Metrics for Optimal throwing angle

start0.0ms (0%)

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

analyze44.0ms (1.3%)

Memory

-0.5MiB live, 88.6MiB allocated; 10ms 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)

sample1.2s (35.7%)

Memory

10.3MiB live, 1 436.4MiB allocated; 410ms collecting garbage

Samples

865.0ms	8 256×	0	valid
40.0ms	117×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 619.0ms

ival-mult!: 269.0ms (43.5% of total)

ival-div!: 140.0ms (22.6% of total)

ival-atan: 103.0ms (16.7% of total)

ival-sqrt: 87.0ms (14.1% of total)

ival-sub!: 19.0ms (3.1% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess125.0ms (3.8%)

Memory

-6.8MiB live, 39.9MiB allocated; 4ms 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
▶	73.7%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Symmetry

(negabs v)

Compiler

Compiled 22 to 22 computations (0% saved)

series24.0ms (0.7%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Counts

11 → 59

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
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))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 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))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 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))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 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))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
3.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)

rewrite181.0ms (5.5%)

Memory

-20.0MiB live, 226.6MiB allocated; 25ms 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)))

eval19.0ms (0.6%)

Memory: 36.1MiB live, 36.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 245 to 877 computations (60.9% saved)

prune13.0ms (0.4%)

Memory

-31.5MiB live, 23.9MiB allocated; 6ms 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
	66.6%	(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
	26.0%	(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))))))
▶	73.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	24.0%	(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))))))))
	48.3%	(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))))))
	45.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	67.7%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))
	45.2%	(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)))))
▶	59.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
	3.1%	(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))))
▶	38.0%	(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)))
	26.3%	(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))))
	60.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶	1.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 486 to 448 computations (7.8% saved)

series43.0ms (1.3%)

Memory

23.0MiB live, 69.2MiB allocated; 5ms collecting garbage

Counts

34 → 97

Calls

Call 1

Inputs
(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))))
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))
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)))
#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))
(/.f64 H (*.f64 v v))
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))
(fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v))
(/.f64 H (fabs.f64 v))
(fabs.f64 v)
#s(literal -49/5 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 (+ (* 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 v #s(hole binary64 v))
#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) #s(hole binary64 (pow v 2)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (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 (+ (* (/ H (fabs v)) -49/5) (fabs v)) #s(hole binary64 (+ (fabs v) (* -49/5 (/ H (fabs v))))))
#s(approx (/ H (fabs v)) #s(hole binary64 (/ H (fabs v))))
#s(approx (fabs v) #s(hole binary64 (fabs v)))
#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 (+ (* H -98/5) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (+ (* (/ (* v 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/125 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (/ v (sqrt (pow v 2)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ (* H v) (pow (sqrt (pow v 2)) 3))) (/ v (sqrt (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* H (- (* H (- (* -1 (* H (+ (* -117649/125 (/ v (pow (sqrt (pow v 2)) 7))) (* 49/5 (/ (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))) (pow (sqrt (pow v 2)) 2)))))) (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (sqrt (pow v 2))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* -49/5 (/ H (sqrt (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* H (- (* -117649/250 (/ H (pow (sqrt (pow v 2)) 5))) (* 2401/50 (/ 1 (pow (sqrt (pow v 2)) 3))))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
#s(approx 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (sqrt (/ -98/5 H)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) #s(hole binary64 (* -49/5 (/ H (fabs v)))))
#s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) #s(hole binary64 (* H (- (/ (fabs v) H) (* 49/5 (/ 1 (fabs v)))))))
#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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v)))) #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 (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) #s(hole binary64 (* -1 (* H (+ (* -1 (/ (fabs v) H)) (* 49/5 (/ 1 (fabs v))))))))
#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
10.0ms	v	@	-inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H (fabs v)) -49/5) (fabs v)) (/ H (fabs v)) (fabs v) -49/5 (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))))
9.0ms	v	@	0	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H (fabs v)) -49/5) (fabs v)) (/ H (fabs v)) (fabs v) -49/5 (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))))
5.0ms	H	@	-inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H (fabs v)) -49/5) (fabs v)) (/ H (fabs v)) (fabs v) -49/5 (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))))
5.0ms	H	@	inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H (fabs v)) -49/5) (fabs v)) (/ H (fabs v)) (fabs v) -49/5 (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))))
5.0ms	v	@	inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H (fabs v)) -49/5) (fabs v)) (/ H (fabs v)) (fabs v) -49/5 (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))))

rewrite214.0ms (6.5%)

Memory

16.4MiB live, 286.9MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	3555
0	573	3223
1	2928	3043
0	8091	2908

