Metrics for Optimal throwing angle

start0.0ms (0%)

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

analyze58.0ms (1.2%)

Memory

28.9MiB live, 120.0MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
50%	43.7%	43.7%	0.1%	0%	12.5%	0%	5
60.7%	53.1%	34.3%	0.1%	0%	12.5%	0%	6
72.2%	60.9%	23.4%	0.1%	0%	15.6%	0%	7
79.4%	63.2%	16.4%	0.1%	0%	20.3%	0%	8
85.6%	67.5%	11.3%	0.1%	0%	21.1%	0%	9
89.6%	68.9%	8%	0.1%	0%	23%	0%	10
92.7%	71.1%	5.6%	0.1%	0%	23.2%	0%	11
94.8%	71.9%	4%	0.1%	0%	24.1%	0%	12

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.5s (30.4%)

Memory

0.3MiB live, 2 010.6MiB allocated; 406ms collecting garbage

Samples

1.2s	8 256×	0	valid
13.0ms	113×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-mult: 340.0ms (37.6% of total)

const: 185.0ms (20.5% of total)

ival-sqrt: 140.0ms (15.5% of total)

ival-atan: 116.0ms (12.8% of total)

ival-sub: 57.0ms (6.3% of total)

ival-div: 55.0ms (6.1% of total)

exact: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

explain157.0ms (3.2%)

Memory

14.9MiB live, 251.5MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
93	-	-	`(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	93	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	93
↳	`(*.f64 v v)`	overflow	93

Confusion

	Predicted +	Predicted -
+	93	2
-	0	161

Precision

1.0

Recall

0.9789473684210527

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	93	0	2
-	0	0	161

Precision?

1.0

Recall?

0.9789473684210527

Freqs

test

number	freq
0	163
1	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	496×	0	valid
10.0ms	16×	5	exit

Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sub: 15.0ms (29.4% of total)

ival-mult: 10.0ms (19.6% of total)

const: 9.0ms (17.6% of total)

ival-atan: 5.0ms (9.8% of total)

ival-div: 4.0ms (7.8% of total)

ival-sqrt: 4.0ms (7.8% of total)

adjust: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess232.0ms (4.8%)

Memory

1.7MiB live, 156.7MiB allocated; 12ms 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)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.9%	(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)

simplify173.0ms (3.6%)

Memory

0.6MiB live, 190.8MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
cost-diff	1	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
cost-diff	2	(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	19	47
1	30	47
2	53	47
3	100	47
4	149	47
5	229	47
6	686	47
7	4804	47
0	8535	43

Stop Event

1×	iter limit
1×	node limit
1×	iter 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)))))
(/.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
(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)))))
(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(*.f64 v v)
(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

localize40.0ms (0.8%)

Memory

-34.1MiB live, 57.7MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
accuracy	0.07421875	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy	0.4140625	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy	21.617334473934825	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

24.0ms	248×	0	valid
6.0ms	8×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 6.0ms (28.8% of total)

ival-mult: 5.0ms (24% of total)

ival-div: 2.0ms (9.6% of total)

ival-atan: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

adjust: 1.0ms (4.8% of total)

ival-sub: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

6 → 53

Calls

Call 1

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

Outputs
#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 (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 (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 (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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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 (/ 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))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	H	@	-inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms	v	@	0	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms	H	@	inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
2.0ms	v	@	inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
1.0ms	v	@	-inf	((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))

simplify167.0ms (3.4%)

Memory

-6.8MiB live, 172.2MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1883
1	1100	1838
2	5032	1801
0	8044	1667

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 53

Calls

Call 1

Inputs
#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 (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 (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 (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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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 (/ 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))))))))))

Outputs
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#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)))) (.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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)))) (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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 (sqrt (- (* v v) (* (* 2 49/5) H)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) 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))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#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))) (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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))) (fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 (.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
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#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))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))

rewrite47.0ms (1%)

Memory

-14.9MiB live, 48.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	48	40
0	278	36

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 44

Calls

Call 1

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

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

eval12.0ms (0.3%)

Memory: 14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 560 to 578 computations (77.4% saved)

prune6.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Accuracy

99.9%

Counts

95 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(atan.f64 (/.f64 v (.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))))
▶	63.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	40.1%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶	36.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
▶	32.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶	35.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
	63.9%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))

