Metrics for Optimal throwing angle

start0.0ms (0%)

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

analyze26.0ms (0.8%)

Memory

12.5MiB live, 60.2MiB allocated; 7ms 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)

sample943.0ms (29%)

Memory

23.4MiB live, 1 618.2MiB allocated; 317ms collecting garbage

Samples

653.0ms	8 256×	0	valid
17.0ms	106×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 352.0ms

ival-atan: 138.0ms (39.2% of total)

ival-mult!: 85.0ms (24.1% of total)

ival-sqrt: 64.0ms (18.2% of total)

ival-div!: 45.0ms (12.8% of total)

ival-sub!: 19.0ms (5.4% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess132.0ms (4%)

Memory

-18.9MiB live, 39.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	70
1	91	68
2	213	68
3	539	68
4	1517	68
5	6636	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 26 to 22 computations (15.4% saved)

series24.0ms (0.7%)

Memory

2.6MiB live, 45.7MiB allocated; 11ms 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)

rewrite263.0ms (8.1%)

Memory

50.0MiB live, 224.6MiB allocated; 108ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	2146
0	360	1911
1	1894	1834
0	8379	1669

Stop Event

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

Counts

70 → 178

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 (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 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(/.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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 (neg.f64 v)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (exp.f64 (log.f64 (fabs.f64 v))))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (exp.f64 (log.f64 v)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 (fabs.f64 v)))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (fabs.f64 v))
(hypot.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) v)
(hypot.f64 (neg.f64 (neg.f64 v)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(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))) (fabs.f64 (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)) (fabs.f64 (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)) (fabs.f64 (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)) (fabs.f64 (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) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(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) (fabs.f64 (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 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(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 (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)))))
(fma.f64 (fabs.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) (fabs.f64 (sqrt.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 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))) (/.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) (.f64 v v)) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (/.f64 (.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))))
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(-.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))
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(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))
(*.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) (pow.f64 (*.f64 v v) #s(literal -1 binary64)))
(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))))))
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#s(approx v v)
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#s(approx (* v v) (*.f64 v v))
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#s(approx (* (* 2 49/5) H) (*.f64 #s(literal 98/5 binary64) H))
#s(approx H H)
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#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 (0.6%)

Memory: -7.7MiB live, 38.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 4 123 to 877 computations (78.7% saved)

prune13.0ms (0.4%)

Memory

-23.1MiB live, 23.9MiB allocated; 2ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	157	14	171
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	14	172

Accuracy

99.9%

Counts

172 → 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))))))
▶	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)))))
	64.7%	(atan.f64 (/.f64 v (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal 1/2 binary64)))))
▶	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)))))
▶	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)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
▶	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v)))
	19.0%	(atan.f64 #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))))
	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 676 to 458 computations (32.2% saved)

series30.0ms (0.9%)