Stop Event

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

Counts

131 → 376

Calls

Call 1

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

Outputs
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(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
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(/.f64 (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))))
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(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
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(hypot.f64 (exp.f64 (log.f64 v)) (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
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(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)))
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(hypot.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) (fabs.f64 v))
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(hypot.f64 (fabs.f64 v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
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(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) (exp.f64 (log.f64 v)))
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#s(literal -1/2 binary64)
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#s(approx v v)
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#s(approx (+ (* (/ H (* v v)) 49/5) 1) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (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 (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (.f64 #s(literal -98/5 binary64) H))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
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#s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))
#s(approx (/ H (fabs v)) (/.f64 H (fabs.f64 v)))
#s(approx (fabs v) (fabs.f64 v))
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#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))))
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#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)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 v (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) H) (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal -2401/50 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* H -98/5) (* v v)) (.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) H)) #s(literal 5/196 binary64)))
#s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) 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 (.f64 v v) v)))
#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 (.f64 #s(literal 5/196 binary64) (.f64 v v)) (.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)))) (.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)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (neg.f64 (.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 7203/50 binary64))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 v (fabs.f64 v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 H (/.f64 v (.f64 (*.f64 v v) v))) #s(literal 49/5 binary64) (/.f64 v (fabs.f64 v))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (fma.f64 H (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 (/.f64 v (pow.f64 v #s(literal 5 binary64))) #s(literal -7203/50 binary64)) (.f64 v v)) #s(literal 49/5 binary64) (.f64 (/.f64 v (pow.f64 v #s(literal 7 binary64))) #s(literal -117649/125 binary64))) H)) (.f64 (/.f64 v (pow.f64 v #s(literal 5 binary64))) #s(literal -7203/50 binary64))) (.f64 #s(literal 49/5 binary64) (/.f64 v (.f64 (.f64 v v) v)))) (/.f64 v (fabs.f64 v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fabs.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (.f64 (/.f64 H (.f64 (*.f64 v v) v)) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H (fabs.f64 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64)) (/.f64 #s(literal 2401/50 binary64) (.f64 (.f64 v v) v))) H) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H (fabs.f64 v)))
#s(approx H H)
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#s(approx (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) (/.f64 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H))
#s(approx (* (* -98/5 H) (sqrt (* -98/5 H))) (.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) (*.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))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H))
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#s(approx (+ (* H -98/5) (* v v)) (.f64 (-.f64 (/.f64 (.f64 v v) H) #s(literal 98/5 binary64)) H))
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#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))
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#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))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (-.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 v #s(literal 5 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 v #s(literal 5 binary64)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) (*.f64 H H)))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 H (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (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 (+ (* H -98/5) (* v v)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (.f64 v v) H)) #s(literal 98/5 binary64)) 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 (fabs v)) -49/5) (fabs v)) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fabs.f64 v) H)) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) 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))))

eval88.0ms (2.7%)

Memory: -35.8MiB live, 113.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 5 062 to 2 156 computations (57.4% saved)

prune17.0ms (0.5%)

Memory

33.7MiB live, 33.7MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	379	11	390
Fresh	3	6	9
Picked	1	4	5
Done	0	0	0
Total	383	21	404

Accuracy

100.0%

Counts

404 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
✓	73.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	24.0%	(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))))))))
	48.3%	(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))))))
	45.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	67.7%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))
	45.2%	(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)))))
	57.4%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) (*.f64 (-.f64 (/.f64 (fabs.f64 v) H) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H)))))
	60.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓	59.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
▶	3.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))))
	38.1%	(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) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64))) v)))
▶	40.7%	(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 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)) v)))
	45.2%	(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(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) v)))
	45.2%	(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(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))) v)))
	15.6%	(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)))
	40.8%	(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)))
	32.7%	(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 (/.f64 (fma.f64 H v (.f64 #s(literal 5/196 binary64) (.f64 (.f64 v v) v))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H))))
▶	35.2%	(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)))))
▶	60.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	1.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 955 to 860 computations (9.9% saved)

series110.0ms (3.3%)

Memory

-5.0MiB live, 89.8MiB allocated; 49ms collecting garbage

Counts

38 → 133

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(hole binary64 (atan (/ v (sqrt (+ (pow v 2) (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (/ v (sqrt (pow (sqrt (* -98/5 H)) 2)))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))) (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 5))) (* 1/2 (/ 1 (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))))) (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 7))) (* 3/8 (/ 1 (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 5))))) (* 1/2 (/ 1 (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))))) (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (sqrt (pow (sqrt (* -98/5 H)) 2))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (+ (sqrt (pow (sqrt (* -98/5 H)) 2)) (* 1/2 (/ (pow v 2) (sqrt (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (+ (sqrt (pow (sqrt (* -98/5 H)) 2)) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))) (* 1/2 (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (+ (sqrt (pow (sqrt (* -98/5 H)) 2)) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (- (* (/ H (* v v)) -49/5) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
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#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) H))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (pow H 4))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3))))) H))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))))) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 7)))) (pow H 6))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3))))))) H))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (pow (sqrt (/ -98/5 H)) 2))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2))))))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2)))))))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2))))))))))))
#s(approx (sqrt (* -98/5 H)) #s(hole binary64 (* -1 (* H (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 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (- (* (/ H (* v v)) -49/5) 1) #s(hole binary64 (* -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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (/ -1 (sqrt (/ -98/5 H)))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))
#s(approx (+ (* 5/196 (* v v)) H) #s(hole binary64 (* -1 (* H (- (* -5/196 (/ (pow v 2) H)) 1)))))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (/ (- (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (* -1 (/ v (sqrt (/ -98/5 H))))) H))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* -1 (/ (+ (* -1 (/ v (sqrt (/ -98/5 H)))) (* -5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H)))))) H))))