Compiler

Compiled 250 to 190 computations (24% saved)

simplify154.0ms (3.2%)

Memory

15.1MiB live, 105.2MiB allocated; 11ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
cost-diff	0	(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff	0	(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
cost-diff	0	(/.f64 H (*.f64 v v))
cost-diff	0	(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
cost-diff	0	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
cost-diff	0	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
cost-diff	0	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	207
0	49	197
1	71	197
2	130	197
3	257	197
4	501	197
5	880	197
6	4455	197
0	8327	197

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (2.8%)

Memory

-10.4MiB live, 136.8MiB allocated; 21ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
accuracy	0.4140625	(*.f64 #s(literal -98/5 binary64) H)
accuracy	21.617334473934825	(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy	39.69913549791536	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
accuracy	0.056972509768442016	(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
accuracy	7.196811200518005	(/.f64 H (*.f64 v v))
accuracy	39.71298844832172	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
accuracy	41.82571837846667	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
accuracy	0.00390625	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy	39.60557746653211	#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy	0.00390625	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
accuracy	0.07421875	(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
accuracy	0.15625	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
accuracy	21.617334473934825	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))

Samples

113.0ms	248×	0	valid
8.0ms	8×	5	exit

Compiler

Compiled 192 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 46.0ms (53% of total)

ival-add: 13.0ms (15% of total)

const: 11.0ms (12.7% of total)

ival-div: 5.0ms (5.8% of total)

ival-atan: 5.0ms (5.8% of total)

ival-sqrt: 4.0ms (4.6% of total)

adjust: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory

-33.4MiB live, 12.7MiB allocated; 7ms collecting garbage

Counts

17 → 111

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (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 (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -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 (+ (* H -98/5) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* H -98/5) (* 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (- (* 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -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 (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (/ 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 (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#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 (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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 (/ 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#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
2.0ms	H	@	-inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (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)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms	v	@	0	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (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)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms	H	@	inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (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)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms	H	@	0	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (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)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms	v	@	inf	((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) (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)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))

simplify208.0ms (4.3%)

Memory

24.6MiB live, 121.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	3866
1	1209	3773
2	5294	3701
0	8062	3426

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 111

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (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 (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -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 (+ (* H -98/5) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* H -98/5) (* 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (- (* 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -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 (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* 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 (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (/ 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 (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#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 (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* 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 (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) 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 (/ 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 (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#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 (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (/ v (sqrt (+ (* H -98/5) (* 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 (/ v (sqrt (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (+ (* H -98/5) (* v v))) (fma.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (sqrt (+ (* H -98/5) (* 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 (sqrt (+ (* H -98/5) (* v v))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (+ (* H -98/5) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#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 (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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 (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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 (sqrt (+ (* H -98/5) (* v v)))) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))
#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))) -1) (/.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -49/5 binary64) H)) (.f64 v v)))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#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 (+ (* H -98/5) (* v v))) (fma.f64 (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
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#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 (+ (* H -98/5) (* v v)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64)))) v (.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))))
#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 (+ (* H -98/5) (* v v)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -125/1882384 binary64) (.f64 (.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -25/19208 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
#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 (/ v (sqrt (+ (* H -98/5) (* v v)))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (.f64 (.f64 v (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))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H)) (pow.f64 v #s(literal 5 binary64))) #s(literal 125/1882384 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (pow.f64 (neg.f64 H) #s(literal 3 binary64))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) (.f64 (.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#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 (+ (* H -98/5) (* v v))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#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 (+ (* H -98/5) (* v v))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#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 (sqrt (+ (* H -98/5) (* v v))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* H -98/5) (* v v)) (.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H))))

rewrite61.0ms (1.3%)

Memory

-20.6MiB live, 26.0MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	189
0	49	179
1	121	179
0	693	179

