Metrics for Optimal throwing angle

start0.0ms (0%)

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

analyze73.0ms (1.4%)

Memory

6.0MiB live, 50.5MiB allocated; 20ms 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)

sample2.1s (39.8%)

Memory

63.4MiB live, 1 893.1MiB allocated; 840ms collecting garbage

Samples

1.5s	8 256×	0	valid
13.0ms	96×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 327.0ms (30.3% of total)

const: 275.0ms (25.4% of total)

ival-atan: 157.0ms (14.5% of total)

ival-div: 132.0ms (12.2% of total)

ival-sqrt: 104.0ms (9.6% of total)

ival-sub: 71.0ms (6.6% of total)

exact: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

adjust: 3.0ms (0.3% of total)

Bogosity

explain299.0ms (5.5%)

Memory

-41.5MiB live, 355.0MiB allocated; 108ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
78	-	-	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`
0	-	-	`(*.f64 v v)`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))`
0	-	-	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
0	-	-	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`
0	-	-	`H`
0	-	-	`#s(literal 49/5 binary64)`
0	-	-	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`	oflow-rescue	78	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	78
↳	`(*.f64 v v)`	overflow	78

Confusion

	Predicted +	Predicted -
+	78	1
-	0	177

Precision

1.0

Recall

0.9873417721518988

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	78	0	1
-	0	0	177

Precision?

1.0

Recall?

0.9873417721518988

Freqs

test

number	freq
0	178
1	78

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

91.0ms	498×	0	valid
13.0ms	14×	5	exit

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 18.0ms (28.2% of total)

const: 14.0ms (21.9% of total)

ival-atan: 9.0ms (14.1% of total)

ival-div: 7.0ms (11% of total)

ival-sqrt: 7.0ms (11% of total)

ival-sub: 4.0ms (6.3% of total)

adjust: 3.0ms (4.7% of total)

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess567.0ms (10.5%)

Memory

46.5MiB live, 228.8MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	72
1	70	70
2	165	70
3	446	70
4	1087	70
5	2518	70
6	7175	70
0	11	11
0	19	11
1	30	11
2	53	11
3	100	11
4	149	11
5	229	11
6	686	11
7	4804	11
0	8535	10

Stop Event

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

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)))))

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.0%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Compiler

Compiled 13 to 11 computations (15.4% saved)

series39.0ms (0.7%)

Memory

-5.4MiB live, 39.0MiB allocated; 17ms collecting garbage

Counts

11 → 56

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#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)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	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)
7.0ms	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)
5.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
2.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)

rewrite233.0ms (4.3%)

Memory

10.1MiB live, 156.1MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	392	2022
0	403	1823
0	2118	1696

Stop Event

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

Counts

67 → 87

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#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)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (.f64 v v) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (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 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (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 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 H #s(literal 98/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (.f64 #s(literal -5/98 binary64) H))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (.f64 v v))) (.f64 v v) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)))) (.f64 v v) (sqrt.f64 (.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -3 binary64)))) (.f64 v v))) (.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)))) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))))) #s(literal 1 binary64)) v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal -3 binary64)))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* (* 2 49/5) H) (*.f64 #s(literal 98/5 binary64) H))
#s(approx H H)
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (-.f64 (/.f64 (.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval28.0ms (0.5%)

Memory: -15.6MiB live, 29.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 2 395 to 544 computations (77.3% saved)

prune10.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Accuracy

99.9%

Counts

89 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.2%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	38.0%	(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))))
▶	33.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
▶	38.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶	32.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶	70.0%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))

Compiler

Compiled 236 to 190 computations (19.5% saved)

series42.0ms (0.8%)

Memory

-7.0MiB live, 36.1MiB allocated; 19ms collecting garbage

Counts

26 → 112

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (* -49/5 (/ H (* v v))) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 -1))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	v	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v 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)))) (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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5)
6.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v 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)))) (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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5)
5.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v 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)))) (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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5)
4.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v 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)))) (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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5)
4.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v 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)))) (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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5)

rewrite397.0ms (7.3%)

Memory

19.0MiB live, 159.4MiB allocated; 133ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	4429
0	556	3931
0	2720	3788

