.f64 H (.f64 (.f64 (.f64 v v) v) (fabs.f64 v))) #s(literal 7203/50 binary64) (/.f64 #s(literal 49/5 binary64) (.f64 (fabs.f64 v) v))) H (/.f64 (fabs.f64 v) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (.f64 (pow.f64 v #s(literal 5 binary64)) (fabs.f64 v))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 (.f64 v v) v) (fabs.f64 v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 (fabs.f64 v) v))) H (/.f64 (fabs.f64 v) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -2401/50 binary64) (.f64 (fabs.f64 v) H)) (.f64 (.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H (fabs.f64 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (fabs.f64 v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (/.f64 (.f64 #s(literal -117649/250 binary64) (.f64 (fabs.f64 v) H)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) H (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 v)) #s(literal -49/5 binary64))) H (fabs.f64 v)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fma.f64 (-.f64 (.f64 (/.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64)))
#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 H (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 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 (* 98/5 H) (*.f64 H #s(literal 98/5 binary64)))
#s(approx H H)
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (fabs.f64 v) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 H (/.f64 v (.f64 (*.f64 v v) v))) #s(literal 49/5 binary64) (/.f64 (fabs.f64 v) v)))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (-.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 H H))) #s(literal 1/2 binary64)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal -5/2 binary64))) #s(literal -3/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) (.f64 (.f64 (pow.f64 v #s(literal 7 binary64)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal -7/2 binary64))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (-.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (*.f64 H H))) #s(literal 1/2 binary64)))))) H)))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (+ (* H -98/5) (* v v)) (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) v) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 v) H) (/.f64 #s(literal 49/5 binary64) v)) 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)))

eval51.0ms (1.7%)

Memory: 18.3MiB live, 108.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 5 128 to 2 059 computations (59.8% saved)

prune18.0ms (0.6%)

Memory

-7.5MiB live, 37.8MiB allocated; 6ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	2	7	9
Picked	1	4	5
Done	0	0	0
Total	363	18	381

Accuracy

100.0%

Counts

381 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.4%	(atan.f64 (/.f64 (/.f64 (fabs.f64 v) v) (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))))
	19.4%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))))
	81.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
▶	85.8%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v))))
✓	81.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))))
▶	21.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	39.5%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	39.5%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
	69.9%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
	11.1%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
▶	57.3%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
	68.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
	69.1%	(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
▶	66.4%	(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))))
✓	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
▶	67.0%	(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)))

Compiler

Compiled 501 to 487 computations (2.8% saved)

series34.0ms (1.2%)

Memory

2.5MiB live, 53.2MiB allocated; 11ms collecting garbage

Counts

36 → 138

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v))
#s(literal 1 binary64)
(/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v)
(/.f64 (*.f64 H #s(literal 98/5 binary64)) v)
(*.f64 H #s(literal 98/5 binary64))
H
#s(literal 98/5 binary64)
(fabs.f64 v)
(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))
(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 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v))
(/.f64 v H)
(/.f64 #s(literal 49/5 binary64) v)
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v)))
(.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))
(sqrt.f64 #s(approx (- 1 (/ (* 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))
(.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))
#s(literal -98/5 binary64)