Memory

-1.1MiB live, 52.6MiB allocated; 5ms collecting garbage

Counts

33 → 102

Calls

Call 1

Inputs
(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)))
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))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #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))
#s(literal 49/5 binary64)
(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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.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 -1/2 binary64) (/.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)))) (.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v))
(.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v)
(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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (.f64 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(*.f64 #s(literal -98/5 binary64) H)
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 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 (* (+ (* -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)))))
#s(approx (+ (* -49/5 (/ H (* v v))) 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 (+ (* (/ 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 (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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (* -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H))))))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* -5/98 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#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 (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (+ 1 (* -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 v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* 5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* (pow v 3) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* (pow v 2) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#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 (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 H #s(hole binary64 H))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H)))) (/ (* H v) (sqrt (* -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H)))) H)))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* -98/5 (* H (sqrt (* -98/5 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 (* (+ (* -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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* -5/98 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* -98/5 (* (pow H 2) (sqrt (/ -98/5 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 (* (+ (* -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))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H))))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/98 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* 98/5 (* (pow H 2) (sqrt (/ -98/5 H))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1) -49/5 (/ H (* v v)) H (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 49/5 (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)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (* (* -98/5 H) (sqrt (* -98/5 H))) (* -98/5 H) (sqrt (* -98/5 H)) -1/2 (/ 1 (sqrt (* -98/5 H))))
6.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1) -49/5 (/ H (* v v)) H (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 49/5 (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)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (* (* -98/5 H) (sqrt (* -98/5 H))) (* -98/5 H) (sqrt (* -98/5 H)) -1/2 (/ 1 (sqrt (* -98/5 H))))
4.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1) -49/5 (/ H (* v v)) H (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 49/5 (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)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (* (* -98/5 H) (sqrt (* -98/5 H))) (* -98/5 H) (sqrt (* -98/5 H)) -1/2 (/ 1 (sqrt (* -98/5 H))))
4.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1) -49/5 (/ H (* v v)) H (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 49/5 (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)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (* (* -98/5 H) (sqrt (* -98/5 H))) (* -98/5 H) (sqrt (* -98/5 H)) -1/2 (/ 1 (sqrt (* -98/5 H))))
3.0ms	v	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* -49/5 (/ H (* v v))) 1) -49/5 (/ H (* v v)) H (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 49/5 (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)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (* (* -98/5 H) (sqrt (* -98/5 H))) (* -98/5 H) (sqrt (* -98/5 H)) -1/2 (/ 1 (sqrt (* -98/5 H))))

rewrite177.0ms (5.4%)

Memory

30.1MiB live, 166.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	3735
0	587	3394
1	2969	3196
0	8148	3058

Stop Event

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

Counts

135 → 357

Calls

Call 1

Inputs
(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)))
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))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #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))
#s(literal 49/5 binary64)
(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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.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 -1/2 binary64) (/.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)))) (.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v))
(.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v)
(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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (.f64 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(*.f64 #s(literal -98/5 binary64) H)
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 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 (* (+ (* -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)))))
#s(approx (+ (* -49/5 (/ H (* v v))) 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 (+ (* (/ 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 (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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (* -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H))))))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* -5/98 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#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 (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (+ 1 (* -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 v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* 5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* (pow v 3) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* (pow v 2) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#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 (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 H #s(hole binary64 H))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H)))) (/ (* H v) (sqrt (* -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H)))) H)))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* -98/5 (* H (sqrt (* -98/5 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 (* (+ (* -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 (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* -5/98 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* -98/5 (* (pow H 2) (sqrt (/ -98/5 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))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
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#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)))))))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
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#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H))))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/98 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) #s(hole binary64 (* 98/5 (* (pow H 2) (sqrt (/ -98/5 H))))))

Outputs
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v
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(*.f64 H #s(literal -98/5 binary64))
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#s(literal -1/2 binary64)
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#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))))))
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#s(approx v v)
#s(approx (sqrt (+ (* H -98/5) (* v v))) (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) (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 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 (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
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#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)))) (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 (+.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 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (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)))) #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 (sqrt (+ (* H -98/5) (* v v))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (sqrt (+ (* H -98/5) (* v 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 (+ (* H -98/5) (* v v))) (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 (+ (* H -98/5) (* v v))) (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 (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)))
#s(approx (+ (* -49/5 (/ H (* v v))) 1) (neg.f64 (.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) H)) H)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))
#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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) (/.f64 (.f64 #s(literal 5/98 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) (.f64 (.f64 #s(literal 98/5 binary64) (*.f64 H H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))

eval71.0ms (2.2%)

Memory: -21.2MiB live, 74.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 556 to 2 172 computations (82.7% saved)

prune17.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	387	12	399
Fresh	5	4	9
Picked	2	3	5
Done	0	0	0
Total	394	19	413

Accuracy

100.0%

Counts

413 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.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)))))
	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)))))
✓	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)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) v)))
	30.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H))) (-.f64 (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))) v)))
▶	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)))
	39.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
▶	16.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)))
	33.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)))
	28.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 5/196 binary64) (.f64 H (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))) H))))
	28.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
▶	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 1 329 to 858 computations (35.4% saved)

series35.0ms (1.1%)