Stop Event

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

Counts

17 → 101

Calls

Call 1

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

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 v) v) #s(literal 3 binary64))) (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (+.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (neg.f64 v) v)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -98/5 binary64) H) v) v))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(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 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(-.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (neg.f64 v) v))
(-.f64 (.f64 v v) (.f64 (neg.f64 H) #s(literal -98/5 binary64)))
(-.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)) (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 #s(literal 9604/25 binary64) (.f64 H H) (.f64 (.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 (neg.f64 (neg.f64 v)) v))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+.f64 (.f64 v v) (.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(+.f64 (.f64 v v) (.f64 #s(literal -98/5 binary64) H))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 H (.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 H (.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 H (.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))
(fma.f64 (/.f64 #s(literal -49/5 binary64) (neg.f64 v)) (/.f64 H (neg.f64 v)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -49/5 binary64) (fabs.f64 v)) (/.f64 H (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (/.f64 H (.f64 v v))) #s(literal -49/5 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64)))))
(+.f64 (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))
(/.f64 (/.f64 H (neg.f64 v)) (neg.f64 v))
(/.f64 (/.f64 H (fabs.f64 v)) (fabs.f64 v))
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v))
(/.f64 (neg.f64 (neg.f64 H)) (*.f64 v v))
(/.f64 (/.f64 H v) v)
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v))
(/.f64 H (*.f64 v v))
(neg.f64 (/.f64 (neg.f64 H) (*.f64 v v)))
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))))
(.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(exp.f64 (.f64 (log.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
(neg.f64 (*.f64 #s(literal 98/5 binary64) H))

eval21.0ms (0.4%)

Memory: 20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 073 to 850 computations (79.1% saved)

prune7.0ms (0.2%)

Memory

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

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	156	8	164

Accuracy

100.0%

Counts

164 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.0%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
▶	39.9%	(atan.f64 (/.f64 v (.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))))
✓	63.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	40.1%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	36.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	32.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	35.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶	63.9%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))

Compiler

Compiled 161 to 118 computations (26.7% saved)

simplify116.0ms (2.4%)

Memory

-16.7MiB live, 76.3MiB allocated; 6ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
cost-diff	0	(/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))))
cost-diff	0	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
cost-diff	0	(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 v (.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
cost-diff	0	(atan.f64 (/.f64 v (.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))))
cost-diff	7	(.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	312
0	62	264
1	95	261
2	171	261
3	323	261
4	613	261
5	1645	261
0	8270	261

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (3.8%)

Memory

22.3MiB live, 163.3MiB allocated; 20ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))
accuracy	0.15625	(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
accuracy	0.39843750000000006	(-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))
accuracy	10.053612117205518	(sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))
accuracy	0.0703125	(/.f64 v (.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
accuracy	0.14453125	(*.f64 #s(literal -98/5 binary64) H)
accuracy	0.20150375976844204	(.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
accuracy	0.2095431184731355	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.02734375	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
accuracy	0.07421875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy	0.15234375	(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))

Samples

122.0ms	167×	0	invalid
36.0ms	86×	0	valid
5.0ms	3×	5	exit

Compiler

Compiled 297 to 38 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 54.0ms (37.6% of total)

ival-pow: 33.0ms (23% of total)

ival-sqrt: 18.0ms (12.5% of total)

ival-atan: 16.0ms (11.1% of total)

const: 7.0ms (4.9% of total)

ival-div: 6.0ms (4.2% of total)

ival-pow2: 3.0ms (2.1% of total)

adjust: 2.0ms (1.4% of total)

ival-sub: 2.0ms (1.4% of total)

ival-add: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series54.0ms (1.1%)

Memory

-38.1MiB live, 61.1MiB allocated; 13ms collecting garbage

Counts

18 → 222

Calls

Call 1

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

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* 98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* (pow v 4) (- (* -3125/144627327488 (/ (pow v 4) (pow H 5))) (* 125/7529536 (/ 1 (pow H 3))))) (* 5/196 (/ 1 H)))))))
#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 (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (- (* 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 (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (* 9604/25 (pow H 2))))
#s(approx (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (+ (* -98/5 H) (* -1 (pow v 2)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 v))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 1))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (sqrt v)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (* -49/10 (* H (sqrt (/ 1 (pow v 3))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2)))) (* (sqrt (/ 1 (pow v 11))) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3))))))))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 1))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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)))))))
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#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6)))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* H (- (* -1 (/ (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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) H))))))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (- (pow (* -98/5 H) 2) (pow v 4)) (+ (* -98/5 H) (* (neg v) v)))
4.0ms	v	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (- (pow (* -98/5 H) 2) (pow v 4)) (+ (* -98/5 H) (* (neg v) v)))
4.0ms	H	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (- (pow (* -98/5 H) 2) (pow v 4)) (+ (* -98/5 H) (* (neg v) v)))
4.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (- (pow (* -98/5 H) 2) (pow v 4)) (+ (* -98/5 H) (* (neg v) v)))
3.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* -98/5 H) (* v v)) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (- (pow (* -98/5 H) 2) (pow v 4)) (+ (* -98/5 H) (* (neg v) v)))

simplify197.0ms (4.1%)