Outputs
#s(approx (atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (- 1 (* 98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (pow v 2) (* (fabs v) (sqrt (neg (* 98/5 H)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 7)))) (* 3/8 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (* (fabs v) (sqrt (neg (* 98/5 H)))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow v 2) (fabs v)) (sqrt (neg (* 98/5 H))))) (* (fabs v) (sqrt (neg (* 98/5 H))))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* -1/8 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H))))) (* (pow v 2) (+ (* -1/8 (/ (fabs v) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/16 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 5)))))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (sqrt (neg (* 98/5 H))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H)))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (/ (- (pow v 2) (* 98/5 H)) (pow v 2))))
#s(approx (/ (/ (* H 98/5) v) v) #s(hole binary64 (* 98/5 (/ H (pow v 2)))))
#s(approx (/ (* H 98/5) v) #s(hole binary64 (* 98/5 (/ H v))))
#s(approx (fabs v) #s(hole binary64 (fabs v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 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 (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ -49/5 v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (- (/ (pow v 2) H) 49/5) v)))
#s(approx (/ v H) #s(hole binary64 (/ v H)))
#s(approx (/ 49/5 v) #s(hole binary64 (/ 49/5 v)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ v (fabs v))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v)))) (pow v 4))) (/ 1 (fabs v))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -117649/125 (/ (pow H 3) (fabs v))) (* 49/5 (* H (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v))))))) (pow v 6))) (/ 1 (fabs v))) (+ (* -2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2)))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -117649/250 (/ (* (pow H 3) (fabs v)) (pow v 6))) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (* -49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2))))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -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 (* -49/5 (/ H (pow v 2)))))))
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#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))) (pow v 4))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))))) (* 117649/125 (/ (pow H 3) (fabs v)))) (pow v 6))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (+ (* 2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* 2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (/ 1 (fabs v))))))))))
#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 (- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
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#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 (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
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#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (* (pow v 5) (fabs v)))) (* 7203/50 (/ 1 (* (pow v 3) (fabs v)))))) (* 49/5 (/ 1 (* v (fabs v)))))) (/ v (fabs v)))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -2401/50 (/ (* H (fabs v)) (pow v 4))) (* -49/5 (/ (fabs v) (pow v 2))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -49/5 (/ (fabs v) (pow v 2))) (* H (+ (* -117649/250 (/ (* H (fabs v)) (pow v 6))) (* -2401/50 (/ (fabs v) (pow v 4))))))))))
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#s(approx (* H 98/5) #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 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (pow v 2))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (+ v (* -49/5 (/ H v))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H)))
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#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
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#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	v	@	-inf	((atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (- 1 (/ (/ (* H 98/5) v) v)) 1 (/ (/ (* H 98/5) v) v) (/ (* H 98/5) v) (* H 98/5) H 98/5 (fabs v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (* (/ H (* v v)) -98/5) -98/5)
4.0ms	H	@	-inf	((atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (- 1 (/ (/ (* H 98/5) v) v)) 1 (/ (/ (* H 98/5) v) v) (/ (* H 98/5) v) (* H 98/5) H 98/5 (fabs v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (* (/ H (* v v)) -98/5) -98/5)
4.0ms	H	@	inf	((atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (- 1 (/ (/ (* H 98/5) v) v)) 1 (/ (/ (* H 98/5) v) v) (/ (* H 98/5) v) (* H 98/5) H 98/5 (fabs v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (* (/ H (* v v)) -98/5) -98/5)
3.0ms	v	@	0	((atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (- 1 (/ (/ (* H 98/5) v) v)) 1 (/ (/ (* H 98/5) v) v) (/ (* H 98/5) v) (* H 98/5) H 98/5 (fabs v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (* (/ H (* v v)) -98/5) -98/5)
3.0ms	v	@	inf	((atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (- 1 (/ (/ (* H 98/5) v) v)) 1 (/ (/ (* H 98/5) v) v) (/ (* H 98/5) v) (* H 98/5) H 98/5 (fabs v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (* (/ H (* v v)) -98/5) -98/5)

rewrite281.0ms (9.6%)

Memory

-27.4MiB live, 252.8MiB allocated; 174ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	5961
0	828	5447
1	5595	5102
0	8255	4828