Memory

-10.7MiB live, 35.5MiB allocated; 3ms collecting garbage

Counts

39 → 102

Calls

Call 1

Inputs
(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))))
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)
H
#s(literal -49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v))
(*.f64 #s(literal -49/5 binary64) H)
(*.f64 v v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.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)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
(fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H))
(.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
#s(literal 5/196 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H)))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))
(/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) 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 (* (+ (* -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 (- (/ (* -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 (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ v (sqrt (* -98/5 H)))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (* -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H))))))
#s(approx (/ (* v v) (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ (pow v 2) (* H (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))) (pow v 2))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* (pow v 2) (sqrt (* -98/5 H)))))
#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 (- (/ (* -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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* 5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* (pow v 3) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* (pow v 2) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 5/196 (* H (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H)))))))
#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 (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 H #s(hole binary64 H))
#s(approx (* -49/5 H) #s(hole binary64 (* -49/5 H)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H)))) (/ (* H v) (sqrt (* -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H)))) H)))
#s(approx (* (sqrt (* -98/5 H)) H) #s(hole binary64 (* H (sqrt (* -98/5 H)))))
#s(approx (sqrt (* -98/5 H)) #s(hole binary64 (sqrt (* -98/5 H))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (sqrt (* -98/5 H)))) (/ H (* (pow v 2) (sqrt (* -98/5 H))))) 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 (* (+ (* -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 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (/ (* v v) (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))
#s(approx (* (sqrt (* -98/5 H)) H) #s(hole binary64 (* (pow H 2) (sqrt (/ -98/5 H)))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H)))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* H (* (pow v 2) (sqrt (/ -98/5 H))))))
#s(approx (/ 5/196 (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ 5/196 (* (pow H 2) (sqrt (/ -98/5 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 (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)))))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H))))
#s(approx (/ (* v v) (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (* -1 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (* (sqrt (* -98/5 H)) H) #s(hole binary64 (* -1 (* (pow H 2) (sqrt (/ -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ -1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* -1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (/ 5/196 (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ -5/196 (* (pow H 2) (sqrt (/ -98/5 H))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (/ (* -49/5 H) (* v v)) (* -49/5 H) (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (+ (* (/ (* v v) (* (sqrt (* -98/5 H)) H)) 5/196) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (sqrt (* -98/5 H)) H)) (* (sqrt (* -98/5 H)) H) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 5/196 (/ 1 (sqrt (* -98/5 H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (/ 5/196 (* (sqrt (* -98/5 H)) H)))
6.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (/ (* -49/5 H) (* v v)) (* -49/5 H) (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (+ (* (/ (* v v) (* (sqrt (* -98/5 H)) H)) 5/196) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (sqrt (* -98/5 H)) H)) (* (sqrt (* -98/5 H)) H) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 5/196 (/ 1 (sqrt (* -98/5 H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (/ 5/196 (* (sqrt (* -98/5 H)) H)))
5.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (/ (* -49/5 H) (* v v)) (* -49/5 H) (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (+ (* (/ (* v v) (* (sqrt (* -98/5 H)) H)) 5/196) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (sqrt (* -98/5 H)) H)) (* (sqrt (* -98/5 H)) H) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 5/196 (/ 1 (sqrt (* -98/5 H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (/ 5/196 (* (sqrt (* -98/5 H)) H)))
4.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (/ (* -49/5 H) (* v v)) (* -49/5 H) (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (+ (* (/ (* v v) (* (sqrt (* -98/5 H)) H)) 5/196) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (sqrt (* -98/5 H)) H)) (* (sqrt (* -98/5 H)) H) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 5/196 (/ 1 (sqrt (* -98/5 H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (/ 5/196 (* (sqrt (* -98/5 H)) H)))
4.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (+ (* (/ H v) -49/5) v) (/ H v) H -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (/ (* -49/5 H) (* v v)) (* -49/5 H) (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (+ (* (/ (* v v) (* (sqrt (* -98/5 H)) H)) 5/196) (/ 1 (sqrt (* -98/5 H)))) (/ (* v v) (* (sqrt (* -98/5 H)) H)) (* (sqrt (* -98/5 H)) H) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 5/196 (/ 1 (sqrt (* -98/5 H))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (/ 5/196 (* (sqrt (* -98/5 H)) H)))

rewrite190.0ms (5.8%)