Stop Event

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

Counts

138 → 177

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v 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)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
#s(literal 49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64)))
(-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))
(.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)))
#s(literal -49/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ 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 (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (* -49/5 (/ H (* v v))) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 -1))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v)))
(atan.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v)
(.f64 v (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)))
#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)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 H #s(literal 98/5 binary64)) (.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (.f64 v v) #s(literal 3 binary64)) (pow.f64 (.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 H #s(literal 98/5 binary64)) (.f64 H #s(literal 98/5 binary64)) (.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (.f64 v v) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (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 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (neg.f64 v) v))
(-.f64 (.f64 v v) (.f64 H #s(literal 98/5 binary64)))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))
#s(literal -98/5 binary64)
H
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
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)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.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)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 (/.f64 H v) v) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))) #s(literal 1 binary64)) (-.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 49/5 binary64) (/.f64 (/.f64 H v) v) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)))
(+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)))
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
#s(literal 49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) (/.f64 (.f64 #s(literal -49/5 binary64) H) (*.f64 v v))) #s(literal 1 binary64)) (fma.f64 #s(literal -49/5 binary64) (/.f64 (/.f64 H v) v) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (*.f64 v v)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 (/.f64 H v) v))
(*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))
(/.f64 (.f64 #s(literal -49/5 binary64) H) (.f64 v v))
#s(literal -49/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v)))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (.f64 #s(literal -5/98 binary64) H))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (.f64 v v))) (.f64 v v) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
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#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))
#s(approx (+ (* -98/5 H) (* v v)) (.f64 (-.f64 (/.f64 (.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal -1 binary64)) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H))
#s(approx (- (* -49/5 (/ H (* v v))) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H)))

eval77.0ms (1.4%)

Memory: -36.5MiB live, 63.7MiB allocated; 66ms collecting garbage
Compiler: Compiled 7 598 to 1 044 computations (86.3% saved)

prune12.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.2%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	38.0%	(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))))
✓	33.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
✓	38.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	32.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
▶	38.1%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
▶	38.2%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))

Compiler

Compiled 183 to 144 computations (21.3% saved)

series36.0ms (0.7%)

Memory

-0.2MiB live, 44.4MiB allocated; 16ms collecting garbage

Counts

24 → 131

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#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)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow H -1) #s(hole binary64 (/ 1 H)))
#s(approx H #s(hole binary64 H))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* 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
16.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)))
4.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)))
3.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)))
2.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)))
2.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* -98/5 H) -98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)))

rewrite347.0ms (6.4%)

Memory

6.5MiB live, 197.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	539	5237
0	553	4708
0	2616	4389

Stop Event

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

Counts

155 → 173

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
(atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
(.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
(sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))
(pow.f64 H #s(literal -1 binary64))
H
#s(literal -1 binary64)
#s(literal -5/98 binary64)
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #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))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#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)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow H -1) #s(hole binary64 (/ 1 H)))
#s(approx H #s(hole binary64 H))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)))
(atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))
(.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)
(.f64 v #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -5/98 binary64)))
(pow.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))
(*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 H) #s(literal -1 binary64)))
H
#s(literal -1 binary64)
#s(literal -5/98 binary64)
v
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#s(literal 1 binary64)
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(sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
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(*.f64 #s(literal -98/5 binary64) H)
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#s(literal -98/5 binary64)
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#s(approx v v)
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#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval99.0ms (1.8%)

Memory: -14.0MiB live, 31.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 6 267 to 811 computations (87.1% saved)

prune10.0ms (0.2%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	146	7	153

Accuracy

100.0%

Counts

153 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.2%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	38.0%	(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))))
✓	33.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
✓	38.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	32.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
▶	38.2%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)))

Compiler

Compiled 156 to 124 computations (20.5% saved)

series11.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

10 → 52

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ -5/98 H) #s(hole binary64 (/ -5/98 H)))
#s(approx H #s(hole binary64 H))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (/ -5/98 H) -5/98 H v)
2.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (/ -5/98 H) -5/98 H v)
2.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (/ -5/98 H) -5/98 H v)
1.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (/ -5/98 H) -5/98 H v)
1.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (/ -5/98 H) -5/98 H v)

rewrite179.0ms (3.3%)

Memory

-6.6MiB live, 131.8MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	2288
0	335	2037
0	1717	1908

Stop Event

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

Counts

62 → 65

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v))
(.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ -5/98 H) #s(hole binary64 (/ -5/98 H)))
#s(approx H #s(hole binary64 H))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v))
(.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)
(.f64 v #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))))
(pow.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (.f64 #s(literal -5/98 binary64) H))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (.f64 v v))) (.f64 v v) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (.f64 v v) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (.f64 #s(literal -5/98 binary64) H))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (.f64 v v))) (.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx v v)
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal 1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (pow.f64 v #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64))) H (pow.f64 v #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64))))
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (/ -5/98 H) (/.f64 #s(literal -5/98 binary64) H))
#s(approx H H)
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))

eval17.0ms (0.3%)

Memory: -28.4MiB live, 16.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 008 to 414 computations (86.2% saved)

prune10.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	59	7	66

Accuracy

100.0%

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	38.2%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	38.0%	(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))))
✓	33.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))
✓	38.0%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	32.8%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	70.0%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
✓	38.2%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v)))

Compiler

Compiled 390 to 202 computations (48.2% saved)

regimes33.0ms (0.6%)

Memory

-4.5MiB live, 41.7MiB allocated; 9ms collecting garbage

Counts

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

Calls

5 calls:

11.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
5.0ms	H
5.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
5.0ms	v
5.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
73.0%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
81.9%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
81.9%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
99.9%	3	`v`
73.0%	2	`H`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.6%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes85.0ms (1.6%)

Memory

-82.0MiB live, 27.5MiB allocated; 103ms collecting garbage

Counts

4 → 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 #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)))) (-.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) #s(literal 1 binary64))))

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

Calls

5 calls:

11.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
3.0ms	v
3.0ms	H
3.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
3.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
38.0%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
38.0%	1	`H`
54.8%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
54.8%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
69.0%	2	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes10.0ms (0.2%)

Memory

14.3MiB live, 14.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
32.8%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
32.8%	1	`H`
32.8%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
32.8%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
32.8%	1	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch53.0ms (1%)

Memory

-9.5MiB live, 37.7MiB allocated; 15ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
45.0ms	2.8085970115497024e+46	5.28233403694856e+51
4.0ms	-7.763941004321945e+155	-6.153854559906412e+149

Samples

37.0ms	160×	0	valid
1.0ms	7×	0	invalid

Compiler

Compiled 296 to 276 computations (6.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 20.0ms (63.8% of total)

ival-atan: 3.0ms (9.6% of total)

const: 3.0ms (9.6% of total)

ival-div: 2.0ms (6.4% of total)

ival-sqrt: 2.0ms (6.4% of total)

ival-sub: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.8085970115497024e+46	5.28233403694856e+51
1.0ms	-7.763941004321945e+155	-6.153854559906412e+149

Compiler

Compiled 426 to 366 computations (14.1% saved)

bsearch81.0ms (1.5%)

Memory

26.5MiB live, 73.1MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.5029223920235342e-36	3.180531155347624e-29
38.0ms	-4.900719489049561e-92	-1.462675952858346e-93

Samples

37.0ms	256×	0	valid
16.0ms	71×	0	invalid

Compiler

Compiled 864 to 720 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.1% of total)

const: 7.0ms (21.7% of total)

ival-atan: 4.0ms (12.4% of total)

ival-sqrt: 4.0ms (12.4% of total)

ival-div: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch178.0ms (3.3%)

Memory

-35.6MiB live, 59.6MiB allocated; 31ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
159.0ms	-2.3124051581610315e-269	-1.1247872367685149e-280

Samples

125.0ms	94×	0	invalid
21.0ms	160×	0	valid

Compiler

Compiled 316 to 296 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-atan: 114.0ms (84.5% of total)

ival-mult: 8.0ms (5.9% of total)

const: 5.0ms (3.7% of total)

ival-sqrt: 3.0ms (2.2% of total)

ival-div: 2.0ms (1.5% of total)

ival-sub: 2.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify162.0ms (3%)

Memory

15.8MiB live, 60.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	218
1	89	218
2	165	216
3	375	216
4	1351	216
5	4810	216

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5200000000000000230594532263663640058362295954178048 binary64)) (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)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5200000000000000230594532263663640058362295954178048 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -8807034685401875/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2572242881702389/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1175150774254043/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

Outputs
(if (<=.f64 v #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5200000000000000230594532263663640058362295954178048 binary64)) (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)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -499999999999999991679590111595860857280186137508735268183503807230234208750506277265738938472969370875618694172181552533767253674082286866732755185163042816 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 5200000000000000230594532263663640058362295954178048 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -8807034685401875/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2572242881702389/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 #s(approx (/ 1 (sqrt (+ ( -98/5 H) (* v v)))) (sqrt.f64 #s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H)))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1175150774254043/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

derivations93.0ms (1.7%)

Memory

-9.7MiB live, 34.4MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 240 to 68 computations (71.7% saved)

preprocess60.0ms (1.1%)

Memory: 23.8MiB live, 67.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 506 to 158 computations (68.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze73.0ms (1.4%)

sample2.1s (39.8%)

explain299.0ms (5.5%)

preprocess567.0ms (10.5%)

eval0.0ms (0%)

prune1.0ms (0%)

series39.0ms (0.7%)

rewrite233.0ms (4.3%)

eval28.0ms (0.5%)

prune10.0ms (0.2%)

series42.0ms (0.8%)

rewrite397.0ms (7.3%)

eval77.0ms (1.4%)

prune12.0ms (0.2%)

series36.0ms (0.7%)

rewrite347.0ms (6.4%)

eval99.0ms (1.8%)

prune10.0ms (0.2%)

series11.0ms (0.2%)

rewrite179.0ms (3.3%)

eval17.0ms (0.3%)

prune10.0ms (0.2%)

regimes33.0ms (0.6%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes85.0ms (1.6%)

regimes10.0ms (0.2%)

bsearch53.0ms (1%)

bsearch3.0ms (0.1%)

bsearch81.0ms (1.5%)

bsearch178.0ms (3.3%)

simplify162.0ms (3%)

derivations93.0ms (1.7%)

preprocess60.0ms (1.1%)

end0.0ms (0%)

Profiling