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

174 → 327

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 v))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v))
#s(literal 1 binary64)
(/.f64 (/.f64 (*.f64 H #s(literal 98/5 binary64)) v) v)
(/.f64 (*.f64 H #s(literal 98/5 binary64)) v)
(*.f64 H #s(literal 98/5 binary64))
H
#s(literal 98/5 binary64)
(fabs.f64 v)
(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))
(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 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v))
(/.f64 v H)
(/.f64 #s(literal 49/5 binary64) v)
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v)))
(.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))
(sqrt.f64 #s(approx (- 1 (/ (* 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))
(.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
#s(approx (atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (- 1 (* 98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (pow v 2) (* (fabs v) (sqrt (neg (* 98/5 H)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 7)))) (* 3/8 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 5)))))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (neg (* 98/5 H))) 3)))))) (/ 1 (* (fabs v) (sqrt (neg (* 98/5 H)))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (* (fabs v) (sqrt (neg (* 98/5 H)))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow v 2) (fabs v)) (sqrt (neg (* 98/5 H))))) (* (fabs v) (sqrt (neg (* 98/5 H))))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* -1/8 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (neg (* 98/5 H)))) (* (pow v 2) (+ (* 1/2 (/ (fabs v) (sqrt (neg (* 98/5 H))))) (* (pow v 2) (+ (* -1/8 (/ (fabs v) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/16 (/ (* (pow v 2) (fabs v)) (pow (sqrt (neg (* 98/5 H))) 5)))))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (sqrt (neg (* 98/5 H))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H)))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (/ (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H)))))))) v)))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (* -98/5 (/ H (pow v 2)))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (/ (- (pow v 2) (* 98/5 H)) (pow v 2))))
#s(approx (/ (/ (* H 98/5) v) v) #s(hole binary64 (* 98/5 (/ H (pow v 2)))))
#s(approx (/ (* H 98/5) v) #s(hole binary64 (* 98/5 (/ H v))))
#s(approx (fabs v) #s(hole binary64 (fabs v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 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 (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ -49/5 v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (- (/ (pow v 2) H) 49/5) v)))
#s(approx (/ v H) #s(hole binary64 (/ v H)))
#s(approx (/ 49/5 v) #s(hole binary64 (/ 49/5 v)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ v (fabs v))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v)))) (pow v 4))) (/ 1 (fabs v))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* v (- (+ (* -1 (/ (+ (* -117649/125 (/ (pow H 3) (fabs v))) (* 49/5 (* H (+ (* -2401/25 (/ (pow H 2) (fabs v))) (* -2401/50 (/ (pow H 2) (fabs v))))))) (pow v 6))) (/ 1 (fabs v))) (+ (* -2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (* -49/5 (/ H (* (pow v 2) (fabs v))))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2)))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (+ (* -117649/250 (/ (* (pow H 3) (fabs v)) (pow v 6))) (+ (* -2401/50 (/ (* (pow H 2) (fabs v)) (pow v 4))) (* -49/5 (/ (* H (fabs v)) (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 1))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (* -49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (+ 1 (* -98/5 (/ H (pow v 2))))))
#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 (/ (+ (* -2401/25 (pow H 2)) (* -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 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -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 (* -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 H) (/ 49/5 v)) #s(hole binary64 (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v)))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))) (pow v 4))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (/ 1 (fabs v))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (* v (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (/ (pow H 2) (fabs v))) (* 2401/25 (/ (pow H 2) (fabs v)))))) (* 117649/125 (/ (pow H 3) (fabs v)))) (pow v 6))) (+ (* 49/5 (/ H (* (pow v 2) (fabs v)))) (+ (* 2401/50 (/ (pow H 2) (* (pow v 4) (fabs v)))) (+ (* 2401/25 (/ (pow H 2) (* (pow v 4) (fabs v)))) (/ 1 (fabs v))))))))))
#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 (- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#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 (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (+ (* 49/5 (/ H (* v (fabs v)))) (/ v (fabs v)))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (* (pow v 3) (fabs v)))) (* 49/5 (/ 1 (* v (fabs v)))))) (/ v (fabs v)))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (* (pow v 5) (fabs v)))) (* 7203/50 (/ 1 (* (pow v 3) (fabs v)))))) (* 49/5 (/ 1 (* v (fabs v)))))) (/ v (fabs v)))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -2401/50 (/ (* H (fabs v)) (pow v 4))) (* -49/5 (/ (fabs v) (pow v 2))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (+ (fabs v) (* H (+ (* -49/5 (/ (fabs v) (pow v 2))) (* H (+ (* -117649/250 (/ (* H (fabs v)) (pow v 6))) (* -2401/50 (/ (fabs v) (pow v 4))))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* H 98/5) #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 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* H (- (* -1 (* H (+ (* -117649/125 (/ v (pow (sqrt (pow v 2)) 7))) (* 49/5 (/ (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))) (pow (sqrt (pow v 2)) 2)))))) (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* -49/5 (/ H (sqrt (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (+ v (* -49/5 (/ H v))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* H (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/16 (/ (fabs v) (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (sqrt (/ -98/5 (* H (pow v 2)))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 (* H (pow v 2)))) (* 1/2 (/ 1 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (* H (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (- (/ v H) (* 49/5 (/ 1 v)))))
#s(approx (atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (+ 1 (* -98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* -1 (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/16 (/ (fabs v) (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 (* H (pow v 2))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 (* H (pow v 2)))) (* 1/2 (/ 1 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))) (fabs.f64 v))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (/.f64 (fabs.f64 v) v) (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))
(.f64 (fabs.f64 v) (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))
(pow.f64 (.f64 (.f64 v v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(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)))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
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#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (*.f64 v v) H))) H)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (neg.f64 (.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))) (.f64 H H))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (*.f64 v v) H)))) H)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (neg.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))) (.f64 H H))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H)))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))))))) H)))
#s(approx (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (neg.f64 (.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))) (.f64 H H))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H)))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H)) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))))))) H)))
#s(approx (- 1 (/ (/ (* H 98/5) v) v)) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 98/5 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))
#s(approx (atan (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H)))
#s(approx (/ v (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H)))))) H)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (.f64 H (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 6 binary64)) (.f64 (log.f64 H) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 v) H) (/.f64 #s(literal -49/5 binary64) v)) H)))