Memory

10.4MiB live, 289.0MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1005	8629
1	2715	8366
0	9093	7910

Stop Event

1×	iter limit
1×	node limit

Counts

222 → 222

Calls

Call 1

Inputs
#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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* 98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* (pow v 4) (- (* -3125/144627327488 (/ (pow v 4) (pow H 5))) (* 125/7529536 (/ 1 (pow H 3))))) (* 5/196 (/ 1 H)))))))
#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 (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (- (* 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 (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (* 9604/25 (pow H 2))))
#s(approx (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (+ (* -98/5 H) (* -1 (pow v 2)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 v))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 1))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (sqrt v)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (* -49/10 (* H (sqrt (/ 1 (pow v 3))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2)))) (* (sqrt (/ 1 (pow v 11))) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3))))))))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 1))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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)))))))
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#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6)))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (- (pow (* -98/5 H) 2) (pow v 4)) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* H (- (* -1 (/ (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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6))))))))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) 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 (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (.f64 v v)) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (.f64 v v) (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (fma.f64 #s(literal -125/3764768 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 v v) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (.f64 v v) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))
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#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 v (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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (.f64 (.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 (neg.f64 H) (fma.f64 (/.f64 #s(literal -5/196 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 98/5 binary64))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 (neg.f64 H) (fma.f64 (/.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 H #s(literal 4 binary64))) #s(literal -125/7529536 binary64) (fma.f64 (/.f64 #s(literal -5/196 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 98/5 binary64)))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6))))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 (neg.f64 H) (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 H #s(literal 6 binary64))) #s(literal -3125/144627327488 binary64) (/.f64 (.f64 #s(literal -125/7529536 binary64) (pow.f64 v #s(literal 8 binary64))) (pow.f64 H #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -5/196 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 98/5 binary64)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* v v)) (.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) (.f64 #s(literal -25/9604 binary64) (.f64 v v))) H)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H)) (.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* v v)) (.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) H))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) (.f64 (fma.f64 (/.f64 (.f64 v v) H) #s(literal -1 binary64) #s(literal -98/5 binary64)) H))

rewrite33.0ms (0.7%)

Memory

43.2MiB live, 89.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	271
0	62	187
0	194	187

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

18 → 62

Calls

Call 1

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

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

eval38.0ms (0.8%)

Memory: -9.3MiB live, 91.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 907 to 1 655 computations (88.1% saved)

prune11.0ms (0.2%)

Memory

-17.7MiB live, 29.5MiB allocated; 2ms collecting garbage

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	294	6	300
Fresh	0	0	0
Picked	3	0	3
Done	0	5	5
Total	297	11	308

Accuracy

100.0%

Counts

308 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.9%	(atan.f64 (/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
▶	39.9%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	34.4%	(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
✓	63.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	40.1%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓	36.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	32.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	35.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶	40.1%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
▶	34.5%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
▶	40.1%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

Compiler

Compiled 443 to 319 computations (28% saved)

simplify129.0ms (2.7%)

Memory

17.8MiB live, 159.8MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
cost-diff	0	(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
cost-diff	0	(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
cost-diff	3	(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
cost-diff	2	(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
cost-diff	0	#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
cost-diff	0	(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
cost-diff	0	(/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))))
cost-diff	0	(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
cost-diff	0	(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
cost-diff	0	(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
cost-diff	0	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	563
0	89	563
1	125	551
2	230	548
3	529	548
4	1240	548
5	3154	548
0	8262	518

Stop Event

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

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
#s(literal 1 binary64)
#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)
H
v
(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
(/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))))
v
(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))
(*.f64 (neg.f64 v) v)
(neg.f64 v)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -25/9604 binary64) H)
#s(literal -25/9604 binary64)
H
(/.f64 (*.f64 v v) H)
(*.f64 v v)
v
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
v
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
#s(literal 1/4 binary64)
#s(literal 2 binary64)

Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
#s(literal 1 binary64)
#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)
H
v
(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
(atan.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -98/5 binary64) H))) #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))) v))
(/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -98/5 binary64) H))) #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))) v)
v
(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)))
(sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))
(fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (neg.f64 v) v)
(neg.f64 v)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/.f64 #s(literal -25/9604 binary64) H)
#s(literal -25/9604 binary64)
H
(/.f64 (*.f64 v v) H)
(*.f64 v v)
v
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
v
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.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)
H
#s(literal 1/4 binary64)
#s(literal 2 binary64)

localize143.0ms (3%)

Memory

2.7MiB live, 290.3MiB allocated; 17ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
accuracy	0.14453125	(*.f64 #s(literal -98/5 binary64) H)
accuracy	0.20150375976844204	(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy	0.2095431184731355	#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.07421875	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
accuracy	0.12117200919340887	#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
accuracy	0.13671875	(/.f64 #s(literal -25/9604 binary64) H)
accuracy	3.542132973204622	(/.f64 (*.f64 v v) H)
accuracy	0.1151439793104788	#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.14453125	(*.f64 #s(literal -98/5 binary64) H)
accuracy	0.15234375	(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))
accuracy	0.15625	(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
accuracy	0.07421875	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy	0.14453125	(*.f64 #s(literal -98/5 binary64) H)
accuracy	0.2095431184731355	#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
accuracy	0.02734375	(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy	0.04296875	(/.f64 #s(literal -5/98 binary64) H)
accuracy	0.07421875	(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
accuracy	0.2139969555410256	#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))

Samples

64.0ms	167×	0	invalid
34.0ms	86×	0	valid
7.0ms	3×	5	exit

Compiler

Compiled 400 to 45 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

const: 15.0ms (19% of total)

ival-mult: 14.0ms (17.8% of total)

ival-div: 12.0ms (15.2% of total)

ival-pow: 10.0ms (12.7% of total)

ival-atan: 8.0ms (10.2% of total)

ival-sqrt: 6.0ms (7.6% of total)

ival-pow2: 5.0ms (6.3% of total)

ival-add: 3.0ms (3.8% of total)

adjust: 2.0ms (2.5% of total)

ival-sub: 2.0ms (2.5% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series41.0ms (0.9%)

Memory

-43.7MiB live, 59.2MiB allocated; 36ms collecting garbage

Counts

30 → 226

Calls

Call 1

Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
(/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v)))))
(/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v))
(/.f64 (*.f64 v v) H)
(/.f64 #s(literal -25/9604 binary64) H)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* 98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* (pow v 4) (- (* -3125/144627327488 (/ (pow v 4) (pow H 5))) (* 125/7529536 (/ 1 (pow H 3))))) (* 5/196 (/ 1 H)))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (/ -5/98 H)))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) H))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	v	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -98/5 H) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* (neg v) v)) (/ (* v v) H) (/ -25/9604 H) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)))
3.0ms	v	@	inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -98/5 H) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* (neg v) v)) (/ (* v v) H) (/ -25/9604 H) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)))
3.0ms	H	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -98/5 H) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* (neg v) v)) (/ (* v v) H) (/ -25/9604 H) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)))
3.0ms	H	@	0	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -98/5 H) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* (neg v) v)) (/ (* v v) H) (/ -25/9604 H) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)))
3.0ms	v	@	-inf	((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -98/5 H) (* v v)) (* -98/5 H) (/ 1 (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* (neg v) v)) (/ (* v v) H) (/ -25/9604 H) (/ 1 (+ (* -98/5 H) (* v v))) (- (* v v) (* (* 2 49/5) H)))

simplify193.0ms (4%)

Memory

50.1MiB live, 329.9MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1016	8810
1	2736	8479
0	9202	8009

