Metrics for Optimal throwing angle

analyze31.0ms (0.4%)

Memory

1.3MiB live, 39.4MiB allocated

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)

sample1.0s (12.3%)

Memory

43.0MiB live, 1 316.8MiB allocated

Samples

764.0ms	8 256×	0	valid
7.0ms	89×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-mult: 169.0ms (31% of total)

const: 114.0ms (20.9% of total)

ival-atan: 87.0ms (16% of total)

ival-sqrt: 66.0ms (12.1% of total)

ival-div: 56.0ms (10.3% of total)

ival-sub: 39.0ms (7.2% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess55.0ms (0.7%)

Memory

32.5MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Rules

224×	`lower-fma.f64`
224×	`lower-fma.f32`
168×	`lower-*.f32`
164×	`lower-*.f64`
138×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	61
1	63	59
2	118	59
3	223	59
4	391	59
5	639	59
6	866	59
7	1009	59
8	1154	59
9	1188	59
10	1204	59
0	11	11
0	19	11
1	26	11
2	36	11
3	45	11
4	61	11
5	82	11
6	126	11
7	173	11
8	229	11
9	286	11
10	375	11
11	415	11
12	504	11
13	526	11
14	534	11
0	534	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

explain154.0ms (1.8%)

Memory

-18.8MiB live, 257.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
85	-	-	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`
2	-	-	`(-.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	-	-	`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	85	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	85
↳	`(*.f64 v v)`	overflow	85
↳	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`	overflow	2
`-.f64`	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	nan-rescue	2	0
↳	`(*.f64 v v)`	overflow	85
↳	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`	overflow	2

Confusion

	Predicted +	Predicted -
+	85	1
-	0	170

Precision

1.0

Recall

0.9883720930232558

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	1
-	0	0	170

Precision?

1.0

Recall?

0.9883720930232558

Freqs

test

number	freq
0	171
1	83
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

51.0ms	502×	0	valid
5.0ms	10×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 10.0ms (26% of total)

const: 8.0ms (20.8% of total)

ival-atan: 8.0ms (20.8% of total)

ival-div: 4.0ms (10.4% of total)

ival-sqrt: 4.0ms (10.4% of total)

ival-sub: 3.0ms (7.8% of total)

adjust: 1.0ms (2.6% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify24.0ms (0.3%)

Memory

-2.0MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	128	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))

Rules

224×	`lower-fma.f64`
224×	`lower-fma.f32`
168×	`lower-*.f32`
164×	`lower-*.f64`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Stop Event

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

localize311.0ms (3.7%)

Memory

-155.6MiB live, 71.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
✓	accuracy	99.4%	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
✓	accuracy	99.3%	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
✓	accuracy	69.1%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

289.0ms	251×	0	valid
3.0ms	5×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 283.0ms

ival-atan: 268.0ms (94.8% of total)

ival-mult: 5.0ms (1.8% of total)

const: 4.0ms (1.4% of total)

ival-div: 2.0ms (0.7% of total)

ival-sqrt: 2.0ms (0.7% of total)

ival-sub: 1.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series14.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

6 → 108

Calls

Call 1

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

Outputs
#<alt (* -98/5 H)>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (- (pow v 2) (* 98/5 H))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -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))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>
#<alt (* 98/5 H)>

Calls

27 calls:

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

rewrite372.0ms (4.4%)

Memory

22.6MiB live, 568.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 948×	`lower-fma.f64`
7 948×	`lower-fma.f32`
4 050×	`lower-*.f32`
4 046×	`lower-*.f64`
3 070×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36

Stop Event

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

Counts

6 → 333

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 v v) (.f64 H #s(literal -98/5 binary64)))
(+.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (neg.f64 (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))))))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (neg.f64 (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(exp.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 98/5 binary64) H) (.f64 v v)))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (*.f64 H #s(literal -98/5 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (/.f64 (/.f64 (.f64 #s(literal 92236816/625 binary64) (.f64 (.f64 H H) (.f64 H H))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v v)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))))) (/.f64 (.f64 #s(literal 833747762130149888/1953125 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))) (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (*.f64 H H)))))))
(-.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))) (/.f64 (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))))
(-.f64 (/.f64 (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (/.f64 (.f64 #s(literal 92236816/625 binary64) (.f64 (.f64 H H) (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
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(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (-.f64 (.f64 H #s(literal 9604/25 binary64)) (.f64 #s(literal 98/5 binary64) (.f64 v v)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (*.f64 v v)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (fma.f64 (.f64 v v) (.f64 (.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v))))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))))) (sqrt.f64 (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (-.f64 (.f64 H #s(literal 9604/25 binary64)) (.f64 #s(literal 98/5 binary64) (.f64 v v)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 98/5 binary64) H)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64))
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H)))

simplify397.0ms (4.7%)

Memory

-9.4MiB live, 503.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
6 464×	`lower-*.f64`
6 464×	`lower-*.f32`
3 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (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)))))))
(+ (* (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)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -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))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)

Outputs
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* 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))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
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(+ 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))))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -941192/125 binary64) (.f64 H H) (.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 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)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -941192/125 binary64) (.f64 H H) (.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(+ (* -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))))))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
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(+ (* (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)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) v)
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -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))))))))
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v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 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)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 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))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 H)))
(* -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))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (neg.f64 H))
(* -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)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H))
(* -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))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64))))) (neg.f64 H))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))

eval64.0ms (0.8%)

Memory: -1.3MiB live, 113.2MiB allocated
Compiler: Compiled 18 771 to 2 002 computations (89.3% saved)

prune61.0ms (0.7%)

Memory

17.1MiB live, 139.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	423	16	439
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	424	16	440

Accuracy

99.9%

Counts

440 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	30.2%	(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
	36.4%	(atan.f64 (pow.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	63.2%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
▶	67.2%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
	42.6%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
▶	21.3%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
▶	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	39.3%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
	39.3%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))))
▶	38.5%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	67.2%	(atan.f64 (.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
	67.2%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	39.1%	(atan.f64 #s(literal 1 binary64))
▶	30.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 512 to 324 computations (36.7% saved)

simplify199.0ms (2.3%)

Memory

15.6MiB live, 123.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	cost-diff	0	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
✓	cost-diff	384	(/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
✓	cost-diff	1088	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
✓	cost-diff	0	(*.f64 #s(literal -98/5 binary64) H)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))

Rules

1 264×	`lower-fma.f32`
1 262×	`lower-fma.f64`
1 064×	`lower-*.f32`
1 058×	`div-sub`
1 050×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	270
0	60	256
1	87	240
2	117	240
3	151	240
4	206	240
5	293	240
6	423	240
7	586	240
8	736	240
9	808	240
10	1003	240
11	1634	240
12	2372	240
13	3019	240
14	3247	240
15	3658	240
16	4100	240
17	4446	240
18	4583	240
19	4665	240
20	4733	240
21	4795	240
22	5081	240
23	5135	240
24	5135	240
25	5135	240
0	5135	240

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
v
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
v
(/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
(.f64 H (.f64 H #s(literal 9604/25 binary64)))
H
(*.f64 H #s(literal 9604/25 binary64))
#s(literal 9604/25 binary64)
(.f64 v (.f64 v (*.f64 v v)))
(.f64 v (.f64 v v))
(*.f64 v v)
(sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))
(-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
v
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) v)
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))))
(/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
(/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))))
v
(/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))))
(sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
(.f64 H (.f64 H #s(literal 9604/25 binary64)))
H
(*.f64 H #s(literal 9604/25 binary64))
#s(literal 9604/25 binary64)
(.f64 v (.f64 v (*.f64 v v)))
(.f64 v (.f64 v v))
(*.f64 v v)
(sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))
(-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)

localize149.0ms (1.8%)

