Metrics for Optimal throwing angle

analyze32.0ms (0.3%)

Memory

13.6MiB live, 56.2MiB 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)

sample1.1s (11.6%)

Memory

31.0MiB live, 1 522.4MiB allocated

Samples

815.0ms	8 256×	0	valid
8.0ms	100×	0	invalid

Precisions

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

ival-mult: 173.0ms (28% of total)

const: 139.0ms (22.5% of total)

ival-atan: 119.0ms (19.2% of total)

ival-div: 70.0ms (11.3% of total)

ival-sqrt: 63.0ms (10.2% of total)

ival-sub: 40.0ms (6.5% of total)

ival-true: 6.0ms (1% of total)

exact: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess59.0ms (0.6%)

Memory

-42.8MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Rules

224×	`accelerator-lowering-fma.f32`
224×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.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	12	11
1	19	11
2	29	11
3	38	11
4	54	11
5	75	11
6	119	11
7	163	11
8	219	11
9	276	11
10	365	11
11	405	11
12	494	11
13	516	11
14	524	11
0	524	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))

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

explain148.0ms (1.6%)

Memory

-1.8MiB live, 281.4MiB 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)))`
0	-	-	`(*.f64 v v)`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))`
0	-	-	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
0	-	-	`v`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
0	-	-	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`
0	-	-	`H`
0	-	-	`#s(literal 49/5 binary64)`
0	-	-	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`

Explanations

Click to see full explanations table

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

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	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	504×	0	valid
4.0ms	8×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

const: 11.0ms (29% of total)

ival-mult: 10.0ms (26.4% of total)

ival-atan: 5.0ms (13.2% of total)

ival-sqrt: 5.0ms (13.2% of total)

ival-div: 4.0ms (10.5% of total)

ival-sub: 2.0ms (5.3% 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

1.6MiB live, 1.6MiB 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)

simplify20.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB 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×	`accelerator-lowering-fma.f32`
224×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	19	47
2	29	47
3	38	47
4	54	47
5	75	47
6	119	47
7	163	47
8	219	47
9	276	47
10	365	47
11	405	47
12	494	47
13	516	47
14	524	47
0	524	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
v
(sqrt (- (* v v) (* (* 2 49/5) H)))
(- (* v v) (* (* 2 49/5) H))
(* v v)
(* (* 2 49/5) H)
(* 2 49/5)
2
49/5
H

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

localize45.0ms (0.5%)

Memory

-27.1MiB live, 87.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
✓	accuracy	99.8%	(/.f64 v (sqrt.f64 (-.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	69.0%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

27.0ms	252×	0	valid
2.0ms	4×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26.2% of total)

const: 4.0ms (21% of total)

ival-div: 3.0ms (15.7% of total)

ival-sqrt: 3.0ms (15.7% of total)

ival-atan: 2.0ms (10.5% of total)

ival-sub: 1.0ms (5.2% 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)

series15.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Counts

6 → 108

Calls

Call 1

Inputs
#<alt (* 2 49/5)>
#<alt (- (* v v) (* (* 2 49/5) H))>
#<alt (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))>
#<alt (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))>
#<alt (sqrt (- (* v v) (* (* 2 49/5) H)))>
#<alt (* (* 2 49/5) 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)))

rewrite406.0ms (4.3%)

Memory

8.9MiB live, 575.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 948×	`accelerator-lowering-fma.f32`
7 948×	`accelerator-lowering-fma.f64`
4 050×	`-lowering-.f32`
4 050×	`-lowering-.f64`
3 070×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	43	40
2	268	40
3	2262	40
0	8980	36

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 333

Calls

Call 1

Inputs
(* 2 49/5)
(- (* v v) (* (* 2 49/5) H))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
(sqrt (- (* v v) (* (* 2 49/5) H)))
(* (* 2 49/5) H)