Memory

5.3MiB live, 186.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	4142
0	558	3829
1	2684	3650
0	8337	3437

Stop Event

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

Counts

141 → 324

Calls

Call 1

Inputs
(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))))
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)
H
#s(literal -49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v))
(*.f64 #s(literal -49/5 binary64) H)
(*.f64 v v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.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)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
(fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(/.f64 (.f64 v v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H))
(.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
#s(literal 5/196 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v)))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H)))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))
(/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) 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 (* (+ (* -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 (- (/ (* -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 (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ v (sqrt (* -98/5 H)))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (* -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H))))))
#s(approx (/ (* v v) (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ (pow v 2) (* H (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))) (pow v 2))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* (pow v 2) (sqrt (* -98/5 H)))))
#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 (- (/ (* -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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* 5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* (pow v 3) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
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#s(approx (* (+ (* -49/5 (/ H (* v v))) 1) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx H #s(hole binary64 H))
#s(approx (* -49/5 H) #s(hole binary64 (* -49/5 H)))
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#s(approx (sqrt (* -98/5 H)) #s(hole binary64 (sqrt (* -98/5 H))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (sqrt (* -98/5 H)))) (/ H (* (pow v 2) (sqrt (* -98/5 H))))) 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)))
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#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)))))))))))
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#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
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#s(approx (/ 5/196 (* (sqrt (* -98/5 H)) H)) #s(hole binary64 (/ 5/196 (* (pow H 2) (sqrt (/ -98/5 H))))))
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Outputs
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v
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#s(approx v v)
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#s(approx (/ H v) (/.f64 H v))
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#s(approx H H)
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#s(approx (* (sqrt (* -98/5 H)) H) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))) H))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ 5/196 (* (sqrt (* -98/5 H)) H)) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H 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 (+.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 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (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)))) #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 (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 (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)))
#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 (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ (* v v) (* (sqrt (* -98/5 H)) H)) (/.f64 (neg.f64 (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H))))
#s(approx (* (sqrt (* -98/5 H)) H) (neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))) H)))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) (neg.f64 (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (/ 5/196 (* (sqrt (* -98/5 H)) H)) (/.f64 #s(literal -5/196 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))))

eval159.0ms (4.9%)

Memory: 6.8MiB live, 117.0MiB allocated; 181ms collecting garbage
Compiler: Compiled 20 282 to 2 593 computations (87.2% saved)

prune25.0ms (0.8%)

Memory

-13.4MiB live, 41.3MiB allocated; 8ms collecting garbage

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	350	5	355
Fresh	2	9	11
Picked	1	4	5
Done	0	3	3
Total	353	21	374

Accuracy

100.0%

Counts

374 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.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)))))
	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)))))
✓	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)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H)))))) v)))
✓	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)))
	39.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
	11.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (/.f64 #s(literal 5/196 binary64) H))) (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))) v)))
▶	19.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)))
	17.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 H (.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) (.f64 v v))) v)))
▶	33.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)))
▶	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) 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))))))
	28.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 5/196 binary64) (.f64 H (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))) H))))
	28.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
✓	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 1 487 to 937 computations (37% saved)

series49.0ms (1.5%)