Memory

-29.6MiB live, 259.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.8%	(*.f64 H #s(literal 9604/25 binary64))
✓	accuracy	99.4%	(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
✓	accuracy	87.2%	(sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.8%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))

Samples

55.0ms	171×	0	invalid
20.0ms	82×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 281 to 35 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

const: 13.0ms (22.6% of total)

ival-mult: 12.0ms (20.9% of total)

ival-div: 10.0ms (17.4% of total)

ival-atan: 10.0ms (17.4% of total)

ival-sqrt: 8.0ms (13.9% of total)

ival-sub: 2.0ms (3.5% of total)

adjust: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

20.8MiB live, 57.8MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))>
#<alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))>
#<alt (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))>
#<alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))>
#<alt (atan.f64 #s(literal -1 binary64))>
#<alt (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))>
#<alt (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))>
#<alt (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))>
#<alt (*.f64 #s(literal -98/5 binary64) H)>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))>
#<alt (atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))>
#<alt (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))>
#<alt (atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))>
#<alt (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))>
#<alt (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))>
#<alt (*.f64 H #s(literal -98/5 binary64))>
#<alt (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))>
#<alt (*.f64 H #s(literal 9604/25 binary64))>

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -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))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
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#<alt (* (pow v 2) (sqrt -1))>
#<alt (+ (* 4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* (pow v 2) (sqrt -1)))>
#<alt (+ (* (pow H 2) (+ (* -11529602/625 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 3)))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))>
#<alt (+ (* (pow H 2) (+ (* (pow H 2) (- (* 55365148804/15625 (/ (pow H 2) (* (pow v 10) (pow (sqrt -1) 5)))) (* 11529602/625 (/ 1 (* (pow v 6) (pow (sqrt -1) 3)))))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))>
#<alt (* 98/5 H)>
#<alt (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))>
#<alt (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))>
#<alt (* 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)))))))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))>
#<alt (* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))>
#<alt (* -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))))))))>
#<alt (* 98/5 H)>
#<alt (+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))>
#<alt (+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))>
#<alt (+ (* 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)))))>
#<alt (* (pow v 2) (sqrt -1))>
#<alt (* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))>
#<alt (* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))>
#<alt (* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))>
#<alt (* (pow v 2) (sqrt -1))>
#<alt (* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))>
#<alt (* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))>
#<alt (* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -1 (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (* 9604/25 (pow H 2))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* 9604/25 (pow H 2))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* 9604/25 (pow H 2))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>
#<alt (* 9604/25 H)>

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	H	@	inf	(/ v (/ (sqrt (- (* H (* H 9604/25)) (* v (* v (* v v))))) (sqrt (- (* H -98/5) (* v v)))))
2.0ms	H	@	0	(sqrt (/ 1 (+ (* v v) (* H -98/5))))
1.0ms	v	@	0	(/ v (sqrt (* -98/5 H)))
1.0ms	H	@	inf	(/ (sqrt (- (* H (* H 9604/25)) (* v (* v (* v v))))) (sqrt (- (* H -98/5) (* v v))))
1.0ms	H	@	0	(/ v (sqrt (* -98/5 H)))

rewrite518.0ms (6.1%)

Memory

-11.5MiB live, 698.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 762×	`lower-fma.f32`
12 760×	`lower-fma.f64`
6 192×	`lower-*.f32`
6 178×	`lower-*.f64`
3 416×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	205
0	60	145
1	181	140
2	1000	140
0	8969	140

Stop Event

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

Counts

20 → 1 164

Calls

Call 1

Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
(*.f64 H #s(literal -98/5 binary64))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
(*.f64 H #s(literal 9604/25 binary64))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (neg.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (/.f64 v (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) v)))
(/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))) v))
(/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 v) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (.f64 (/.f64 #s(literal -1 binary64) v) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 v (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(/.f64 (.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) v)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 (/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) v) (sqrt.f64 (fma.f64 v (.f64 v (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) v) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))) (.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(/.f64 (.f64 (neg.f64 v) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) v) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (/.f64 #s(literal -1 binary64) v)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)) (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) v) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) (/.f64 #s(literal -1 binary64) v)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))) #s(literal -1 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64)))) (/.f64 #s(literal -1 binary64) v)))
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(.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 (fma.f64 v (.f64 v (.f64 v (neg.f64 v))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))
(*.f64 H #s(literal 9604/25 binary64))
(.f64 #s(literal -98/5 binary64) (.f64 H #s(literal -98/5 binary64)))
(.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -98/5 binary64))
(*.f64 #s(literal 9604/25 binary64) H)

simplify457.0ms (5.4%)

Memory

-6.7MiB live, 740.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 806×	`lower-fma.f64`
10 806×	`lower-fma.f32`
7 340×	`lower-*.f64`
7 340×	`lower-*.f32`
3 448×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	621	7328
1	1814	7138
2	5851	7100
0	8353	6729

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 404

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (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)))))))
(+ (* (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)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -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))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 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)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (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))))
(+ (* -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)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -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)))))
(+ (* -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)))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (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)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -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)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (* (sqrt -1) (+ (* -625/92236816 (pow v 6)) (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2)))))) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (/ (sqrt 98/5) (sqrt -1)))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1)))))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (pow (sqrt 98/5) 3))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1))))))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (+ (* -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))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (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)))))))
(+ (* (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)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -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))))))))
(* (pow v 2) (sqrt -1))
(+ (* 4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* (pow v 2) (sqrt -1)))
(+ (* (pow H 2) (+ (* -11529602/625 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 3)))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))
(+ (* (pow H 2) (+ (* (pow H 2) (- (* 55365148804/15625 (/ (pow H 2) (* (pow v 10) (pow (sqrt -1) 5)))) (* 11529602/625 (/ 1 (* (pow v 6) (pow (sqrt -1) 3)))))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))
(* 98/5 H)
(* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))
(* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))
(* 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)))))))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))
(* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))
(* -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))))))))
(* 98/5 H)
(+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))
(+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))
(+ (* 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)))))
(* (pow v 2) (sqrt -1))
(* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))
(* (pow v 2) (sqrt -1))
(* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -1 (pow v 4))
(- (* 9604/25 (pow H 2)) (pow v 4))
(- (* 9604/25 (pow H 2)) (pow v 4))
(- (* 9604/25 (pow H 2)) (pow v 4))
(* 9604/25 (pow H 2))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* 9604/25 (pow H 2))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(* 9604/25 (pow H 2))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(* -1 (pow v 4))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* -1 (pow v 4))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)
(* 9604/25 H)