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	H	@	inf	((atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* (/ H (* v v)) -49/5) 1) (* (/ H (* v v)) -49/5) (/ H (* v v)) (* v v) -49/5 (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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (+ (* 5/196 (* v v)) H) 5/196 (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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) (* (* v v) v) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) (/ v (sqrt (/ -98/5 H))))
29.0ms	v	@	0	((atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* (/ H (* v v)) -49/5) 1) (* (/ H (* v v)) -49/5) (/ H (* v v)) (* v v) -49/5 (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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (+ (* 5/196 (* v v)) H) 5/196 (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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) (* (* v v) v) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) (/ v (sqrt (/ -98/5 H))))
14.0ms	v	@	inf	((atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* (/ H (* v v)) -49/5) 1) (* (/ H (* v v)) -49/5) (/ H (* v v)) (* v v) -49/5 (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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (+ (* 5/196 (* v v)) H) 5/196 (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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) (* (* v v) v) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) (/ v (sqrt (/ -98/5 H))))
8.0ms	H	@	-inf	((atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* (/ H (* v v)) -49/5) 1) (* (/ H (* v v)) -49/5) (/ H (* v v)) (* v v) -49/5 (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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (+ (* 5/196 (* v v)) H) 5/196 (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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) (* (* v v) v) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) (/ v (sqrt (/ -98/5 H))))
7.0ms	v	@	-inf	((atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (sqrt (* -98/5 H)) (* -98/5 H) -98/5 H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* (/ H (* v v)) -49/5) 1) (* (/ H (* v v)) -49/5) (/ H (* v v)) (* v v) -49/5 (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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (+ (* 5/196 (* v v)) H) 5/196 (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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) (* (* v v) v) (* (sqrt (/ -98/5 H)) H) (sqrt (/ -98/5 H)) (/ -98/5 H) (/ v (sqrt (/ -98/5 H))))

rewrite202.0ms (6.2%)

Memory

1.6MiB live, 234.9MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	5704
0	730	4944
1	3725	4730
0	8335	4625

Stop Event

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

Counts

171 → 448

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
(/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))
v
(hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))
(/.f64 H (*.f64 v v))
(*.f64 v 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 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (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)))) (/.f64 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (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)))) (/.f64 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (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)))) (/.f64 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H))
(/.f64 (/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)
(/.f64 (fma.f64 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))
(fma.f64 #s(literal 5/196 binary64) (*.f64 v v) H)
#s(literal 5/196 binary64)
(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)))))
#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))))
#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)))
(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))
(/.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)
(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))))
(/.f64 (.f64 (.f64 v v) v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H))
(.f64 (.f64 v v) v)
(*.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)
(/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))
#s(approx (atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) #s(hole binary64 (atan (/ v (sqrt (+ (pow v 2) (pow (sqrt (* -98/5 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (/ v (sqrt (pow (sqrt (* -98/5 H)) 2)))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (pow (sqrt (* -98/5 H)) 2)) 3))) (/ 1 (sqrt (pow (sqrt (* -98/5 H)) 2)))))))
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#s(approx (* v v) #s(hole binary64 (pow v 2)))
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#s(approx (+ (* 5/196 (* v v)) H) #s(hole binary64 H))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H)))
#s(approx (- (* (/ H (* v v)) -49/5) 1) #s(hole binary64 (* -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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (/ 1 (sqrt (/ -98/5 H)))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))
#s(approx (+ (* 5/196 (* v v)) H) #s(hole binary64 (* H (+ 1 (* 5/196 (/ (pow v 2) H))))))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H))))))
#s(approx (sqrt (/ -98/5 H)) #s(hole binary64 (sqrt (/ -98/5 H))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (pow (sqrt (/ -98/5 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) H))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (pow H 4))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3))))) H))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5))))) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 7)))) (pow H 6))) (/ v (sqrt (pow (sqrt (/ -98/5 H)) 2)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3))))))) H))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (pow (sqrt (/ -98/5 H)) 2))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2))))))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2)))))))))))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (pow (sqrt (/ -98/5 H)) 2)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (pow (sqrt (/ -98/5 H)) 2)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (pow (sqrt (/ -98/5 H)) 2))))))))))))
#s(approx (sqrt (* -98/5 H)) #s(hole binary64 (* -1 (* H (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 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (- (* (/ H (* v v)) -49/5) 1) #s(hole binary64 (* -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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (/ -1 (sqrt (/ -98/5 H)))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))
#s(approx (+ (* 5/196 (* v v)) H) #s(hole binary64 (* -1 (* H (- (* -5/196 (/ (pow v 2) H)) 1)))))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (/ (- (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (* -1 (/ v (sqrt (/ -98/5 H))))) H))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* -1 (/ (+ (* -1 (/ v (sqrt (/ -98/5 H)))) (* -5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H)))))) H))))