Memory

-1.1MiB live, 89.0MiB allocated; 11ms collecting garbage

Counts

47 → 133

Calls

Call 1

Inputs
(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))))
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 (* (+ (* -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)
H
(/.f64 #s(literal 49/5 binary64) v)
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #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 (/ v (sqrt (- (* v v) (* (* 2 49/5) 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 (- (/ (* -49/5 H) (* v v)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))))
(neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(*.f64 v v)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v)))
(.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v)))
(.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
(/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)
(fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
(/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))
(*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)
(sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))
(/.f64 #s(literal -98/5 binary64) H)
#s(literal 5/196 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 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 (* (+ (* -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 v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (neg (+ (* (/ 49/5 (* v v)) H) 1)) #s(hole binary64 (/ (- (* -1 (pow v 2)) (* 49/5 H)) (pow v 2))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ 49/5 (* v v)) #s(hole binary64 (/ 49/5 (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ v (sqrt (* -98/5 H)))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (* -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H))))) (/ 1 (sqrt (* -98/5 H)))) (pow v 2))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* (pow v 2) (sqrt (* -98/5 H)))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (- (* -5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))) (/ 1 (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) #s(hole binary64 (/ 1 (* H (sqrt (/ -98/5 H))))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))) (/ 1 (* H (sqrt (/ -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (/ 1 (sqrt (/ -98/5 H)))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))
#s(approx (/ (* v v) (* (sqrt (/ -98/5 H)) H)) #s(hole binary64 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))))
#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 H) (/ 49/5 v)) #s(hole binary64 (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 -1))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* 5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* (pow v 3) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* (pow v 2) (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H))))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 5/196 (* H (sqrt (* -98/5 H))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (+ (* 5/196 (/ 1 (* H (sqrt (* -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (* -98/5 H)))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (* (pow v 2) (+ (* 5/196 (/ 1 (* (pow H 2) (sqrt (/ -98/5 H))))) (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H))))))))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* 5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* (pow v 2) (+ (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H))))) (* 5/196 (/ 1 (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H)))))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (* (pow v 2) (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))))))
#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 (- (* 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 H #s(hole binary64 H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H)))) (/ (* H v) (sqrt (* -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H)))) H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (sqrt (* -98/5 H)))) (/ H (* (pow v 2) (sqrt (* -98/5 H))))) H)))
#s(approx (sqrt (* -98/5 H)) #s(hole binary64 (sqrt (* -98/5 H))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -5/196 (/ (pow v 2) (* H (sqrt (* -98/5 H)))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -1 (/ H (sqrt (* -98/5 H)))) (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H))))) H)))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H))))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H))))))
#s(approx (/ (* v v) (* (sqrt (/ -98/5 H)) H)) #s(hole binary64 (/ (pow v 2) (sqrt (* -98/5 H)))))
#s(approx (sqrt (/ -98/5 H)) #s(hole binary64 (/ (sqrt (* -98/5 H)) H)))
#s(approx (/ -98/5 H) #s(hole binary64 (/ -98/5 H)))
#s(approx (/ 1 (sqrt (/ -98/5 H))) #s(hole binary64 (/ H (sqrt (* -98/5 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 (* (+ (* -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 (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H)))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* H (* (pow v 2) (sqrt (/ -98/5 H))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (sqrt (/ -98/5 H)) #s(hole binary64 (sqrt (/ -98/5 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 (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)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ -1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* -1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* -1 (/ (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) H (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (neg (+ (* (/ 49/5 (* v v)) H) 1)) (+ (* (/ 49/5 (* v v)) H) 1) (/ 49/5 (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (sqrt (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) 5/196 (/ 1 (sqrt (/ -98/5 H))))
9.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) H (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (neg (+ (* (/ 49/5 (* v v)) H) 1)) (+ (* (/ 49/5 (* v v)) H) 1) (/ 49/5 (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (sqrt (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) 5/196 (/ 1 (sqrt (/ -98/5 H))))
6.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) H (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (neg (+ (* (/ 49/5 (* v v)) H) 1)) (+ (* (/ 49/5 (* v v)) H) 1) (/ 49/5 (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (sqrt (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) 5/196 (/ 1 (sqrt (/ -98/5 H))))
5.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) H (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (neg (+ (* (/ 49/5 (* v v)) H) 1)) (+ (* (/ 49/5 (* v v)) H) 1) (/ 49/5 (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (sqrt (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) 5/196 (/ 1 (sqrt (/ -98/5 H))))
5.0ms	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))) (* (+ (* -49/5 (/ H (* v v))) 1) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) H (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (/ (* -49/5 H) (* v v)) 1) (neg (+ (* (/ 49/5 (* v v)) H) 1)) (+ (* (/ 49/5 (* v v)) H) 1) (/ 49/5 (* v v)) (* v v) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (* (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (* v v)) (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (* (sqrt (* -98/5 H)) (* v v)) (sqrt (* -98/5 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) 5/196 (/ 1 (sqrt (/ -98/5 H))))