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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#s(literal -1 binary64)
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1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt H) (sqrt -98/5))
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(+ (* (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)))))))))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(neg.f64 (fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -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))))))))
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v
(+ v (* -49/5 (/ H v)))
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(* (sqrt H) (sqrt -98/5))
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(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 #s(literal 25/19208 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))
(+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 25/19208 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) #s(literal 125/1882384 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (* (sqrt -1) (+ (* -625/92236816 (pow v 6)) (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2)))))) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
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(+ (* -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))))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal -25/19208 binary64)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal 5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* (* v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (/ (sqrt 98/5) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal -1/2 binary64)))))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (pow (sqrt 98/5) 3))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))))
(* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 98/5))))) (+ (* -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))))) (* (sqrt (/ 1 H)) (/ (sqrt 98/5) (sqrt -1)))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) #s(literal -1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 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))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) #s(literal 1/2 binary64)))) (neg.f64 H))
(* -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)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))) (neg.f64 H))
(* -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))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (*.f64 H H)))) #s(literal 1/2 binary64)))))) (neg.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 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)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 5/784 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 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)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) v)
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(neg.f64 (fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64))) (neg.f64 v))
(* -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))))))))
(.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))) (neg.f64 v))
(* (pow v 2) (sqrt -1))
(.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))
(+ (* 4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* (pow v 2) (sqrt -1)))
(fma.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal 4802/25 binary64)) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))))
(+ (* (pow H 2) (+ (* -11529602/625 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 3)))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))
(fma.f64 H (.f64 H (fma.f64 #s(literal 11529602/625 binary64) (/.f64 (.f64 H H) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 4802/25 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (pow H 2) (+ (* (pow H 2) (- (* 55365148804/15625 (/ (pow H 2) (* (pow v 10) (pow (sqrt -1) 5)))) (* 11529602/625 (/ 1 (* (pow v 6) (pow (sqrt -1) 3)))))) (* 4802/25 (/ 1 (* (pow v 2) (sqrt -1)))))) (* (pow v 2) (sqrt -1)))
(fma.f64 (.f64 H H) (fma.f64 (.f64 H H) (fma.f64 #s(literal 55365148804/15625 binary64) (/.f64 (.f64 H H) (.f64 (pow.f64 v #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -11529602/625 binary64) (.f64 (pow.f64 v #s(literal 6 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 4802/25 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2)))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 H H)) #s(literal -5/196 binary64) #s(literal 98/5 binary64)))
(* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4))))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) #s(literal -5/196 binary64) (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (.f64 H H) (.f64 H H))) #s(literal 98/5 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)))))))
(.f64 H (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) #s(literal -5/196 binary64) #s(literal 98/5 binary64)) (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (.f64 H H) (.f64 H H))) (/.f64 (*.f64 #s(literal -3125/144627327488 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 H #s(literal 6 binary64))))))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -5/196 (/ (pow v 4) (pow H 2))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 H H)) #s(literal -5/196 binary64) #s(literal 98/5 binary64)) (neg.f64 H))
(* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) #s(literal -5/196 binary64) (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (.f64 H H) (.f64 H H))) #s(literal 98/5 binary64))) (neg.f64 H))
(* -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))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) #s(literal -5/196 binary64) #s(literal 98/5 binary64)) (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (pow.f64 v #s(literal 8 binary64)) (.f64 (.f64 H H) (.f64 H H))) (/.f64 (*.f64 #s(literal -3125/144627327488 binary64) (pow.f64 v #s(literal 12 binary64))) (pow.f64 H #s(literal 6 binary64))))) (neg.f64 H))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(+ (* -5/196 (/ (pow v 4) H)) (* 98/5 H))
(fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) H) #s(literal -5/196 binary64) (.f64 H #s(literal 98/5 binary64)))
(+ (* 98/5 H) (* (pow v 4) (- (* -125/7529536 (/ (pow v 4) (pow H 3))) (* 5/196 (/ 1 H)))))
(fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H (.f64 H H))) (/.f64 #s(literal -5/196 binary64) H)) (*.f64 H #s(literal 98/5 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)))))
(fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -3125/144627327488 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (pow.f64 H #s(literal 5 binary64))) (/.f64 #s(literal -125/7529536 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -5/196 binary64) H)) (.f64 H #s(literal 98/5 binary64)))
(* (pow v 2) (sqrt -1))
(.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))
(* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))
(.f64 (.f64 v v) (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))
(.f64 v (.f64 v (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 H H) (.f64 H H)) (*.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 11529602/625 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 55365148804/15625 binary64) (/.f64 (pow.f64 H #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 H H) (.f64 H H)) (*.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 11529602/625 binary64))))))
(* (pow v 2) (sqrt -1))
(.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))
(* (pow v 2) (+ (sqrt -1) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))
(.f64 (.f64 v v) (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))))
(.f64 v (.f64 v (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 (.f64 H H) (.f64 H H)) (*.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 11529602/625 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* (pow v 2) (+ (sqrt -1) (+ (* -11529602/625 (/ (pow H 4) (* (pow v 8) (pow (sqrt -1) 3)))) (+ (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* 55365148804/15625 (/ (pow H 6) (* (pow v 12) (pow (sqrt -1) 5))))))))
(.f64 (.f64 v v) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 55365148804/15625 binary64) (/.f64 (pow.f64 H #s(literal 6 binary64)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 #s(literal 4802/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (.f64 H H) (.f64 H H)) (*.f64 (pow.f64 v #s(literal 8 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 11529602/625 binary64))))))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (pow v 4))
(neg.f64 (.f64 (.f64 v v) (*.f64 v v)))
(- (* 9604/25 (pow H 2)) (pow v 4))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(- (* 9604/25 (pow H 2)) (pow v 4))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(- (* 9604/25 (pow H 2)) (pow v 4))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(* 9604/25 (pow H 2))
(.f64 H (.f64 H #s(literal 9604/25 binary64)))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* 9604/25 (pow H 2))
(.f64 H (.f64 H #s(literal 9604/25 binary64)))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))
(.f64 (.f64 H H) (-.f64 #s(literal 9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* 9604/25 (pow H 2))
(.f64 H (.f64 H #s(literal 9604/25 binary64)))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))
(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))
(* -1 (pow v 4))
(neg.f64 (.f64 (.f64 v v) (*.f64 v v)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* -1 (pow v 4))
(neg.f64 (.f64 (.f64 v v) (*.f64 v v)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))
(* 9604/25 H)
(*.f64 H #s(literal 9604/25 binary64))

eval293.0ms (3.4%)

Memory: 16.3MiB live, 461.0MiB allocated
Compiler: Compiled 62 182 to 5 488 computations (91.2% saved)

prune180.0ms (2.1%)

Memory

30.2MiB live, 494.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 792	6	1 798
Fresh	7	4	11
Picked	2	3	5
Done	0	0	0
Total	1 801	13	1 814

Accuracy

99.9%

Counts

1 814 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.2%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
	39.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	38.4%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
	42.6%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
▶	33.0%	(atan.f64 (/.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	39.3%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
✓	38.5%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	38.4%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
▶	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	39.2%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
▶	39.1%	(atan.f64 #s(literal 1 binary64))
✓	30.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 309 to 213 computations (31.1% saved)

simplify294.0ms (3.5%)

Memory

-15.6MiB live, 133.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -98/5 binary64) H)
✓	cost-diff	0	(/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	cost-diff	0	(atan.f64 (/.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
✓	cost-diff	384	(/.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
✓	cost-diff	0	(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v)
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(/.f64 H (*.f64 v v))
✓	cost-diff	0	(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	cost-diff	0	(atan.f64 #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))

Rules

1 616×	`lower-fma.f32`
1 612×	`lower-fma.f64`
1 408×	`lower-*.f32`
1 398×	`lower-*.f64`
728×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	187
0	49	187
1	74	183
2	107	183
3	209	183
4	363	183
5	504	183
6	553	183
7	774	183
8	1760	183
9	2887	183
10	3716	183
11	3986	183
12	4196	183
13	4304	183
14	4336	183
15	4352	183
16	4357	183
17	4357	183
18	4357	183
19	4501	183
20	5193	183
21	5314	183
22	5318	183
23	5318	183
24	5318	183
25	5318	183
26	5318	183
27	5318	183
0	5318	183