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 (.f64 v v) (.f64 v (.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))))))
(+.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (neg.f64 (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))))
(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 (.f64 v v) (.f64 v (.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))
(-.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 v v (.f64 #s(literal 98/5 binary64) H)))) (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (neg.f64 (fma.f64 v v (.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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (*.f64 v v)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.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 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (*.f64 v v))))))
(-.f64 (/.f64 (.f64 v (.f64 (.f64 v 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 (.f64 (.f64 v v) 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 (.f64 (.f64 v v) H) #s(literal -98/5 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v 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 (.f64 (.f64 v v) 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 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v 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 (.f64 (.f64 v v) H) #s(literal -98/5 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (fma.f64 v (.f64 (.f64 v 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 (.f64 (.f64 v v) 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 v (.f64 (.f64 v 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 (.f64 (*.f64 v v) H) #s(literal -98/5 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (/.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 v v (*.f64 #s(literal 98/5 binary64) H))))
(-.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 v v (.f64 #s(literal 98/5 binary64) H))) (/.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 v v (*.f64 #s(literal 98/5 binary64) H))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v)))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (.f64 (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H))) (fma.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (.f64 H H)))))))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v))) (.f64 #s(literal 941192/125 binary64) (.f64 H (*.f64 H H)))))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))))) (.f64 (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)) (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 v v (.f64 #s(literal 98/5 binary64) H)) (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 v v (.f64 #s(literal 98/5 binary64) H)) (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 v v (.f64 #s(literal 98/5 binary64) H)) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 v (.f64 (.f64 v v) (.f64 v (.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))) (fma.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (.f64 v (.f64 v (.f64 v v)))))))
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(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 (.f64 v 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 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H)) (.f64 (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))))))) #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 v v (.f64 #s(literal 98/5 binary64) H)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (pow.f64 (/.f64 (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H)))))) #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 v v (.f64 #s(literal 98/5 binary64) H))))))
(.f64 (pow.f64 (pow.f64 (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H)) #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 (.f64 v 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 (.f64 #s(literal 98/5 binary64) H) (-.f64 (.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 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 v (.f64 (.f64 v 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 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H)) (.f64 (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)))))))) (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 v v (.f64 #s(literal 98/5 binary64) H)))) (-.f64 (.f64 #s(literal 98/5 binary64) (.f64 H (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)))) (.f64 v (.f64 v (*.f64 v v))))))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 v (.f64 (.f64 v 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 v v (.f64 #s(literal 98/5 binary64) H))) (.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 v v (.f64 #s(literal 98/5 binary64) H))))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H #s(literal -98/5 binary64)) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))))))
(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)))

simplify498.0ms (5.3%)

Memory

-2.6MiB live, 704.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 028×	`accelerator-lowering-fma.f32`
10 028×	`accelerator-lowering-fma.f64`
6 464×	`-lowering-.f32`
6 464×	`-lowering-.f64`
3 108×	`+-lowering-+.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 → 108

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))))))
(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))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (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))
(+ 1 (+ (* -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 (.f64 #s(literal -1/2 binary64) (.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.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 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))))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/50 binary64) (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))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal -25/19208 binary64)) (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)))))
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(+ (* -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))))))
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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)))) (* (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))))
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(* 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))

eval69.0ms (0.7%)

Memory: 39.2MiB live, 182.9MiB allocated
Compiler: Compiled 18 779 to 2 001 computations (89.3% saved)

prune83.0ms (0.9%)

Memory

-24.6MiB live, 199.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	425	16	441
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	426	16	442

Accuracy

100.0%

Counts

442 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	34.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
	35.6%	(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)))
	63.7%	(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)))))
	67.1%	(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)))
	38.0%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
	67.2%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
▶	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	42.3%	(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 #s(literal 98/5 binary64) H))))))
▶	42.5%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
▶	44.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	66.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
	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))
	29.7%	(atan.f64 #s(literal 1 binary64))
▶	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 472 to 310 computations (34.3% saved)

simplify303.0ms (3.2%)

Memory

-22.0MiB live, 327.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
✓	cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 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

2 700×	`accelerator-lowering-fma.f32`
2 700×	`accelerator-lowering-fma.f64`
2 470×	`-lowering-.f32`
2 470×	`-lowering-.f64`
1 440×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	249
1	57	237
2	97	237
3	161	237
4	333	237
5	628	237
6	1375	237
7	2303	237
8	2984	237
9	3318	237
10	3462	237
11	3498	237
12	3517	237
13	3554	237
14	3656	237
15	3728	237
16	3838	237
17	4166	237
18	4581	237
19	5142	237
20	5325	237
21	5339	237
22	5533	237
23	5775	237
24	6505	237
25	7359	237
26	7772	237
0	8039	220