Outputs
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(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 9604/25 binary64) (.f64 H H)))) (sqrt.f64 (-.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal 9604/25 binary64) (.f64 H H)))) (sqrt.f64 (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))))
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(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 v v) (.f64 #s(literal -941192/125 binary64) (.f64 (.f64 H H) H)))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v v) (-.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)) (.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))))
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (neg.f64 v)))
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(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (exp.f64 (log.f64 (fabs.f64 v))))
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(hypot.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v)
(hypot.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(hypot.f64 (neg.f64 (neg.f64 v)) (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(hypot.f64 (neg.f64 (neg.f64 v)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 v)) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
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(hypot.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (exp.f64 (log.f64 v)))
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(hypot.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (pow.f64 (neg.f64 v) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (fabs.f64 v)))
(hypot.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))
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(hypot.f64 (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v)
(hypot.f64 (exp.f64 (log.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(hypot.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(hypot.f64 (exp.f64 (log.f64 v)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)))
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(hypot.f64 (neg.f64 v) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)))
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(hypot.f64 (fabs.f64 v) (exp.f64 (log.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
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#s(approx (/ -98/5 H) (/.f64 #s(literal -98/5 binary64) H))
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#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (.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 (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (.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)))))
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#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (/.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))
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#s(approx (- (* (/ H (* v v)) -49/5) 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) (/.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)))) (/.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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (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)))))
#s(approx (+ (* 5/196 (* v v)) H) (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal 5/196 binary64) #s(literal 1 binary64)) H))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -5/196 binary64) (.f64 (.f64 v v) v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (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)))))
#s(approx (sqrt (/ -98/5 H)) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (.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 (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))) (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 (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (*.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 (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* 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 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
#s(approx (sqrt (* -98/5 H)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))
#s(approx (atan (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 H H)))) H)))
#s(approx (/ v (sqrt (+ (* (sqrt (* -98/5 H)) (sqrt (* -98/5 H))) (* v v)))) (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (/.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 5 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (/.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) #s(literal 7 binary64)))) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 H H) H) (.f64 (.f64 H H) H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (.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 (- (* (/ H (* v v)) -49/5) 1) (neg.f64 (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))))
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#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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (-.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)))))
#s(approx (+ (* 5/196 (* v v)) H) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 (*.f64 v v) H) #s(literal -5/196 binary64)) #s(literal 1 binary64)) H)))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 5/196 binary64) (.f64 (.f64 v v) v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) (/.f64 (neg.f64 v) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (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 (neg.f64 v) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))

eval124.0ms (3.8%)

Memory: -27.3MiB live, 117.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 426 to 3 208 computations (56.8% saved)

prune18.0ms (0.5%)

Memory

36.2MiB live, 36.2MiB allocated; 0ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	496	8	504
Fresh	8	4	12
Picked	2	3	5
Done	0	4	4
Total	506	19	525

Accuracy

100.0%

Counts

525 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(atan.f64 (/.f64 v (hypot.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) v)))
✓	66.6%	(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
✓	73.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	45.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	67.7%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))
	45.2%	(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)))))
	57.4%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) (*.f64 (-.f64 (/.f64 (fabs.f64 v) H) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H)))))
▶	60.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓	59.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓	3.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))))
	32.0%	(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 (fma.f64 (.f64 v v) #s(literal 5/196 binary64) H) (.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) H))) v)))
	15.3%	(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 (+ (* 5/196 (* v v)) H) (.f64 (+.f64 (/.f64 H (.f64 v v)) #s(literal 5/196 binary64)) (.f64 v v))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)) v)))
	45.2%	(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 (/.f64 #s(approx (+ (* 5/196 (* v v)) H) H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) H)) v)))
▶	45.2%	(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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)) v)))
	45.2%	(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(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v)))
	2.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (- (* (/ H (* v v)) -49/5) 1) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (neg.f64 (.f64 v v))) (.f64 v v)))))
▶	41.2%	(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
✓	60.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	1.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 792 to 717 computations (9.5% saved)

series75.0ms (2.3%)