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize176.0ms (2.1%)

Memory

-7.5MiB live, 187.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
✓	accuracy	99.8%	(/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	accuracy	99.8%	(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
✓	accuracy	96.7%	(/.f64 H (*.f64 v v))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.9%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.8%	(*.f64 H #s(literal -98/5 binary64))

Samples

86.0ms	171×	0	invalid
27.0ms	82×	0	valid
3.0ms	3×	5	exit

Compiler

Compiled 196 to 30 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 40.0ms (56.5% of total)

ival-atan: 8.0ms (11.3% of total)

const: 7.0ms (9.9% of total)

ival-div: 6.0ms (8.5% of total)

ival-sqrt: 5.0ms (7.1% of total)

ival-add: 2.0ms (2.8% of total)

adjust: 1.0ms (1.4% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

7.1MiB live, 47.0MiB allocated

Counts

18 → 348

Calls

Call 1

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

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
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#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))>
#<alt (* -98/5 (/ (* H (sqrt -1)) v))>
#<alt (* H (+ (* -4802/25 (/ H (* (pow v 3) (sqrt -1)))) (* -98/5 (/ (sqrt -1) v))))>
#<alt (* H (+ (* -98/5 (/ (sqrt -1) v)) (* H (- (* 49/5 (/ (* H (* v (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6)))))) (sqrt -1))) (* 4802/25 (/ 1 (* (pow v 3) (sqrt -1))))))))>
#<alt (* H (+ (* -98/5 (/ (sqrt -1) v)) (* H (- (* H (+ (* -49/5 (/ (* H (* v (- (* 941192/125 (/ 1 (pow v 8))) (* -49/5 (/ (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6)))) (* (pow v 2) (pow (sqrt -1) 2))))))) (sqrt -1))) (* 49/5 (/ (* v (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6))))) (sqrt -1))))) (* 4802/25 (/ 1 (* (pow v 3) (sqrt -1))))))))>
#<alt (* -98/5 (* (sqrt H) (/ (sqrt 5/98) (sqrt -1))))>
#<alt (* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98)))))))>
#<alt (* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (sqrt 5/98))))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98))))))))>
#<alt (* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (sqrt 5/98))))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98))))) (* 49/5 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))) (* (sqrt -1) (sqrt 5/98)))))))))>
#<alt (* -98/5 (* (sqrt H) (* (sqrt -1) (sqrt 5/98))))>
#<alt (* -1 (* H (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))>
#<alt (* -1 (* H (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))))>
#<alt (* -1 (* H (+ (* -1 (/ (+ (* 25/19208 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 49/5 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/92236816 (pow v 6)) (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))))) (sqrt 5/98))))) (pow H 3))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))))>
#<alt (* -98/5 (* (sqrt H) (sqrt -5/98)))>
#<alt (+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* -5/196 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -5/98)))))>
#<alt (+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 H)) (/ 1 (sqrt -5/98)))) (* 49/5 (* (sqrt (pow H 3)) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))))))>
#<alt (+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 H)) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -49/5 (* (sqrt (pow H 3)) (/ (* (pow v 2) (- (* 625/92236816 (/ 1 (pow H 4))) (* -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)))))) (sqrt -5/98)))) (* 49/5 (* (sqrt (pow H 3)) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))>
#<alt (* -98/5 (/ (* H (sqrt -1)) v))>
#<alt (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* -98/5 (* H (sqrt -1)))) v)>
#<alt (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1)))))) v)>
#<alt (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (+ (* 49/5 (/ (* H (+ (* -941192/125 (pow H 3)) (* -49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (pow (sqrt -1) 2))))) (* (pow v 6) (sqrt -1)))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1))))))) v)>
#<alt (* 98/5 (/ (* H (sqrt -1)) v))>
#<alt (* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* -98/5 (* H (sqrt -1)))) v))>
#<alt (* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1)))))) v))>
#<alt (* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (+ (* 49/5 (/ (* H (+ (* -941192/125 (pow H 3)) (* -49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (pow (sqrt -1) 2))))) (* (pow v 6) (sqrt -1)))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1))))))) v))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	H	@	-inf	(/ v (/ (* -98/5 H) (sqrt (- (* H -98/5) (* v v)))))
5.0ms	v	@	0	(/ v (/ (* -98/5 H) (sqrt (- (* H -98/5) (* v v)))))
3.0ms	H	@	0	(/ (* -98/5 H) (sqrt (- (* H -98/5) (* v v))))
1.0ms	H	@	inf	(/ v (/ (* -98/5 H) (sqrt (- (* H -98/5) (* v v)))))
1.0ms	v	@	0	(/ (* -98/5 H) (sqrt (- (* H -98/5) (* v v))))

rewrite340.0ms (4%)

Memory

6.2MiB live, 592.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 870×	`lower-fma.f32`
6 866×	`lower-fma.f64`
5 108×	`lower-*.f32`
5 098×	`lower-*.f64`
3 846×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	141
0	49	141
1	154	131
2	870	131
0	8454	131

Stop Event

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

Counts

18 → 515

Calls

Call 1

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

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
(.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) v))
(.f64 (.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal 98/5 binary64))))))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64))))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))))
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(.f64 (/.f64 #s(literal 5/98 binary64) H) (/.f64 v (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) v) (/.f64 #s(literal -5/98 binary64) H))
(.f64 #s(literal 5/98 binary64) (/.f64 v (/.f64 (neg.f64 H) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))))
(.f64 (/.f64 v (/.f64 H (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) #s(literal -5/98 binary64))
(.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) (/.f64 #s(literal -5/98 binary64) H))
(.f64 (pow.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 v (.f64 H #s(literal 98/5 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (.f64 (/.f64 v (.f64 H #s(literal -98/5 binary64))) (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (/.f64 v (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (atan.f64 (.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal -98/5 binary64) (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) H))
(/.f64 (.f64 H #s(literal -98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 H #s(literal 98/5 binary64))))
(/.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 H #s(literal 98/5 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 (.f64 (.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 H #s(literal 98/5 binary64))) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 (.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
(/.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/98 binary64) H)) (neg.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(pow.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(.f64 H (/.f64 #s(literal -98/5 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 H (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -98/5 binary64)))
(.f64 H (.f64 #s(literal 98/5 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))))
(.f64 #s(literal -98/5 binary64) (/.f64 H (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (.f64 H #s(literal -98/5 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 H #s(literal 98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(.f64 (neg.f64 H) (.f64 #s(literal -98/5 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (*.f64 H #s(literal -98/5 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)))
(.f64 (/.f64 H (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))) #s(literal -98/5 binary64))
(.f64 #s(literal 98/5 binary64) (/.f64 (neg.f64 H) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal 5/98 binary64) H) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 H #s(literal 98/5 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 H #s(literal -1 binary64)) (/.f64 #s(literal 98/5 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (/.f64 H (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal -98/5 binary64) (pow.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal -98/5 binary64) (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 H (pow.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 H) #s(literal -1 binary64)) (/.f64 #s(literal -98/5 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))) H) #s(literal -98/5 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -98/5 binary64)) H)
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(.f64 #s(literal 1 binary64) (.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 H #s(literal 98/5 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(.f64 #s(literal 1 binary64) (.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 H #s(literal 98/5 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))

simplify460.0ms (5.4%)