eval48.0ms (1.6%)

Memory: -3.8MiB live, 97.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 201 to 1 987 computations (61.8% saved)

prune13.0ms (0.4%)

Memory

31.8MiB live, 31.8MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	337	4	341
Fresh	2	7	9
Picked	1	4	5
Done	1	3	4
Total	341	18	359

Accuracy

100.0%

Counts

359 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(atan.f64 (/.f64 (/.f64 v (sqrt.f64 #s(approx (- 1 (/ (/ (* H 98/5) v) v)) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))) (fabs.f64 v)))
	19.4%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))))
▶	81.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
▶	21.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
	25.7%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64)))) (fabs.f64 v))))
✓	21.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	39.5%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	39.5%	(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
▶	69.9%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
	11.1%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
✓	57.3%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
	68.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
▶	69.1%	(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
✓	66.4%	(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))))
✓	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	67.0%	(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)))

Compiler

Compiled 477 to 464 computations (2.7% saved)

series33.0ms (1.1%)

Memory

-27.7MiB live, 65.3MiB allocated; 4ms collecting garbage

Counts

35 → 175

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))
(sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#s(literal -98/5 binary64)
#s(literal 1 binary64)
(fabs.f64 v)
(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)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (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)
#s(literal -49/5 binary64)
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v)))
(.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))
(sqrt.f64 #s(approx (- 1 (/ (* 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))
#s(approx (- 1 (/ (* 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))
(/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))