Memory

4.2MiB live, 98.1MiB allocated; 3ms collecting garbage

Counts

40 → 159

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) #s(hole binary64 (atan (/ v (sqrt (+ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 3))) (/ 1 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 3))))) (/ 1 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 3))))) (/ 1 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) (* 1/2 (/ (pow v 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 3))) (* 1/2 (/ 1 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))) 3))))) (* 1/2 (/ 1 (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2))))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (- (pow v 2) (* 98/5 H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (/ v (sqrt (neg (* 98/5 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -1/2 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* 3/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -5/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 7))) (* 3/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 5))))) (* 1/2 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (/ 1 (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (sqrt (neg (* 98/5 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* 1/2 (/ (pow v 2) (sqrt (neg (* 98/5 H))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* -1/8 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 3))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (neg (* 98/5 H))) (* (pow v 2) (+ (* (pow v 2) (- (* 1/16 (/ (pow v 2) (pow (sqrt (neg (* 98/5 H))) 5))) (* 1/8 (/ 1 (pow (sqrt (neg (* 98/5 H))) 3))))) (* 1/2 (/ 1 (sqrt (neg (* 98/5 H))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (+ (* (/ (/ H v) v) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ (/ H v) v) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ (/ H v) v) #s(hole binary64 (/ H (pow v 2))))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#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 (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (/ v (* H (sqrt (/ -98/5 H)))))))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* v (- (* -5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))) (/ 1 (* H (sqrt (/ -98/5 H))))))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (/ v (* H (sqrt (/ -98/5 H))))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* v (+ (* 5/196 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))) (/ 1 (* H (sqrt (/ -98/5 H))))))))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #s(hole binary64 (/ v (sqrt (/ -98/5 H)))))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (/ H (sqrt (* -98/5 H)))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (+ (* 5/196 (/ (pow v 2) (sqrt (* -98/5 H)))) (/ H (sqrt (* -98/5 H))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (+ 1 (* -1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4))) (* -1/8 (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4)))) (pow v 4)))) (* 1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/2 (* (pow (sqrt 98/5) 2) (* (pow (sqrt (neg H)) 2) (+ (* -1/4 (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4))) (* -1/8 (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4))))))) (* 1/8 (* (pow (sqrt 98/5) 6) (pow (sqrt (neg H)) 6)))) (pow v 6)))) (+ (* -1/4 (/ (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4)) (pow v 4))) (+ (* -1/8 (/ (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4)) (pow v 4))) (* 1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* v (+ 1 (* 1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2)))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -1/8 (/ (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4)) (pow v 4))) (* 1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -1/8 (/ (* (pow (sqrt 98/5) 4) (pow (sqrt (neg H)) 4)) (pow v 4))) (+ (* 1/16 (/ (* (pow (sqrt 98/5) 6) (pow (sqrt (neg H)) 6)) (pow v 6))) (* 1/2 (/ (* (pow (sqrt 98/5) 2) (pow (sqrt (neg H)) 2)) (pow v 2)))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2))) (pow v 4)))) (* -49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -117649/125 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
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#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (* (pow v 3) (+ (/ 1 (* H (* (pow v 2) (sqrt (/ -98/5 H))))) (* 5/196 (/ 1 (* (pow H 2) (sqrt (/ -98/5 H))))))))))
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#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (sqrt (+ (* (pow (sqrt 98/5) 2) (pow (sqrt (* -1 H)) 2)) (pow v 2)))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* H (- (* -1 (* H (+ (* -2401/25 (/ v (pow (sqrt (pow v 2)) 5))) (* -2401/50 (/ v (pow (sqrt (pow v 2)) 5)))))) (* -49/5 (/ v (pow (sqrt (pow v 2)) 3))))) (/ v (sqrt (pow v 2))))))
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#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))))) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 7)))) (pow H 6))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3))))))) H))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))))))))
#s(approx (* (sqrt 98/5) (sqrt (neg H))) #s(hole binary64 (* -1 (* H (* (sqrt 98/5) (sqrt (/ -1 H)))))))
#s(approx (sqrt (neg H)) #s(hole binary64 (* -1 (* H (sqrt (/ -1 H))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* (/ (/ H v) v) 49/5) 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 (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (/ (- (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (* -1 (/ v (sqrt (/ -98/5 H))))) H))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* -1 (/ (+ (* -1 (/ v (sqrt (/ -98/5 H)))) (* -5/196 (/ (pow v 3) (* H (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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	H	@	inf	((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) (* (sqrt 98/5) (sqrt (neg H))) (sqrt 98/5) 98/5 (sqrt (neg H)) (neg H) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* 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)))) (+ (* (/ (/ H v) v) 49/5) 1) (/ (/ H v) v) (/ H v) 49/5 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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ v (sqrt (/ -98/5 H))) (sqrt (/ -98/5 H)) (/ -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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/ -1 (sqrt (/ -98/5 H))) -1)
9.0ms	H	@	-inf	((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) (* (sqrt 98/5) (sqrt (neg H))) (sqrt 98/5) 98/5 (sqrt (neg H)) (neg H) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* 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)))) (+ (* (/ (/ H v) v) 49/5) 1) (/ (/ H v) v) (/ H v) 49/5 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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ v (sqrt (/ -98/5 H))) (sqrt (/ -98/5 H)) (/ -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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/ -1 (sqrt (/ -98/5 H))) -1)
7.0ms	H	@	0	((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) (* (sqrt 98/5) (sqrt (neg H))) (sqrt 98/5) 98/5 (sqrt (neg H)) (neg H) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* 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)))) (+ (* (/ (/ H v) v) 49/5) 1) (/ (/ H v) v) (/ H v) 49/5 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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ v (sqrt (/ -98/5 H))) (sqrt (/ -98/5 H)) (/ -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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/ -1 (sqrt (/ -98/5 H))) -1)
7.0ms	v	@	0	((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) (* (sqrt 98/5) (sqrt (neg H))) (sqrt 98/5) 98/5 (sqrt (neg H)) (neg H) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* 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)))) (+ (* (/ (/ H v) v) 49/5) 1) (/ (/ H v) v) (/ H v) 49/5 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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ v (sqrt (/ -98/5 H))) (sqrt (/ -98/5 H)) (/ -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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/ -1 (sqrt (/ -98/5 H))) -1)
7.0ms	v	@	inf	((atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) (* (sqrt 98/5) (sqrt (neg H))) (sqrt 98/5) 98/5 (sqrt (neg H)) (neg H) H (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* 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)))) (+ (* (/ (/ H v) v) 49/5) 1) (/ (/ H v) v) (/ H v) 49/5 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) (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/ v (sqrt (/ -98/5 H))) (sqrt (/ -98/5 H)) (/ -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)))) (/ (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) H) (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/ -1 (sqrt (/ -98/5 H))) -1)

rewrite248.0ms (7.6%)

Memory

-21.2MiB live, 303.7MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	803	7212
0	838	6138
1	4238	5638
0	8826	5453