Memory

-16.5MiB live, 766.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 140×	`lower-fma.f64`
10 140×	`lower-fma.f32`
7 742×	`lower-*.f64`
7 742×	`lower-*.f32`
2 738×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	5730
1	2013	5519
2	6502	5496
0	8100	5237

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 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)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
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(* 98/5 (/ (* H (sqrt -1)) v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* -98/5 (* H (sqrt -1)))) v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1)))))) v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (+ (* 49/5 (/ (* H (+ (* -941192/125 (pow H 3)) (* -49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (pow (sqrt -1) 2))))) (* (pow v 6) (sqrt -1)))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1))))))) v))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 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))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 (.f64 v v) #s(literal -1/2 binary64)) (/.f64 (.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 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))))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) (/.f64 #s(literal 625/92236816 binary64) (.f64 (.f64 H (.f64 H H)) H))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (/.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal 1 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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 H #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 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)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 H #s(literal -49/5 binary64)) (.f64 H (.f64 (*.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 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)))))
(fma.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 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))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 (/.f64 (.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal -5/98 binary64)) (.f64 #s(literal 625/368947264 binary64) v) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 #s(literal -125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 v (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 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))))))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))) (fma.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) #s(literal -125/1882384 binary64)) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(+ (* -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))))))
(-.f64 (fma.f64 v (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)))) (.f64 H (.f64 H H))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 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)))))))
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(/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) H)
(* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (* 1/2 (/ 1 (* (pow v 2) (sqrt -1))))))
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(* 5/98 (/ (* (pow v 2) (sqrt -1)) H))
(.f64 #s(literal 5/98 binary64) (/.f64 (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) H))
(* (pow v 2) (- (* 5/98 (/ (sqrt -1) H)) (* 1/2 (/ 1 (* (pow v 2) (sqrt -1))))))
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(* (pow v 2) (- (+ (* -49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (* 5/98 (/ (sqrt -1) H))) (/ 1/2 (* (pow v 2) (sqrt -1)))))
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(* -5/98 (/ (* (pow v 2) (sqrt -1)) H))
(/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) H)
(/ (+ (* -5/98 (* (pow v 2) (sqrt -1))) (* 1/2 (/ H (sqrt -1)))) H)
(/.f64 (fma.f64 H (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -5/98 binary64) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))) H)
(/ (+ (* -5/98 (* (pow v 2) (sqrt -1))) (* H (+ (* 49/20 (/ H (* (pow v 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))))) H)
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(/ (+ (* -5/98 (* (pow v 2) (sqrt -1))) (* H (+ (* H (+ (* 2401/100 (/ H (* (pow v 4) (pow (sqrt -1) 5)))) (* 49/20 (/ 1 (* (pow v 2) (pow (sqrt -1) 3)))))) (* 1/2 (/ 1 (sqrt -1)))))) H)
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(* -5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))
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(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))))
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(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3))))))
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(* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))
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(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
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(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
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(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
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(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))
(atan.f64 (.f64 (/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) H) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))
(atan.f64 (.f64 (/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) H) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))
(atan.f64 (.f64 (/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) H) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(atan (* -5/98 (* (/ (* v (sqrt -1)) H) (sqrt (+ (* 98/5 H) (pow v 2))))))
(atan.f64 (.f64 (/.f64 (.f64 #s(literal -5/98 binary64) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) H) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(atan (* -5/98 (* (/ v H) (sqrt (- (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H))) (*.f64 (/.f64 v H) #s(literal -5/98 binary64))))
(* -98/5 (/ (* H (sqrt -1)) v))
(.f64 #s(literal -98/5 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) v) H))
(* H (+ (* -4802/25 (/ H (* (pow v 3) (sqrt -1)))) (* -98/5 (/ (sqrt -1) v))))
(.f64 H (fma.f64 #s(literal -4802/25 binary64) (/.f64 H (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -1 binary64))) v)))
(* H (+ (* -98/5 (/ (sqrt -1) v)) (* H (- (* 49/5 (/ (* H (* v (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6)))))) (sqrt -1))) (* 4802/25 (/ 1 (* (pow v 3) (sqrt -1))))))))
(.f64 H (fma.f64 H (fma.f64 #s(literal 49/5 binary64) (.f64 H (.f64 (+.f64 (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -2401/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 v (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -4802/25 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))) (/.f64 (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -1 binary64))) v)))
(* H (+ (* -98/5 (/ (sqrt -1) v)) (* H (- (* H (+ (* -49/5 (/ (* H (* v (- (* 941192/125 (/ 1 (pow v 8))) (* -49/5 (/ (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6)))) (* (pow v 2) (pow (sqrt -1) 2))))))) (sqrt -1))) (* 49/5 (/ (* v (+ (* 2401/25 (/ 1 (* (pow v 6) (pow (sqrt -1) 2)))) (* 9604/25 (/ 1 (pow v 6))))) (sqrt -1))))) (* 4802/25 (/ 1 (* (pow v 3) (sqrt -1))))))))
(.f64 H (fma.f64 #s(literal -98/5 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) v) (.f64 H (fma.f64 H (fma.f64 v (.f64 (/.f64 (+.f64 (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -2401/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 49/5 binary64)) (/.f64 (.f64 (.f64 #s(literal -49/5 binary64) (.f64 H v)) (fma.f64 #s(literal -49/5 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -2401/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 v v)) (/.f64 #s(literal 941192/125 binary64) (pow.f64 v #s(literal 8 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -4802/25 binary64) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))))))
(* -98/5 (* (sqrt H) (/ (sqrt 5/98) (sqrt -1))))
(/.f64 (.f64 (.f64 #s(literal -98/5 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98)))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 5/196 binary64)))))
(* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (sqrt 5/98))))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98))))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 5/196 binary64)) (/.f64 (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (.f64 (.f64 v v) (.f64 v v))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))))))
(* H (+ (* -98/5 (* (sqrt (/ 1 H)) (/ (sqrt 5/98) (sqrt -1)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (* (sqrt -1) (sqrt 5/98))))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (* (sqrt -1) (sqrt 5/98))))) (* 49/5 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))) (* (sqrt -1) (sqrt 5/98)))))))))
(.f64 H (fma.f64 #s(literal -98/5 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 5/196 binary64)) (fma.f64 #s(literal 49/5 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 #s(literal 625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (/.f64 (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (.f64 (.f64 v v) (.f64 v v))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))))
(* -98/5 (* (sqrt H) (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 #s(literal -98/5 binary64) (sqrt.f64 H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))
(* -1 (* H (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
(neg.f64 (.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 5/196 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 98/5 binary64))))))
(* -1 (* H (+ (* -25/19208 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))))
(.f64 (fma.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 5/196 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 98/5 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1 (/ (+ (* 25/19208 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 49/5 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/92236816 (pow v 6)) (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))))) (sqrt 5/98))))) (pow H 3))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* 98/5 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))))
(neg.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -625/368947264 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 49/5 binary64)) (.f64 #s(literal 25/19208 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H))))) (.f64 H H))) (.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 5/196 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 98/5 binary64)))))))
(* -98/5 (* (sqrt H) (sqrt -5/98)))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -98/5 binary64)))
(+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* -5/196 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -5/196 binary64)) (.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -98/5 binary64))))
(+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 H)) (/ 1 (sqrt -5/98)))) (* 49/5 (* (sqrt (pow H 3)) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))))))
(fma.f64 (.f64 v v) (fma.f64 #s(literal 49/5 binary64) (.f64 (/.f64 (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (.f64 H (.f64 H H)))) (.f64 #s(literal -5/196 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -98/5 binary64))))
(+ (* -98/5 (* (sqrt H) (sqrt -5/98))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 H)) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -49/5 (* (sqrt (pow H 3)) (/ (* (pow v 2) (- (* 625/92236816 (/ 1 (pow H 4))) (* -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)))))) (sqrt -5/98)))) (* 49/5 (* (sqrt (pow H 3)) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(fma.f64 #s(literal -98/5 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 H)) (.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 (.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) (/.f64 #s(literal 625/92236816 binary64) (.f64 (.f64 H (.f64 H H)) H))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (.f64 H (.f64 H H))) #s(literal -49/5 binary64)) (.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (sqrt.f64 (.f64 H (.f64 H H))) #s(literal 49/5 binary64))))) (*.f64 #s(literal -5/196 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))))
(* -98/5 (/ (* H (sqrt -1)) v))
(.f64 #s(literal -98/5 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) v) H))
(/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* -98/5 (* H (sqrt -1)))) v)
(/.f64 (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))))) v)
(/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1)))))) v)
(/.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 (.f64 H (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))))))) v)
(/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (+ (* 49/5 (/ (* H (+ (* -941192/125 (pow H 3)) (* -49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (pow (sqrt -1) 2))))) (* (pow v 6) (sqrt -1)))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1))))))) v)
(/.f64 (fma.f64 #s(literal 49/5 binary64) (.f64 H (+.f64 (/.f64 (fma.f64 H (.f64 (/.f64 (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))))) (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))))))) v)
(* 98/5 (/ (* H (sqrt -1)) v))
(.f64 #s(literal 98/5 binary64) (/.f64 (.f64 H (sqrt.f64 #s(literal -1 binary64))) v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (* -98/5 (* H (sqrt -1)))) v))
(/.f64 (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))))) (neg.f64 v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1)))))) v))
(/.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 (.f64 H (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))))))) (neg.f64 v))
(* -1 (/ (+ (* -4802/25 (/ (pow H 2) (* (pow v 2) (sqrt -1)))) (+ (* -98/5 (* H (sqrt -1))) (+ (* 49/5 (/ (* H (+ (* -941192/125 (pow H 3)) (* -49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (pow (sqrt -1) 2))))) (* (pow v 6) (sqrt -1)))) (* 49/5 (/ (* H (+ (* 2401/25 (/ (pow H 2) (pow (sqrt -1) 2))) (* 9604/25 (pow H 2)))) (* (pow v 4) (sqrt -1))))))) v))
(/.f64 (fma.f64 #s(literal 49/5 binary64) (.f64 H (+.f64 (/.f64 (fma.f64 H (.f64 (/.f64 (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1 binary64)) #s(literal -49/5 binary64)) (.f64 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 H H) #s(literal -2401/25 binary64) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))))) (fma.f64 #s(literal -98/5 binary64) (.f64 H (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -4802/25 binary64) (.f64 H (/.f64 H (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))))))) (neg.f64 v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)