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
v
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* H -98/5)
H
-98/5
(atan -1)
-1
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
v
(sqrt (* -98/5 H))
(* -98/5 H)
-98/5
H
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
1
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
v
(* H -98/5)
H
-98/5
(atan (/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))))
(/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))))
v
(sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))
(/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))
(- (* H (* H 9604/25)) (* v (* v (* v v))))
(* H (* H 9604/25))
H
(* H 9604/25)
9604/25
(* v (* v (* v v)))
(* v (* v v))
(* v v)
(- (* H -98/5) (* v v))
(* H -98/5)
-98/5

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

localize235.0ms (2.5%)

Memory

-13.1MiB live, 278.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 H #s(literal 9604/25 binary64))
✓	accuracy	93.4%	(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
✓	accuracy	81.7%	(sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	accuracy	59.7%	(/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
✓	accuracy	81.7%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	99.9%	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.7%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.5%	(*.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	99.8%	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	81.7%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))

Samples

113.0ms	185×	0	valid
56.0ms	3×	5	exit
17.0ms	68×	0	invalid

Compiler

Compiled 260 to 32 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-atan: 74.0ms (44.4% of total)

ival-add: 54.0ms (32.4% of total)

ival-mult: 11.0ms (6.6% of total)

ival-div: 10.0ms (6% of total)

const: 8.0ms (4.8% of total)

ival-sqrt: 5.0ms (3% of total)

ival-sub: 2.0ms (1.2% of total)

adjust: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (atan (/ v (sqrt (+ (* v v) (* H -98/5)))))>
#<alt (/ v (sqrt (+ (* v v) (* H -98/5))))>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan -1)>
#<alt (atan (/ v (sqrt (* -98/5 H))))>
#<alt (/ v (sqrt (* -98/5 H)))>
#<alt (sqrt (* -98/5 H))>
#<alt (* -98/5 H)>
#<alt (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))>
#<alt (atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))>
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)>
#<alt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))>
#<alt (atan (/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))))>
#<alt (/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))))>
#<alt (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))>
#<alt (* H -98/5)>
#<alt (- (* H (* H 9604/25)) (* v (* v (* v v))))>
#<alt (* H 9604/25)>

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)>
#<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 (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 H) (/ (sqrt -98/5) v))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)>
#<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))))))) v)>
#<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))))))))) v)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt (+ 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>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))>
#<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 (* -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 (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* (/ v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* (/ v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* (/ v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* (/ v (sqrt -1)) (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<alt (atan (* v (sqrt (/ (- (* -98/5 H) (pow v 2)) (- (* 9604/25 (pow H 2)) (pow v 4))))))>
#<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)) (sqrt -1)))>
#<alt (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (* (sqrt -1) (sqrt 5/98))))) (* (sqrt (/ 1 H)) (/ (* v (sqrt 5/98)) (sqrt -1))))>
#<alt (+ (* 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 5/98)) (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* -625/92236816 (pow v 6)) (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))))) (* (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 5/98)) (sqrt -1))))))>
#<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 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 -1) (sqrt 98/5)))>
#<alt (* 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 (* 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 -1) (sqrt 98/5))))))>
#<alt (* 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 -1) (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 (* (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 (* -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

96 calls:

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

rewrite556.0ms (5.9%)

Memory

0.2MiB live, 961.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 628×	`accelerator-lowering-fma.f32`
7 628×	`accelerator-lowering-fma.f64`
4 968×	`-lowering-.f32`
4 968×	`-lowering-.f64`
4 596×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	142
1	138	140
2	980	140
0	8646	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 508

Calls

Call 1

Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(atan -1)
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
(sqrt (* -98/5 H))
(* -98/5 H)
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))
(atan (/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))))
(/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))))
(sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))
(* H -98/5)
(- (* H (* H 9604/25)) (* v (* v (* v v))))
(* H 9604/25)