rewrite191.0ms (5.9%)

Memory

-0.4MiB live, 229.2MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	610	5224
0	660	4868
1	3070	4663
0	8580	4440

Stop Event

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

Counts

180 → 358

Calls

Call 1

Inputs
(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))))
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 (* (+ (* -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)
H
(/.f64 #s(literal 49/5 binary64) v)
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #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 (/ v (sqrt (- (* v v) (* (* 2 49/5) 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 (- (/ (* -49/5 H) (* v v)) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))))
(neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(*.f64 v v)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v))
(.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v)))
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#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (- (/ v H) (* 49/5 (/ 1 v)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) #s(hole binary64 (/ (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H)))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* H (* (pow v 2) (sqrt (/ -98/5 H))))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H)))) H)))
#s(approx (sqrt (/ -98/5 H)) #s(hole binary64 (sqrt (/ -98/5 H))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
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#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))))))))))
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#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)))))))
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#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) #s(hole binary64 (* -1 (/ (+ (* 5/196 (/ 1 (* H (sqrt (/ -98/5 H))))) (/ 1 (* (pow v 2) (sqrt (/ -98/5 H))))) H))))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) #s(hole binary64 (* -1 (* H (* (pow v 2) (sqrt (/ -98/5 H)))))))
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Outputs
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v
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H
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#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/.f64 (-.f64 (neg.f64 (/.f64 H (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 5/196 binary64) (.f64 v v)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) H))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/.f64 (.f64 #s(literal 5/196 binary64) (.f64 v v)) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 5/196 binary64) (/.f64 H (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (/ (* v v) (* (sqrt (/ -98/5 H)) H)) (/.f64 (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (/ -98/5 H)) (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H))
#s(approx (/ -98/5 H) (/.f64 #s(literal -98/5 binary64) H))
#s(approx (/ 1 (sqrt (/ -98/5 H))) (/.f64 H (sqrt.f64 (*.f64 #s(literal -98/5 binary64) 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 (+.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 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (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)))) #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 (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 (.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 (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 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 (- (/ v H) (/ 49/5 v)) (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (-.f64 (/.f64 (.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 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))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))) H))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (neg (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal -5/196 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
#s(approx (sqrt (/ -98/5 H)) (sqrt.f64 (/.f64 #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 (+.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 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (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)))) #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 (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 (.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 (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 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 v v) H)) #s(literal 98/5 binary64)) H)))
#s(approx (- (/ (* -49/5 H) (* v v)) 1) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (/ 49/5 (* v v)) H) 1) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (neg.f64 H)))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))) H)))
#s(approx (* (sqrt (* -98/5 H)) (* v v)) (neg.f64 (.f64 (.f64 H (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))
#s(approx (/ (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) H) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal -5/196 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))

eval51.0ms (1.6%)

Memory: 16.7MiB live, 105.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 20 690 to 2 811 computations (86.4% saved)

prune26.0ms (0.8%)

Memory

20.3MiB live, 65.9MiB allocated; 6ms collecting garbage

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	368	3	371
Fresh	3	6	9
Picked	1	4	5
Done	0	7	7
Total	372	20	392