eval163.0ms (1.9%)

Memory: 21.9MiB live, 249.6MiB allocated
Compiler: Compiled 18 387 to 2 745 computations (85.1% saved)

prune97.0ms (1.1%)

Memory

-11.8MiB live, 261.3MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	928	4	932
Fresh	2	3	5
Picked	2	3	5
Done	0	3	3
Total	932	13	945

Accuracy

100.0%

Counts

945 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.3%	(atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	30.2%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
▶	39.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	30.0%	(atan.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -5/98 binary64)) v) H))
▶	38.4%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
▶	42.6%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	38.5%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	29.0%	(atan.f64 (.f64 (/.f64 v (.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
✓	38.4%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
▶	38.5%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	39.1%	(atan.f64 #s(literal 1 binary64))
✓	30.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 225 to 162 computations (28% saved)

simplify24.0ms (0.3%)

Memory

0.9MiB live, 42.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -5/98 binary64) H)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	cost-diff	0	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
✓	cost-diff	1088	(/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v))
✓	cost-diff	0	(/.f64 H v)
✓	cost-diff	0	(fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))
✓	cost-diff	0	(atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	cost-diff	384	(/.f64 (/.f64 H v) v)
✓	cost-diff	0	(/.f64 #s(literal -5/98 binary64) H)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
✓	cost-diff	0	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	cost-diff	0	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -49/5 binary64) v)
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	cost-diff	0	(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	cost-diff	0	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))

Rules

224×	`lower-*.f32`
220×	`lower-*.f64`
148×	`times-frac`
120×	`associate-l`
104×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	48	137
1	68	137
2	86	137
3	103	137
4	105	137
5	118	137
6	162	137
7	205	137
8	280	137
9	378	137
10	398	137
11	402	137
12	404	137
13	409	137
14	416	137
15	426	137
16	432	137
0	432	137

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize132.0ms (1.5%)

Memory

-3.7MiB live, 230.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
✓	accuracy	99.9%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	100.0%	(/.f64 H v)
✓	accuracy	100.0%	(atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 H v) v)
✓	accuracy	99.8%	(fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))
✓	accuracy	100.0%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	accuracy	99.9%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	95.9%	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	accuracy	99.9%	(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	accuracy	99.9%	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	accuracy	99.6%	(/.f64 #s(literal -49/5 binary64) v)

Samples

39.0ms	161×	0	valid
23.0ms	95×	0	invalid

Compiler

Compiled 150 to 31 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 13.0ms (29.2% of total)

const: 10.0ms (22.5% of total)

ival-mult: 8.0ms (18% of total)

ival-atan: 8.0ms (18% of total)

ival-add: 3.0ms (6.7% of total)

ival-sqrt: 2.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

31.0MiB live, 31.0MiB allocated

Counts

18 → 372

Calls

Call 1

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

Outputs
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (* -49/5 (/ H v))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* -49/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -49/5 (/ H v))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (- 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (atan (- 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (atan (- 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (atan (- 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (atan (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))>
#<alt (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))>
#<alt (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))>
#<alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))>
#<alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (/ 49/5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt (atan (- (* -49/5 (/ H (pow v 2))) 1))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (/ H v)>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>

Calls

93 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(* (sqrt (/ -5/98 H)) v)
1.0ms	H	@	0	(* (sqrt (/ -5/98 H)) v)
1.0ms	H	@	-inf	(* (sqrt (/ -5/98 H)) v)
1.0ms	v	@	0	(/ v (+ (* H (/ -49/5 v)) v))
0.0ms	v	@	inf	(* (sqrt (/ -5/98 H)) v)

rewrite353.0ms (4.2%)

Memory

-27.9MiB live, 504.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 796×	`lower-fma.f32`
7 790×	`lower-fma.f64`
4 896×	`lower-*.f32`
4 892×	`lower-*.f64`
3 674×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	113
0	48	109
1	160	109
2	932	109
0	8792	109