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)))
(-.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))))))
(neg.f64 (/.f64 (neg.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)))))
(/.f64 (/.f64 v (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 (neg.f64 v) (neg.f64 (sqrt.f64 (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))))) (/.f64 #s(literal 1 binary64) v))
(/.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 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (.f64 (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
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(.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(.f64 (fma.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64)) (.f64 (neg.f64 (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 (.f64 v v) (.f64 v v) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (.f64 (.f64 H H) (.f64 (.f64 H H) #s(literal 92236816/625 binary64))))))
(.f64 (fma.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64)) (.f64 (neg.f64 (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64) (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v (neg.f64 v))))))))
(.f64 (-.f64 (.f64 (.f64 H H) (.f64 (.f64 H H) #s(literal 92236816/625 binary64))) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v v) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal 885842380864/15625 binary64)) (.f64 (neg.f64 (.f64 v (.f64 v v))) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 (.f64 v v) (.f64 v v) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (.f64 (.f64 H H) (.f64 (.f64 H H) #s(literal 92236816/625 binary64)))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 H H) (.f64 (.f64 H H) #s(literal 92236816/625 binary64))) (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v v) (.f64 v v) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(*.f64 H #s(literal 9604/25 binary64))
(*.f64 #s(literal 9604/25 binary64) H)

simplify563.0ms (6%)

Memory

7.3MiB live, 827.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 654×	`accelerator-lowering-fma.f32`
15 654×	`accelerator-lowering-fma.f64`
7 394×	`-lowering-.f32`
7 394×	`-lowering-.f64`
4 636×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	6450
1	1324	6306
2	4433	6250
0	8861	5930

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

eval458.0ms (4.9%)

Memory: 33.5MiB live, 712.4MiB allocated
Compiler: Compiled 128 076 to 6 542 computations (94.9% saved)

prune258.0ms (2.7%)

Memory

-26.1MiB live, 741.2MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	2 511	8	2 519
Fresh	3	8	11
Picked	2	3	5
Done	0	0	0
Total	2 516	19	2 535

Accuracy

100.0%

Counts

2 535 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	34.4%	(atan.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
	63.7%	(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)))))
▶	67.1%	(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)))
	38.0%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
	67.2%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	27.8%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))))
✓	44.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	38.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))
	66.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
	41.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))) v)))
	43.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
▶	26.1%	(atan.f64 (.f64 (/.f64 v (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64))))))
▶	44.8%	(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))
	42.5%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -98/5 binary64) H (.f64 v (neg.f64 v))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (*.f64 v v)))))))
▶	29.7%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 573 to 373 computations (34.9% saved)

simplify141.0ms (1.5%)

Memory

-1.8MiB live, 169.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

1 024×	`accelerator-lowering-fma.f32`
1 024×	`accelerator-lowering-fma.f64`
824×	`-lowering-.f32`
824×	`-lowering-.f64`
486×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	298
1	61	290
2	92	275
3	177	265
4	227	265
5	311	265
6	454	265
7	618	265
8	792	265
9	993	265
10	1373	265
11	2172	265
12	2874	265
13	2911	265
14	2954	265
15	2983	265
16	2990	265
17	2990	265
18	2990	265
0	2990	255

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v))
(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)
(sqrt (/ 1 (+ (* v v) (* H -98/5))))
(/ 1 (+ (* v v) (* H -98/5)))
1
(+ (* v v) (* H -98/5))
v
(* H -98/5)
H
-98/5
(atan 1)
1
(atan (* (/ 1 (sqrt (* H -98/5))) v))
(* (/ 1 (sqrt (* H -98/5))) v)
(/ 1 (sqrt (* H -98/5)))
1
(sqrt (* H -98/5))
(* H -98/5)
H
-98/5
v
(atan (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)))
(/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v))
(sqrt (/ 1 (+ (* v v) (* H -98/5))))
(/ 1 (+ (* v v) (* H -98/5)))
1
(+ (* v v) (* H -98/5))
v
(* H -98/5)
H
-98/5
(/ 1 v)
(atan (* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5)))))
(* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5))))
(/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))
v
(sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))
(+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))
(* v v)
(* v (neg v))
(neg v)
(* H (* H 9604/25))
H
(* H 9604/25)
9604/25
(sqrt (+ (* v (neg v)) (* H -98/5)))
(+ (* v (neg v)) (* H -98/5))
(* H -98/5)
-98/5