Stop Event

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

Counts

199 → 515

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (hypot.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) v)))
(/.f64 v (hypot.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) v))
v
(hypot.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) v)
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H)))
(sqrt.f64 #s(literal 98/5 binary64))
#s(literal 98/5 binary64)
(sqrt.f64 (neg.f64 H))
(neg.f64 H)
H
(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)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 (/.f64 H v) v)
(/.f64 H v)
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
#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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.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)))) v) (neg.f64 (/.f64 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
(neg.f64 (/.f64 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
(/.f64 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))
(/.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 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.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)))) (/.f64 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.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)))) (/.f64 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.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)))) (/.f64 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (sqrt (pow v 2)) (* H (- (* -2401/50 (/ H (pow (sqrt (pow v 2)) 3))) (* 49/5 (/ 1 (sqrt (pow v 2)))))))))
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#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 (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -5/196 (/ (pow v 3) (* H (sqrt (* -98/5 H)))))))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -1 (/ (* H v) (sqrt (* -98/5 H)))) (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H))))) H)))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #s(hole binary64 (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H))))))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 3) (sqrt (* -98/5 H)))) (/ (* H v) (sqrt (* -98/5 H))))))
#s(approx (/ v (sqrt (/ -98/5 H))) #s(hole binary64 (/ (* H v) (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 (+ (* (/ (* 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))) #s(hole binary64 (* -1 (/ H (sqrt (* -98/5 H))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (/ v (* H (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) H)))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (pow H 4))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3))))) H)))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))))) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 7)))) (pow H 6))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3))))))) H)))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* H (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))))))))
#s(approx (* (sqrt 98/5) (sqrt (neg H))) #s(hole binary64 (* H (* (sqrt 98/5) (sqrt (/ -1 H))))))
#s(approx (sqrt (neg H)) #s(hole binary64 (* H (sqrt (/ -1 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 (+ (* (/ (/ H v) v) 49/5) 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 (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (/ (- (* -5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H)))) H)))
#s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) #s(hole binary64 (+ (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (/ v (sqrt (/ -98/5 H))))))
#s(approx (sqrt (/ -98/5 H)) #s(hole binary64 (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 (* 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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (/ 1 (sqrt (/ -98/5 H)))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (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))) #s(hole binary64 (/ -1 (sqrt (/ -98/5 H)))))
#s(approx (atan (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))))) #s(hole binary64 (atan (/ v (sqrt (+ (* (pow (sqrt 98/5) 2) (pow (sqrt (* -1 H)) 2)) (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* -1 (/ v (* H (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) H))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (pow H 4))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3))))) H))))
#s(approx (/ v (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5))))) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 7)))) (pow H 6))) (/ v (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3))))))) H))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))))))))))))
#s(approx (sqrt (+ (* (* (sqrt 98/5) (sqrt (neg H))) (* (sqrt 98/5) (sqrt (neg H)))) (* v v))) #s(hole binary64 (* -1 (* H (+ (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2))) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (* (pow (sqrt 98/5) 2) (pow (sqrt (/ -1 H)) 2)))))))))))))
#s(approx (* (sqrt 98/5) (sqrt (neg H))) #s(hole binary64 (* -1 (* H (* (sqrt 98/5) (sqrt (/ -1 H)))))))
#s(approx (sqrt (neg H)) #s(hole binary64 (* -1 (* H (sqrt (/ -1 H))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (/ v (sqrt (+ (* -98/5 H) (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3)))) (/ v (sqrt (/ -98/5 H)))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5)))) (pow H 4))) (/ v (sqrt (/ -98/5 H)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))) H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* (pow v 2) (+ (* -1/4 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))) (* -1/8 (/ (pow v 5) (pow (sqrt (/ -98/5 H)) 5))))) (pow (sqrt (/ -98/5 H)) 2))) (* 1/8 (/ (pow v 7) (pow (sqrt (/ -98/5 H)) 7)))) (pow H 6))) (/ v (sqrt (/ -98/5 H)))) (+ (* -1/4 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (+ (* -1/8 (/ (pow v 5) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 3) (* (pow H 2) (pow (sqrt (/ -98/5 H)) 3))))))) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (sqrt (/ -98/5 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H)))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (sqrt (/ -98/5 H)) (+ (* -1/8 (/ (pow v 4) (* (pow H 4) (pow (sqrt (/ -98/5 H)) 3)))) (+ (* 1/16 (/ (pow v 6) (* (pow H 6) (pow (sqrt (/ -98/5 H)) 5)))) (* 1/2 (/ (pow v 2) (* (pow H 2) (sqrt (/ -98/5 H))))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* (/ (/ H v) v) 49/5) 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 (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) #s(hole binary64 (* -1 (/ (- (* 5/196 (/ (pow v 3) (* H (sqrt (/ -98/5 H))))) (* -1 (/ v (sqrt (/ -98/5 H))))) H))))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) #s(hole binary64 (* -1 (/ (+ (* -1 (/ v (sqrt (/ -98/5 H)))) (* -5/196 (/ (pow v 3) (* H (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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) #s(hole binary64 (- (* -5/196 (/ (pow v 2) (* H (sqrt (/ -98/5 H))))) (/ 1 (sqrt (/ -98/5 H))))))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)) (.f64 (.f64 v v) (.f64 v v)))) (sqrt.f64 (-.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
(/.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 #s(literal 9604/25 binary64) (.f64 H 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 v v) (.f64 v v)) (.f64 #s(literal 9604/25 binary64) (.f64 H H)))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) (.f64 (.f64 (.f64 H H) H) #s(literal 941192/125 binary64)))) (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v v) (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (.f64 H #s(literal 98/5 binary64)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (fabs.f64 (fabs.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (neg.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (neg.f64 (fabs.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (pow.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (neg.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (fabs.f64 (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
(hypot.f64 (fabs.f64 (sqrt.f64 (.f64 v v))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))
(hypot.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (fabs.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))))
(hypot.f64 (fabs.f64 (fabs.f64 v)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1 binary64)))
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#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)))) (/.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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (/ (+ (* 5/196 (* v v)) H) (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)))))
#s(approx (/ -1 (sqrt (/ -98/5 H))) (/.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))))) (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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 H H) (.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))) #s(literal -1/2 binary64) (/.f64 v (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))) 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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (/.f64 v (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))) (.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 H H) (.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))) #s(literal 1/2 binary64))) 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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))) #s(literal 5 binary64)))) #s(literal -3/8 binary64)) (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))) #s(literal -1/2 binary64) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 7 binary64)) (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))) #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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (pow.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) #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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) #s(literal 5/2 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (.f64 v v) v) (.f64 (.f64 H H) (.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))) #s(literal 1/2 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (fma.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))) (.f64 H H))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))) #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))) (.f64 H H))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (.f64 H H) (.f64 H H)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))) #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 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))) (.f64 H H))) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64))))))
#s(approx (* (sqrt 98/5) (sqrt (neg H))) (.f64 (neg.f64 H) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))
#s(approx (sqrt (neg H)) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -1 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)))) (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 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (.f64 (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64)) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (*.f64 H H)))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (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)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 (/.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (/.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 (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 #s(literal -98/5 binary64) H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))) (.f64 (.f64 H H) (.f64 H H)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (exp.f64 (-.f64 (.f64 (log.f64 v) #s(literal 6 binary64)) (.f64 (log.f64 H) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal -98/5 binary64) H) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) (.f64 (*.f64 H H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))))) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (neg.f64 H) (+.f64 (neg.f64 (/.f64 (.f64 v v) H)) #s(literal 98/5 binary64))))
#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 (* (+ (* (/ (* 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)))) (neg.f64 H)))
#s(approx (neg (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H)) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 5/196 binary64) (.f64 (.f64 v v) v)) (.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)) (/.f64 (neg.f64 v) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))
#s(approx (/ (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) H) (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 (neg.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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (-.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)))))