Stop Event

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

Counts

18 → 664

Calls

Call 1

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

Outputs
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(neg.f64 (atan.f64 (/.f64 v (-.f64 (/.f64 H (*.f64 v #s(literal 5/49 binary64))) v))))
(+.f64 (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v))) (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 v (+.f64 v (/.f64 H (*.f64 v #s(literal 5/49 binary64)))))))
(+.f64 (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64)))))) (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v v))))
(+.f64 (.f64 (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v))) (/.f64 H (.f64 v #s(literal -5/49 binary64)))) (.f64 (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (*.f64 v v))) (neg.f64 v)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v)))))) (.f64 (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64))))) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))))))
(+.f64 (.f64 (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64))))) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v)))))) (.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))))))
(+.f64 (.f64 (/.f64 H (.f64 v #s(literal -5/49 binary64))) (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v)))) (.f64 (neg.f64 v) (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 v (-.f64 (/.f64 H (*.f64 v #s(literal 5/49 binary64))) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 H (.f64 v #s(literal 5/49 binary64))) v)) (/.f64 v (-.f64 (/.f64 H (.f64 v #s(literal 5/49 binary64))) v)))
(fma.f64 (/.f64 H (.f64 v #s(literal -5/49 binary64))) (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v))) (.f64 (neg.f64 v) (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v)))))
(fma.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64))))) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v)))))))
(fma.f64 (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64))))) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v)))))))
(fma.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64)))))))
(fma.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64))))) (.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v))))
(fma.f64 (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v))) (/.f64 H (.f64 v #s(literal -5/49 binary64))) (.f64 (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v))) (neg.f64 v)))
(neg.f64 (/.f64 v (-.f64 (/.f64 H (*.f64 v #s(literal 5/49 binary64))) v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v)))
(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
(/.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v) v)))
(/.f64 (neg.f64 v) (-.f64 (/.f64 H (*.f64 v #s(literal 5/49 binary64))) v))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 v (-.f64 (/.f64 H (*.f64 v #s(literal 5/49 binary64))) v)) #s(literal -1 binary64))
(/.f64 (/.f64 v (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64)))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)))))
(/.f64 (/.f64 v (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v))) (/.f64 #s(literal -1 binary64) (fma.f64 H (/.f64 #s(literal 49/5 binary64) v) v)))
(/.f64 (.f64 v (fma.f64 v (+.f64 v (/.f64 H (.f64 v #s(literal 5/49 binary64)))) (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)))) (fma.f64 v (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))))
(/.f64 (.f64 v (-.f64 (/.f64 H (.f64 v #s(literal -5/49 binary64))) v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v v)) (.f64 v v)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal -1 binary64))
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))))
(.f64 (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 H) v)))
(.f64 (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) (neg.f64 v))
(.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) v))
(.f64 (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
(.f64 (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal -5/98 binary64)) v)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (/.f64 #s(literal -1 binary64) v)))
(.f64 (/.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) v)))
(.f64 (/.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -5/98 binary64)) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (pow.f64 v #s(literal -1/2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (pow.f64 v #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 H #s(literal -98/5 binary64))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal -1/2 binary64)))
(.f64 (.f64 v (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (neg.f64 v))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))

simplify347.0ms (4.1%)

Memory

10.3MiB live, 559.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 620×	`lower-fma.f64`
8 620×	`lower-fma.f32`
5 562×	`lower-*.f64`
5 562×	`lower-*.f32`
2 502×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	3084
1	490	3074
2	1250	3058
3	3882	3054
0	8593	2892

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 369

Calls

Call 1

Inputs
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(* -5/49 (/ (pow v 2) H))
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
(* -5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
v
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(* -49/5 (/ H v))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* -49/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -49/5 (/ H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* 49/5 (/ H (pow v 2)))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))
(atan (neg (+ 1 (* 49/5 (/ H (pow v 2))))))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
(atan (- (* -49/5 (/ H (pow v 2))) 1))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(* -49/5 (/ H (pow v 2)))
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -49/5 (/ H (pow v 2)))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -49/5 (/ H (pow v 2)))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(/ H v)
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))

Outputs
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(* -5/49 (/ (pow v 2) H))
(/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H)
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(.f64 v (.f64 v (fma.f64 v (.f64 (/.f64 v (.f64 H H)) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal -125/117649 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal -25/2401 binary64) (*.f64 H H)))) (/.f64 #s(literal -5/49 binary64) H)))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (/.f64 #s(literal -625/5764801 binary64) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/117649 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/2401 binary64) (.f64 H H))) (/.f64 #s(literal -5/49 binary64) H))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/125 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/125 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/125 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 2401/25 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* -5/49 (/ (pow v 2) H))
(/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H)
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
(/.f64 (fma.f64 #s(literal -25/2401 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) H) (.f64 #s(literal -5/49 binary64) (*.f64 v v))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
(/.f64 (fma.f64 v (.f64 v #s(literal -5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (*.f64 #s(literal -125/117649 binary64) (pow.f64 v #s(literal 6 binary64))) H)) H)) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
(/.f64 (fma.f64 v (.f64 v #s(literal -5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (fma.f64 #s(literal -125/117649 binary64) (pow.f64 v #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -625/5764801 binary64) (pow.f64 v #s(literal 8 binary64))) H)) H)) H)) H)
(* -5/49 (/ (pow v 2) H))
(/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H)
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))
(/.f64 (fma.f64 #s(literal -25/2401 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) H) (.f64 #s(literal -5/49 binary64) (*.f64 v v))) H)
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(/.f64 (fma.f64 v (.f64 v #s(literal -5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (*.f64 #s(literal -125/117649 binary64) (pow.f64 v #s(literal 6 binary64))) H)) H)) H)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(/.f64 (fma.f64 v (.f64 v #s(literal -5/49 binary64)) (/.f64 (fma.f64 #s(literal -25/2401 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (fma.f64 #s(literal -125/117649 binary64) (pow.f64 v #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -625/5764801 binary64) (pow.f64 v #s(literal 8 binary64))) H)) H)) H)) H)
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -49/5 (/ H v))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -49/5 (/ H v))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -49/5 (/ H v))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/.f64 (fma.f64 v v (*.f64 #s(literal -49/5 binary64) H)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/.f64 (fma.f64 v v (*.f64 #s(literal -49/5 binary64) H)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/.f64 (fma.f64 v v (*.f64 #s(literal -49/5 binary64) H)) v)
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* 49/5 (/ H (pow v 2)))
(.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* 49/5 (/ H (pow v 2)))
(.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(* 49/5 (/ H (pow v 2)))
(.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
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(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(/ H v)
(/.f64 H v)
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))

eval186.0ms (2.2%)

Memory: 6.0MiB live, 310.1MiB allocated
Compiler: Compiled 17 008 to 2 335 computations (86.3% saved)

prune105.0ms (1.2%)

Memory

13.3MiB live, 289.6MiB allocated

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	1 109	4	1 113
Fresh	1	1	2
Picked	1	4	5
Done	0	6	6
Total	1 111	15	1 126

Accuracy

100.0%

Counts

1 126 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	30.3%	(atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	30.2%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	39.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	30.0%	(atan.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -5/98 binary64)) v) H))
	38.4%	(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (neg.f64 H))))
	10.8%	(atan.f64 (/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H))
✓	42.6%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	38.5%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	38.4%	(atan.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (neg.f64 H))) v))
✓	38.4%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
	38.4%	(atan.f64 (.f64 (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) H))) v))
✓	38.5%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	39.1%	(atan.f64 #s(literal 1 binary64))
✓	30.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 565 to 271 computations (52% saved)

regimes48.0ms (0.6%)

Memory

8.7MiB live, 123.8MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H))
(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (neg.f64 H))) v))
(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (neg.f64 H))))
(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 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 (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) H))) v))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 (/.f64 v (.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -5/98 binary64)) v) H))
(atan.f64 (/.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v (neg.f64 v) (.f64 #s(literal -98/5 binary64) H)) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)))))))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(atan.f64 (.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))