Outputs
#s(approx (atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) #s(hole binary64 (atan (/ v (* (fabs v) (sqrt (+ 1 (* -98/5 (/ H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (/ (pow v 2) (* (fabs v) (sqrt (* -98/5 H))))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* -1/2 (/ (pow v 2) (* (fabs v) (pow (sqrt (* -98/5 H)) 3)))) (/ 1 (* (fabs v) (sqrt (* -98/5 H))))))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (* (fabs v) (pow (sqrt (* -98/5 H)) 5)))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (* -98/5 H)) 3)))))) (/ 1 (* (fabs v) (sqrt (* -98/5 H))))))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* (pow v 2) (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (* (fabs v) (pow (sqrt (* -98/5 H)) 7)))) (* 3/8 (/ 1 (* (fabs v) (pow (sqrt (* -98/5 H)) 5)))))) (* 1/2 (/ 1 (* (fabs v) (pow (sqrt (* -98/5 H)) 3)))))) (/ 1 (* (fabs v) (sqrt (* -98/5 H))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (/ (* (fabs v) (sqrt (* -98/5 H))) v)))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (/ (+ (* 1/2 (/ (* (pow v 2) (fabs v)) (sqrt (* -98/5 H)))) (* (fabs v) (sqrt (* -98/5 H)))) v)))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (* -98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (* (pow v 2) (fabs v)) (pow (sqrt (* -98/5 H)) 3))) (* 1/2 (/ (fabs v) (sqrt (* -98/5 H))))))) v)))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (/ (+ (* (fabs v) (sqrt (* -98/5 H))) (* (pow v 2) (+ (* 1/2 (/ (fabs v) (sqrt (* -98/5 H)))) (* (pow v 2) (+ (* -1/8 (/ (fabs v) (pow (sqrt (* -98/5 H)) 3))) (* 1/16 (/ (* (pow v 2) (fabs v)) (pow (sqrt (* -98/5 H)) 5)))))))) v)))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (/ (sqrt (* -98/5 H)) v)))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (/ (+ (sqrt (* -98/5 H)) (* 1/2 (/ (pow v 2) (sqrt (* -98/5 H))))) v)))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (/ (+ (sqrt (* -98/5 H)) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 3))) (* 1/2 (/ 1 (sqrt (* -98/5 H))))))) v)))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (/ (+ (sqrt (* -98/5 H)) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 5))) (* 1/8 (/ 1 (pow (sqrt (* -98/5 H)) 3))))) (* 1/2 (/ 1 (sqrt (* -98/5 H))))))) v)))
#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 (fabs v) #s(hole binary64 (fabs v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#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) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#s(approx (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) #s(hole binary64 (/ v (sqrt (* -98/5 H)))))
#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 3))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (* -98/5 H)) 5))) (* 1/2 (/ 1 (pow (sqrt (* -98/5 H)) 3))))) (/ 1 (sqrt (* -98/5 H)))))))
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#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) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#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) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ 1 (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 6) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ 1 (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* -1 (/ v (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) H))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow H 4))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))) H))))
#s(approx (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (* -1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 2))) (* 1/8 (/ v (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 7))))) (pow H 6))) (/ v (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))) (+ (* -1/4 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (+ (* -1/8 (/ v (* (pow H 4) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5))))) (* 1/2 (/ v (* (pow H 2) (* (fabs v) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))) H))))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (* -1 (* H (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2)))))))))))
#s(approx (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (/ (fabs v) (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))) (+ (* 1/16 (/ (fabs v) (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))) (+ (* 1/2 (/ (fabs v) (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (* (fabs v) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 (* H (pow v 2))))))))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 (* H (pow v 2)))) (* 1/2 (/ 1 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))))))))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2))))))) (/ 1/8 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3))))))))
#s(approx (sqrt (+ (* (/ H (* v v)) -98/5) 1)) #s(hole binary64 (* -1 (* H (- (+ (sqrt (/ -98/5 (* H (pow v 2)))) (+ (/ 1/2 (* (pow H 2) (sqrt (/ -98/5 (* H (pow v 2)))))) (* 1/16 (/ 1 (* (pow H 6) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 5)))))) (* 1/8 (/ 1 (* (pow H 4) (pow (sqrt (/ -98/5 (* H (pow v 2)))) 3)))))))))
#s(approx (+ (* (/ H (* v v)) -98/5) 1) #s(hole binary64 (* -1 (* H (- (* 98/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#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) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ 1 (sqrt (/ -98/5 H)))) H))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ 1 (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 4) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 6) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ 1 (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	v	@	-inf	((atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (+ (* (/ H (* v v)) -98/5) 1) (/ H (* v v)) H (* v v) -98/5 1 (fabs v) (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) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (/ (* -98/5 H) (* v v)))
4.0ms	H	@	inf	((atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (+ (* (/ H (* v v)) -98/5) 1) (/ H (* v v)) H (* v v) -98/5 1 (fabs v) (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) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (/ (* -98/5 H) (* v v)))
4.0ms	v	@	inf	((atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (+ (* (/ H (* v v)) -98/5) 1) (/ H (* v v)) H (* v v) -98/5 1 (fabs v) (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) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (/ (* -98/5 H) (* v v)))
4.0ms	H	@	-inf	((atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (+ (* (/ H (* v v)) -98/5) 1) (/ H (* v v)) H (* v v) -98/5 1 (fabs v) (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) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (/ (* -98/5 H) (* v v)))
4.0ms	v	@	0	((atan (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)))) (/ v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v))) v (* (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (fabs v)) (sqrt (+ (* (/ H (* v v)) -98/5) 1)) (+ (* (/ H (* v v)) -98/5) 1) (/ H (* v v)) H (* v v) -98/5 1 (fabs v) (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) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v)))))) (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (atan (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)))) (/ v (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v))) (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (- 1 (/ (* 98/5 H) (* v v))) (/ (* -98/5 H) (* v v)))

rewrite188.0ms (6.4%)

Memory

33.4MiB live, 262.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	979	7681
0	1018	6857
1	7408	6519
0	8421	6343