eval60.0ms (1.8%)

Memory: 11.2MiB live, 101.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 607 to 2 571 computations (61.1% saved)

prune35.0ms (1.1%)

Memory

-6.8MiB live, 46.6MiB allocated; 20ms collecting garbage

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	486	5	491
Fresh	1	6	7
Picked	1	4	5
Done	0	7	7
Total	488	22	510

Accuracy

100.0%

Counts

510 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	(atan.f64 (/.f64 v (hypot.f64 (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))) v)))
✓	66.6%	(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
✓	73.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	45.3%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	35.7%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (sqrt.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)))))))
✓	67.7%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))
	45.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
	45.2%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))))
	57.4%	(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) (*.f64 (-.f64 (/.f64 (fabs.f64 v) H) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H)))))
✓	60.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓	59.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓	3.1%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 1 binary64))))
	32.0%	(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 (fma.f64 (.f64 v v) #s(literal 5/196 binary64) H) (.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) H))) v)))
	15.3%	(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 (+ (* 5/196 (* v v)) H) (.f64 (+.f64 (/.f64 H (.f64 v v)) #s(literal 5/196 binary64)) (.f64 v v))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)) v)))
	45.2%	(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 (/.f64 #s(approx (+ (* 5/196 (* v v)) H) H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))) H)) v)))
	45.2%	(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 (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H)) v)))
	45.2%	(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(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v)))
	2.6%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (- (* (/ H (* v v)) -49/5) 1) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (neg.f64 (.f64 v v))) (.f64 v v)))))
	41.2%	(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H)))))
✓	41.2%	(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))
✓	60.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	1.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Compiler

Compiled 1 102 to 783 computations (28.9% saved)

regimes52.0ms (1.6%)

Memory

29.8MiB live, 77.3MiB allocated; 4ms collecting garbage

Counts

39 → 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 #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)))) (.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 H #s(literal -98/5 binary64))))) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.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))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (sqrt.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)))))))
(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (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))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 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(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) 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 #s(approx (+ (* 5/196 (* v v)) H) H) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) 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 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.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 (- (* (/ H (* v v)) -49/5) 1) (/.f64 (fma.f64 #s(literal -49/5 binary64) H (neg.f64 (.f64 v v))) (.f64 v v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 98/5 binary64)))))))
(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 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 #s(approx (/ (+ (* 5/196 (* v v)) H) (sqrt (* -98/5 H))) (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (neg.f64 H))))) H)) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H (fabs v)) -49/5) (fabs v)) (*.f64 (-.f64 (/.f64 (fabs.f64 v) H) (/.f64 #s(literal 49/5 binary64) (fabs.f64 v))) H)))))
(atan.f64 (/.f64 v (hypot.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) 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 (fma.f64 (.f64 v v) #s(literal 5/196 binary64) H) (.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) 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 #s(literal 5/196 binary64) (.f64 v v) H) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (hypot.f64 (*.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)))) #s(approx (* (+ (* (/ (* v v) (* (* -98/5 H) (sqrt (* -98/5 H)))) -1/2) (/ 1 (sqrt (* -98/5 H)))) v) (/.f64 (/.f64 (fma.f64 H v (.f64 #s(literal 5/196 binary64) (.f64 (.f64 v v) 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)))) (/.f64 (/.f64 #s(approx (+ (* 5/196 (* v v)) H) (.f64 (+.f64 (/.f64 H (.f64 v v)) #s(literal 5/196 binary64)) (.f64 v v))) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))) H)) 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) (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)))) (.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)))) (.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 (/.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 (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) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64))) 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))))))))