Outputs

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

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

(atan.f64 #s(literal 1 binary64))

Calls

5 calls:

10.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
10.0ms	H
9.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
9.0ms	v
8.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
99.9%	3	`v`
72.6%	2	`H`
84.5%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
84.5%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
72.6%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.5MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.4%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.3%)

Memory

-31.1MiB live, 10.1MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
92.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
92.2%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.5%)

Memory

-6.6MiB live, 30.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	H
3.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
3.0ms	v
2.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
39.4%	1	`H`
39.4%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
52.2%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
52.2%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
70.5%	3	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))

Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.5%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))

Outputs
(atan.f64 #s(literal -1 binary64))

Calls

5 calls:

1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	H
1.0ms	(/.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
30.2%	1	`H`
30.2%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
30.2%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
30.2%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
30.2%	1	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch14.0ms (0.2%)

Memory

-7.7MiB live, 29.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
10.0ms	1.5579438646115013e+125	2.882718381852827e+129
2.0ms	-1.759332983370629e+154	-3.463160614648402e+147

Samples

9.0ms	80×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 115 to 90 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

const: 3.0ms (41.4% of total)

ival-mult: 2.0ms (27.6% of total)

ival-div: 1.0ms (13.8% of total)

ival-atan: 1.0ms (13.8% of total)

ival-sqrt: 1.0ms (13.8% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory

-20.3MiB live, 84.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.5741977941893716e-57	3.95006582808999e-56
20.0ms	-32340631058734776000.0	-3314360562772718.5

Samples

31.0ms	224×	0	valid
4.0ms	60×	0	invalid

Compiler

Compiled 326 to 248 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 12.0ms (41.6% of total)

ival-mult: 8.0ms (27.8% of total)

const: 4.0ms (13.9% of total)

ival-atan: 2.0ms (6.9% of total)

ival-sqrt: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.5741977941893716e-57	3.95006582808999e-56
1.0ms	-32340631058734776000.0	-3314360562772718.5

Compiler

Compiled 326 to 248 computations (23.9% saved)

bsearch11.0ms (0.1%)

Memory

-18.8MiB live, 18.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.5741977941893716e-57	3.95006582808999e-56
1.0ms	-32340631058734776000.0	-3314360562772718.5

Samples

4.0ms	48×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 284 to 230 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (30.7% of total)

const: 1.0ms (30.7% of total)

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

ival-atan: 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)

bsearch61.0ms (0.7%)

Memory

15.2MiB live, 127.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.9710683635899036e-110	9.66643375965159e-101
21.0ms	-2.6350791126120387e-129	-1.4307269908361143e-131

Samples

23.0ms	256×	0	valid
9.0ms	114×	0	invalid

Compiler

Compiled 274 to 224 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.3% of total)

const: 5.0ms (24.5% of total)

ival-sqrt: 3.0ms (14.7% of total)

ival-div: 2.0ms (9.8% of total)

ival-atan: 2.0ms (9.8% of total)

ival-sub: 2.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Memory

23.5MiB live, 98.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.0531837659687743e-306	2.8574174083599936e-295

Samples

14.0ms	160×	0	valid
9.0ms	117×	0	invalid

Compiler

Compiled 118 to 116 computations (1.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 7.0ms (42.2% of total)

const: 4.0ms (24.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-div: 1.0ms (6% of total)

ival-atan: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory

-12.5MiB live, 24.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	151
1	66	151

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -2896982654693241/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3384606560206073/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (atan.f64 (/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal 838071830100583/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

Outputs
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 999999999999999998217443564185241415988928868759412500436543339729940401905904649497115766142268560009777175966751665376232210432 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7067388259113537/883423532389192164791648750371459257913741948437809479060803100646309888 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4300000000000000 binary64)) (atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 4417117661945961/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -2896982654693241/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3384606560206073/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (atan.f64 (/.f64 (.f64 #s(literal -5/49 binary64) (.f64 v v)) H)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -2896982654693241/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3384606560206073/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal 838071830100583/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness1.0s (11.9%)

Memory

29.7MiB live, 976.5MiB allocated

Rules

10 806×	`lower-fma.f64`
10 806×	`lower-fma.f32`
10 140×	`lower-fma.f64`
10 140×	`lower-fma.f32`
10 028×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	3084
1	490	3074
2	1250	3058
3	3882	3054
0	8593	2892
0	681	5730
1	2013	5519
2	6502	5496
0	8100	5237
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626
0	621	7328
1	1814	7138
2	5851	7100
0	8353	6729
0	27	141
0	49	141
1	154	131
2	870	131
0	8454	131
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36

Stop Event

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

Compiler

Compiled 359 to 215 computations (40.1% saved)

preprocess88.0ms (1%)

Memory: 2.1MiB live, 170.6MiB allocated
Compiler: Compiled 336 to 142 computations (57.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Iter	Nodes	Cost
0	26	141
0	48	137
1	68	137
2	86	137
3	103	137
4	105	137
5	118	137
6	162	137
7	205	137
8	280	137
9	378	137
10	398	137
11	402	137
12	404	137
13	409	137
14	416	137
15	426	137
16	432	137
0	432	137

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Iter	Nodes	Cost
0	26	141
0	48	137
1	68	137
2	86	137
3	103	137
4	105	137
5	118	137
6	162	137
7	205	137
8	280	137
9	378	137
10	398	137
11	402	137
12	404	137
13	409	137
14	416	137
15	426	137
16	432	137
0	432	137

analyze31.0ms (0.4%)

sample1.0s (12.3%)

preprocess55.0ms (0.7%)

explain154.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize311.0ms (3.7%)

series14.0ms (0.2%)

rewrite372.0ms (4.4%)

simplify397.0ms (4.7%)

eval64.0ms (0.8%)

prune61.0ms (0.7%)

simplify199.0ms (2.3%)

localize149.0ms (1.8%)

series35.0ms (0.4%)

rewrite518.0ms (6.1%)

simplify457.0ms (5.4%)

eval293.0ms (3.4%)

prune180.0ms (2.1%)

simplify294.0ms (3.5%)

localize176.0ms (2.1%)

series35.0ms (0.4%)

rewrite340.0ms (4%)

simplify460.0ms (5.4%)

eval163.0ms (1.9%)

prune97.0ms (1.1%)

simplify24.0ms (0.3%)

localize132.0ms (1.5%)

series17.0ms (0.2%)

rewrite353.0ms (4.2%)

simplify347.0ms (4.1%)

eval186.0ms (2.2%)

prune105.0ms (1.2%)

regimes48.0ms (0.6%)

regimes5.0ms (0.1%)

regimes26.0ms (0.3%)

regimes4.0ms (0%)

regimes42.0ms (0.5%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch49.0ms (0.6%)

bsearch2.0ms (0%)

bsearch11.0ms (0.1%)

bsearch61.0ms (0.7%)

bsearch37.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.0s (11.9%)

preprocess88.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
0	19	47
1	26	47
2	36	47
3	45	47
4	61	47
5	82	47
6	126	47
7	173	47
8	229	47
9	286	47
10	375	47
11	415	47
12	504	47
13	526	47
14	534	47
0	534	43

Iter	Nodes	Cost
0	26	141
0	48	137
1	68	137
2	86	137
3	103	137
4	105	137
5	118	137
6	162	137
7	205	137
8	280	137
9	378	137
10	398	137
11	402	137
12	404	137
13	409	137
14	416	137
15	426	137
16	432	137
0	432	137