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

210 → 357

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
(/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v)))
v
(.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))
(sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#s(literal -98/5 binary64)
#s(literal 1 binary64)
(fabs.f64 v)
(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)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (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)
#s(literal -49/5 binary64)
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
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Outputs
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(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
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(.f64 (fabs.f64 v) (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 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)))
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#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) #s(literal 1 binary64))
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#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) #s(literal -1 binary64))
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#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (neg.f64 v))
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#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v))
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#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1 binary64)) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) v)))
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#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (fma.f64 (/.f64 H (*.f64 (fabs.f64 v) v)) #s(literal 49/5 binary64) (/.f64 (fabs.f64 v) v)))
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#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (fabs.f64 v) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (/.f64 (.f64 #s(literal -117649/250 binary64) (.f64 (fabs.f64 v) H)) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)))) H (/.f64 (.f64 #s(literal -49/5 binary64) (fabs.f64 v)) (.f64 v v))) H (fabs.f64 v)))
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#s(approx (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 H (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 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 H H)
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#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (fabs.f64 v))
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#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal 1 binary64) (fabs.f64 v)))
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#s(approx (/ 1 (sqrt (+ (* -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) (fabs.f64 v))))
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#s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/.f64 v (.f64 (.f64 (fabs.f64 v) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (.f64 (.f64 v v) H))))))
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#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (* (sqrt (- 1 (/ (* 98/5 H) (* v v)))) (fabs v)) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (+ (* -98/5 H) (* v v)) (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) v) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 v) H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (/.f64 (.f64 v v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (*.f64 H H))) #s(literal 1/2 binary64)))) H)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) #s(literal -3/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 7/2 binary64))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 v v) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (.f64 H H))) #s(literal 1/2 binary64)))))) H)))

eval47.0ms (1.6%)

Memory: 9.2MiB live, 109.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 5 440 to 1 990 computations (63.4% saved)

prune20.0ms (0.7%)

Memory

3.7MiB live, 49.7MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	336	4	340
Fresh	1	5	6
Picked	0	5	5
Done	1	6	7
Total	338	20	358

Accuracy

100.0%

Counts

358 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(atan.f64 (/.f64 (/.f64 v (sqrt.f64 #s(approx (- 1 (/ (/ (* H 98/5) v) v)) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))) (fabs.f64 v)))
	19.4%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))))
✓	81.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
	25.7%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (/.f64 (*.f64 #s(literal -98/5 binary64) H) v) v))) (fabs.f64 v))))
✓	21.3%	(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	39.5%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	39.5%	(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
✓	69.9%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
	11.1%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
✓	57.3%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
	68.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
	39.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
✓	69.1%	(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
	39.5%	(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
✓	66.4%	(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))))
✓	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	67.0%	(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)))
	26.3%	(atan.f64 #s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (fabs.f64 v)))))

Compiler

Compiled 647 to 520 computations (19.6% saved)

regimes87.0ms (3%)

Memory

-20.2MiB live, 90.4MiB allocated; 17ms collecting garbage

Counts

30 → 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 #s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (fabs.f64 v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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 #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))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (/.f64 (*.f64 #s(literal -98/5 binary64) H) v) v))) (fabs.f64 v))))
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 #s(approx (- 1 (/ (/ (* H 98/5) v) v)) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))) (fabs.f64 v)))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))
(atan.f64 (/.f64 (/.f64 (fabs.f64 v) v) (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) v) v))) (fabs.f64 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))))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) (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))))))))

Outputs

(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))

(atan.f64 (/.f64 (/.f64 (fabs.f64 v) v) (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)))))

Calls

5 calls:

52.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
10.0ms	H
8.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms	v
6.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
87.5%	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%	2	`v`
87.5%	2	`H`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes9.0ms (0.3%)

Memory

-25.8MiB live, 20.4MiB allocated; 3ms collecting garbage

Counts

24 → 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 #s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (fabs.f64 v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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 #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))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (/.f64 (*.f64 #s(literal -98/5 binary64) H) v) v))) (fabs.f64 v))))
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 #s(approx (- 1 (/ (/ (* H 98/5) v) v)) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))) (fabs.f64 v)))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))

Outputs

(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))

(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64))) (fabs.f64 v))))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes39.0ms (1.3%)