Accuracy

100.0%

Counts

392 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.2%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.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)))))
	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)))))
✓	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)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H)))))) v)))
✓	30.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)))
	39.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
	21.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (.f64 #s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v) v))) v) v)) v)))
✓	19.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)))
	33.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H))) v)))
	39.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 #s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)))
✓	2.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) 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))))))
	28.5%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
✓	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 2 193 to 801 computations (63.5% saved)

regimes57.0ms (1.7%)

Memory

8.6MiB live, 100.3MiB allocated; 25ms collecting garbage

Counts

35 → 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) 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))))))
(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 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 #s(approx (+ (* (/ (* v v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ 1 (sqrt (/ -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) 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 (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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (.f64 #s(approx (+ (/ 1 (* (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v) v))) v) v)) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v)))) (.f64 v v))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 #s(approx (+ (/ 1 ( (sqrt (* -98/5 H)) (* v v))) (/ 5/196 (* (sqrt (* -98/5 H)) H))) (/.f64 #s(literal -1 binary64) (.f64 (.f64 H (.f64 v v)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) (.f64 v v))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))) v)))
(atan.f64 (/.f64 v (exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal 1/2 binary64)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.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 -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 5/196 binary64) (.f64 H (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))) H))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (fma.f64 (/.f64 (.f64 v v) (.f64 (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H)))))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 v v))) (/.f64 #s(literal 5/196 binary64) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) H))) (*.f64 v v))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) H)) #s(literal 5/196 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (/.f64 #s(literal 5/196 binary64) H))) (.f64 #s(literal -98/5 binary64) H)) (*.f64 v v))) v)))
(atan.f64 #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))))
(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))))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) H))) (-.f64 (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))) 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

5 calls:

19.0ms	H
11.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
9.0ms	v
8.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
7.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
82.6%	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`
82.6%	2	`H`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes448.0ms (13.8%)

Memory

-110.8MiB live, 62.3MiB allocated; 841ms 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) 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))))))
(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)))))

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:

431.0ms

13.0ms

(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 26 to 23 computations (11.5% saved)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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 25 to 21 computations (16% saved)

regimes4.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 #s(approx (+ ( (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.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)))) #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
96.5%	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 25 to 21 computations (16% saved)

regimes16.0ms (0.5%)

Memory

-29.7MiB live, 18.6MiB allocated; 15ms 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:

11.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	H
1.0ms	v
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

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 32 to 31 computations (3.1% saved)

regimes5.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	H
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
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 32 to 31 computations (3.1% saved)

bsearch2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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 41 to 39 computations (4.9% 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

0.8MiB live, 0.8MiB 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 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 16 to 16 computations (0% saved)

derivations160.0ms (4.9%)

Memory

-18.4MiB live, 170.4MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 337 to 65 computations (80.7% saved)

preprocess117.0ms (3.6%)

Memory: 18.2MiB live, 205.4MiB allocated; 26ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 1 024 to 402 computations (60.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze26.0ms (0.8%)

sample943.0ms (29%)

preprocess132.0ms (4%)

series24.0ms (0.7%)

rewrite263.0ms (8.1%)

eval20.0ms (0.6%)

prune13.0ms (0.4%)

series30.0ms (0.9%)

rewrite177.0ms (5.4%)

eval71.0ms (2.2%)

prune17.0ms (0.5%)

series35.0ms (1.1%)

rewrite190.0ms (5.8%)

eval159.0ms (4.9%)

prune25.0ms (0.8%)

series49.0ms (1.5%)

rewrite191.0ms (5.9%)

eval51.0ms (1.6%)

prune26.0ms (0.8%)

regimes57.0ms (1.7%)

regimes448.0ms (13.8%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes16.0ms (0.5%)

regimes5.0ms (0.2%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations160.0ms (4.9%)

preprocess117.0ms (3.6%)

end0.0ms (0%)

Profiling