Stop Event

1×	iter limit
1×	node limit

Counts

226 → 226

Calls

Call 1

Inputs
#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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* 98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (+ (* 98/5 H) (* (pow v 4) (- (* (pow v 4) (- (* -3125/144627327488 (/ (pow v 4) (pow H 5))) (* 125/7529536 (/ 1 (pow H 3))))) (* 5/196 (/ 1 H)))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (/ -5/98 H)))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -98/5 H)))
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#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (atan (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))))) #s(hole binary64 (atan (* v (sqrt (/ (- (* -1 (pow v 2)) (* 98/5 H)) (- (* 9604/25 (pow H 2)) (pow v 4))))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6)))))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (+ (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -125/11294304 (pow v 6)) (+ (* -125/361417728 (pow v 6)) (* 125/30118144 (pow v 6))))) (pow H 3)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* H (- (* -1 (/ (pow v 2) H)) 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (* (sqrt (/ 1 (+ (* -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 (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ v (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg v) v)))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (/ (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (- (pow (* -98/5 H) 2) (pow v 4))) (sqrt (+ (* -98/5 H) (* (neg 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 (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -98/5 H)))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))))
#s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) #s(hole binary64 (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6))))))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) H))))))
#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))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H)))) v)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H)))) v)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
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#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2) (.f64 (neg.f64 H) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H)))) v)))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) #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 (/ v (pow (pow (- (* v v) (* (* 2 49/5) H)) 1/4) 2)) (fma.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 v (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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (.f64 v v)) H) #s(literal -5/392 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (.f64 #s(literal 5/392 binary64) (.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64))) (neg.f64 H))) H)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (.f64 #s(literal 5/392 binary64) (.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125/17210368 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))) (neg.f64 H))) (neg.f64 H))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -125/941192 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) H) (.f64 #s(literal -25/9604 binary64) (.f64 v v))) H)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 H)) (.f64 #s(literal 25/9604 binary64) (*.f64 v v))) H)) (neg.f64 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* v v)) (.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) #s(hole binary64 (* -1 (* H (+ 98/5 (/ (pow v 2) H))))))
#s(approx (+ (* -98/5 H) (* (neg v) v)) (*.f64 (fma.f64 (neg.f64 v) (/.f64 v H) #s(literal -98/5 binary64)) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* -98/5 H) (* v v)) (.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (.f64 v v) H))))

rewrite113.0ms (2.3%)

Memory

-8.2MiB live, 140.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	495
0	89	489
1	258	477
0	1515	449

Stop Event

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

Counts

30 → 175

Calls

Call 1

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

eval53.0ms (1.1%)

Memory: -15.3MiB live, 126.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 16 839 to 2 311 computations (86.3% saved)

prune44.0ms (0.9%)

Memory

-7.3MiB live, 39.7MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	402	2	404
Fresh	1	0	1
Picked	2	3	5
Done	0	5	5
Total	405	10	415

Accuracy

100.0%

Counts

415 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.0%	(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 #s(approx (+ ( -98/5 H) (* (neg v) v)) (*.f64 #s(literal -98/5 binary64) H))))))
✓	63.9%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	40.1%	(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
	29.7%	(atan.f64 (.f64 (/.f64 v #s(approx (sqrt (- (pow ( -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H))) (sqrt.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -98/5 binary64) H)))))
✓	36.2%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓	32.7%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓	35.9%	(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓	40.1%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
✓	34.5%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
✓	40.1%	#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))

Compiler

Compiled 671 to 302 computations (55% saved)

regimes26.0ms (0.5%)

Memory

11.1MiB live, 58.3MiB allocated; 2ms collecting garbage

Counts

18 → 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 #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 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ ( -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 #s(approx (+ ( -98/5 H) (* (neg v) v)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (.f64 (/.f64 v #s(approx (sqrt (- (pow ( -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H))) (sqrt.f64 (fma.f64 (neg.f64 v) v (.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (/.f64 #s(approx (sqrt (- (pow (* -98/5 H) 2) (pow v 4))) (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(atan.f64 (/.f64 v (.f64 (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))))
(atan.f64 (/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- ( v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(atan.f64 (/.f64 v (.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 (neg.f64 v) v))))))

Outputs

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

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

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

Calls

5 calls:

5.0ms	(/.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
4.0ms	(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
70.5%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
79.5%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
79.5%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
99.8%	3	`v`
70.5%	2	`H`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes3.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
91.7%	3	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

-27.9MiB live, 27.2MiB allocated; 7ms collecting garbage

Counts

3 → 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 #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:

5.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
2.0ms	H
2.0ms	v
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
42.5%	4	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
42.5%	4	`H`
49.1%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
49.1%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
66.8%	2	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes6.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.9%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
35.9%	1	`H`
35.9%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
35.9%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
35.9%	1	`v`

Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch10.0ms (0.2%)

Memory

-26.9MiB live, 19.8MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
6.0ms	8.431030684983368e+129	3.7419818420816385e+130
3.0ms	-1.917789938576981e+154	-5.09357484605471e+145

Samples

5.0ms

48×

valid

Compiler

Compiled 91 to 85 computations (6.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (27.6% of total)

ival-mult: 1.0ms (27.6% of total)

ival-atan: 1.0ms (27.6% of total)

const: 1.0ms (27.6% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch49.0ms (1%)

Memory

25.3MiB live, 118.2MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.6050953205960654e-65	3.8883497959321925e-62
24.0ms	-31309402.40885419	-2.2258713763138955e-5

Samples

25.0ms	288×	0	valid
4.0ms	47×	0	invalid

Compiler

Compiled 914 to 740 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.2% of total)

const: 4.0ms (19.1% of total)

ival-div: 2.0ms (9.6% of total)

ival-atan: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-sub: 1.0ms (4.8% 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)

bsearch40.0ms (0.8%)

Memory

3.1MiB live, 99.4MiB allocated; 13ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	-5.2052531428266914e-300	3.0241130054957523e-298

Samples

15.0ms	101×	0	invalid
13.0ms	160×	0	valid

Compiler

Compiled 316 to 296 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 5.0ms (36.5% of total)

const: 3.0ms (21.9% of total)

ival-sqrt: 2.0ms (14.6% of total)

ival-div: 1.0ms (7.3% of total)

ival-atan: 1.0ms (7.3% of total)

ival-sub: 1.0ms (7.3% 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)

simplify54.0ms (1.1%)

Memory

3.5MiB live, 91.8MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	157
1	73	157
2	133	157
3	321	157
4	1196	157
5	4385	157

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -9002011107970261/73786976294838206464 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- ( v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000001195661564921032303703498580504676181417472718996644016411502261872621120682133202806891363984488647082731768905728 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))) (atan.f64 #s(approx (/ v (sqrt (- ( v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -9002011107970261/73786976294838206464 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- ( v v) (* (* 2 49/5) H))))) (atan.f64 (.f64 (sqrt.f64 #s(approx (/ 1 (+ ( -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))

derivations252.0ms (5.2%)

Memory

-6.4MiB live, 222.1MiB allocated; 94ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 173 to 55 computations (68.2% saved)

preprocess38.0ms (0.8%)

Memory: 23.1MiB live, 68.6MiB allocated; 15ms collecting garbage
Compiler: Compiled 372 to 132 computations (64.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze58.0ms (1.2%)

sample1.5s (30.4%)

explain157.0ms (3.2%)

preprocess232.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify173.0ms (3.6%)

localize40.0ms (0.8%)

series16.0ms (0.3%)

simplify167.0ms (3.4%)

rewrite47.0ms (1%)

eval12.0ms (0.3%)

prune6.0ms (0.1%)

simplify154.0ms (3.2%)

localize138.0ms (2.8%)

series30.0ms (0.6%)

simplify208.0ms (4.3%)

rewrite61.0ms (1.3%)

eval21.0ms (0.4%)

prune7.0ms (0.2%)

simplify116.0ms (2.4%)

localize184.0ms (3.8%)

series54.0ms (1.1%)

simplify197.0ms (4.1%)

rewrite33.0ms (0.7%)

eval38.0ms (0.8%)

prune11.0ms (0.2%)

simplify129.0ms (2.7%)

localize143.0ms (3%)

series41.0ms (0.9%)

simplify193.0ms (4%)

rewrite113.0ms (2.3%)

eval53.0ms (1.1%)

prune44.0ms (0.9%)

regimes26.0ms (0.5%)

regimes3.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch49.0ms (1%)

bsearch40.0ms (0.8%)

simplify54.0ms (1.1%)

derivations252.0ms (5.2%)

preprocess38.0ms (0.8%)

end0.0ms (0%)

Profiling