Memory

7.3MiB live, 49.4MiB allocated; 3ms collecting garbage

Counts

23 → 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 #s(approx (* v (/ 1 (sqrt (+ (* -98/5 H) (* v v))))) (/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (fabs.f64 v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (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 #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))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64)))) (fabs.f64 v))))
(atan.f64 (/.f64 v (.f64 (sqrt.f64 #s(approx (- 1 (/ ( 98/5 H) (* v v))) (/.f64 (/.f64 (*.f64 #s(literal -98/5 binary64) H) v) v))) (fabs.f64 v))))
(atan.f64 (/.f64 (/.f64 v (sqrt.f64 #s(approx (- 1 (/ (/ (* H 98/5) v) v)) (.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64))))) (fabs.f64 v)))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))

Calls

3 calls:

26.0ms

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

6.0ms

5.0ms

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

Results

Accuracy	Segments	Branch
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%	2	`v`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes10.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Counts

11 → 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (* (sqrt (- 1 (/ (/ (* H 98/5) v) v))) (fabs v)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))

Outputs

(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))

(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))

(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))))

Calls

3 calls:

4.0ms

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

Accuracy	Segments	Branch
98.8%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
98.8%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
90.4%	2	`v`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes5.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

8 → 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)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))) v)))

Outputs

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

(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))

(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (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

Accuracy	Segments	Branch
96.9%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
96.9%	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)

regimes41.0ms (1.4%)

Memory

-30.6MiB live, 11.7MiB allocated; 4ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) (*.f64 (/.f64 H v) #s(literal -49/5 binary64))))))
(atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))

Outputs

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

(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))

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

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
96.5%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
96.5%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes7.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.0%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
67.0%	1	`H`
67.0%	1	`v`
67.0%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
67.0%	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)

regimes6.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB 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	H
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
1.8%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
1.8%	1	`v`
1.8%	1	`H`
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)))))`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

bsearch39.0ms (1.3%)

Memory

2.8MiB live, 40.1MiB allocated; 28ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.568482360810068e-51	1.051780907336832e-47

Samples

30.0ms	128×	0	valid
1.0ms	30×	0	invalid

Compiler

Compiled 176 to 192 computations (-9.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult!: 24.0ms (86.5% of total)

ival-sqrt: 1.0ms (3.6% of total)

ival-div!: 1.0ms (3.6% of total)

ival-atan: 1.0ms (3.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch23.0ms (0.8%)

Memory

-20.1MiB live, 21.6MiB allocated; 20ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
22.0ms	2.342271856858637e+24	1.738741084290052e+25

Samples

19.0ms	64×	0	valid
0.0ms	6×	0	invalid

Compiler

Compiled 96 to 104 computations (-8.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-atan: 16.0ms (90.4% of total)

ival-sqrt: 1.0ms (5.7% of total)

ival-mult!: 1.0ms (5.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.9085409400701958e+147	8.61009584317472e+148

Samples

1.0ms

16×

valid

Compiler

Compiled 37 to 39 computations (-5.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

ival-atan: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.003973969505666977	0.7853312686181817
0.0ms	0.0	2.6933202011e-313

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.003973969505666977	0.7853312686181817
0.0ms	0.0	2.6933202011e-313

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.003973969505666977	0.7853312686181817
0.0ms	0.0	2.6933202011e-313

Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations295.0ms (10.1%)

Memory

14.8MiB live, 250.2MiB allocated; 66ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 119 to 80 computations (32.8% saved)

preprocess128.0ms (4.4%)

Memory: -2.8MiB live, 230.4MiB allocated; 26ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 576 to 493 computations (14.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze21.0ms (0.7%)

sample900.0ms (30.8%)

preprocess60.0ms (2.1%)

series14.0ms (0.5%)

rewrite246.0ms (8.4%)

eval20.0ms (0.7%)

prune12.0ms (0.4%)

series33.0ms (1.1%)

rewrite189.0ms (6.5%)

eval51.0ms (1.7%)

prune18.0ms (0.6%)

series34.0ms (1.2%)

rewrite281.0ms (9.6%)

eval48.0ms (1.6%)

prune13.0ms (0.4%)

series33.0ms (1.1%)

rewrite188.0ms (6.4%)

eval47.0ms (1.6%)

prune20.0ms (0.7%)

regimes87.0ms (3%)

regimes9.0ms (0.3%)

regimes39.0ms (1.3%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes41.0ms (1.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

bsearch39.0ms (1.3%)

bsearch23.0ms (0.8%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations295.0ms (10.1%)

preprocess128.0ms (4.4%)

end0.0ms (0%)

Profiling