Outputs

(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))) (fma.f64 (/.f64 H (fabs.f64 v)) #s(literal -49/5 binary64) (fabs.f64 v)))))

Calls

5 calls:

12.0ms	v
10.0ms	H
10.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
8.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
99.6%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
99.7%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
99.7%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
99.7%	2	`v`
99.6%	2	`H`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes16.0ms (0.5%)

Memory

-26.6MiB live, 19.1MiB allocated; 4ms collecting garbage

Counts

14 → 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 #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)))) (.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 H #s(literal -98/5 binary64))))) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.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))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (sqrt.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)))))))
(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (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)))))

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)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))

Calls

3 calls:

8.0ms

4.0ms

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

4.0ms

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

Results

Accuracy	Segments	Branch
94.4%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
94.4%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
99.7%	2	`v`

Compiler

Compiled 22 to 23 computations (-4.5% saved)

regimes23.0ms (0.7%)

Memory

-9.9MiB live, 36.2MiB allocated; 4ms collecting garbage

Counts

13 → 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 #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)))) (.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 H #s(literal -98/5 binary64))))) 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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.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))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (sqrt.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)))))))
(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 #s(approx (+ (* (/ (* (* v v) v) (* (sqrt (/ -98/5 H)) H)) 5/196) (/ v (sqrt (/ -98/5 H)))) (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) H)))) H)))))

Outputs

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

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

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

Calls

5 calls:

6.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
4.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
4.0ms	H
4.0ms	v
3.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
94.1%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
94.1%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
79.3%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
79.3%	2	`H`
89.4%	2	`v`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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 #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)))) (.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 H #s(literal -98/5 binary64))))) 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

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

2.0ms

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

Results

Accuracy	Segments	Branch
94.0%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
94.0%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

5 → 3

Calls

Call 1

Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(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)))) (.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)))) (.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 H #s(literal -98/5 binary64))))) 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
93.7%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
93.7%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`

Compiler

Compiled 21 to 21 computations (0% saved)

regimes7.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	H
1.0ms	v
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) 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
60.7%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
60.7%	1	`H`
60.7%	1	`v`
60.7%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
60.7%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

regimes9.0ms (0.3%)

Memory

-36.1MiB live, 14.3MiB allocated; 6ms 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:

5.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
1.0ms	H

Results

Accuracy	Segments	Branch
1.9%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
1.9%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
1.9%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
1.9%	1	`H`
1.9%	1	`v`

Compiler

Compiled 28 to 31 computations (-10.7% saved)

bsearch6.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.0769993764172857e+142	5.0460625899474235e+143

Samples

3.0ms

48×

valid

Compiler

Compiled 91 to 94 computations (-3.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-atan: 1.0ms (56.1% of total)

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)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	1.0769993764172857e+142	5.0460625899474235e+143

Compiler

Compiled 91 to 97 computations (-6.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.635038272835998e-7	0.7853981632278165
0.0ms	0.0	7.1e-322

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.635038272835998e-7	0.7853981632278165
0.0ms	0.0	7.1e-322

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.635038272835998e-7	0.7853981632278165
0.0ms	0.0	7.1e-322

Compiler

Compiled 14 to 16 computations (-14.3% saved)

derivations160.0ms (4.9%)

Memory

24.5MiB live, 260.9MiB allocated; 11ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 99 to 65 computations (34.3% saved)

preprocess181.0ms (5.5%)

Memory: -11.7MiB live, 272.8MiB allocated; 135ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 522 to 448 computations (14.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (1.3%)

sample1.2s (35.7%)

preprocess125.0ms (3.8%)

series24.0ms (0.7%)

rewrite181.0ms (5.5%)

eval19.0ms (0.6%)

prune13.0ms (0.4%)

series43.0ms (1.3%)

rewrite214.0ms (6.5%)

eval88.0ms (2.7%)

prune17.0ms (0.5%)

series110.0ms (3.3%)

rewrite202.0ms (6.2%)

eval124.0ms (3.8%)

prune18.0ms (0.5%)

series75.0ms (2.3%)

rewrite248.0ms (7.6%)

eval60.0ms (1.8%)

prune35.0ms (1.1%)

regimes52.0ms (1.6%)

regimes16.0ms (0.5%)

regimes23.0ms (0.7%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.2%)

regimes9.0ms (0.3%)

bsearch6.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations160.0ms (4.9%)

preprocess181.0ms (5.5%)

end0.0ms (0%)

Profiling