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

localize147.0ms (1.6%)

Memory

49.1MiB live, 389.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f64 H #s(literal 9604/25 binary64))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	95.8%	(.f64 (/.f64 v (sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (sqrt.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	82.3%	(sqrt.f64 (fma.f64 (.f64 v v) (.f64 v (neg.f64 v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 (/.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 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.9%	(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 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(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	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))

Samples

47.0ms	156×	0	invalid
25.0ms	99×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 14.0ms (27.2% of total)

ival-div: 9.0ms (17.5% of total)

ival-atan: 9.0ms (17.5% of total)

const: 8.0ms (15.5% of total)

ival-sqrt: 6.0ms (11.6% of total)

ival-add: 3.0ms (5.8% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory

-31.3MiB live, 77.4MiB allocated

Counts

17 → 336

Calls

Call 1

Inputs
#<alt (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v))>
#<alt (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)>
#<alt (sqrt (/ 1 (+ (* v v) (* H -98/5))))>
#<alt (/ 1 (+ (* v v) (* H -98/5)))>
#<alt (atan 1)>
#<alt (* (/ 1 (sqrt (* H -98/5))) v)>
#<alt (atan (* (/ 1 (sqrt (* H -98/5))) v))>
#<alt (/ 1 (sqrt (* H -98/5)))>
#<alt (sqrt (* H -98/5))>
#<alt (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v))>
#<alt (atan (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)))>
#<alt (atan (* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5)))))>
#<alt (* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5))))>
#<alt (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))>
#<alt (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))>
#<alt (* H -98/5)>
#<alt (* H 9604/25)>

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 (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (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 (+ (* (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 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<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)))))) v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -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))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (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)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 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))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -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)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
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#<alt (* -1 (/ (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)) H))>
#<alt (* -1 (/ (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v))) H))>
#<alt (* -1 (/ (+ (* -49/5 (/ (* v (+ (* -25/19208 (* (pow v 4) (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8))))) (* -390625/8507630225817856 (pow v 12)))) (pow H 6))) (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)))) H))>
#<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 (* (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 (* -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 (* 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

84 calls:

Time	Variable		Point	Expression
15.0ms	H	@	-inf	(sqrt (/ 1 (+ (* v v) (* H -98/5))))
6.0ms	H	@	-inf	(/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))
2.0ms	v	@	inf	(sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))
1.0ms	H	@	0	(/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))
1.0ms	v	@	inf	(/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))

rewrite311.0ms (3.3%)

Memory

11.4MiB live, 522.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 292×	`accelerator-lowering-fma.f32`
5 292×	`accelerator-lowering-fma.f64`
4 074×	`-lowering-.f32`
4 074×	`-lowering-.f64`
2 170×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	161
1	140	135
2	938	127
0	9595	117

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 784

Calls

Call 1

Inputs
(atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v))
(* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)
(sqrt (/ 1 (+ (* v v) (* H -98/5))))
(/ 1 (+ (* v v) (* H -98/5)))
(atan 1)
(* (/ 1 (sqrt (* H -98/5))) v)
(atan (* (/ 1 (sqrt (* H -98/5))) v))
(/ 1 (sqrt (* H -98/5)))
(sqrt (* H -98/5))
(/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v))
(atan (/ (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ 1 v)))
(atan (* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5)))))
(* (/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))) (sqrt (+ (* v (neg v)) (* H -98/5))))
(/ v (sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25)))))
(sqrt (+ (* (* v v) (* v (neg v))) (* H (* H 9604/25))))
(* H -98/5)
(* H 9604/25)

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

simplify389.0ms (4.1%)

Memory

-4.1MiB live, 667.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 540×	`accelerator-lowering-fma.f32`
9 540×	`accelerator-lowering-fma.f64`
7 124×	`-lowering-.f32`
7 124×	`-lowering-.f64`
4 006×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	6436
1	1745	6189
2	5531	6182
0	8340	5869

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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))
(+ (* -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 -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 (/ 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)))
(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))))
(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))))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (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))))
(* (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))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(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) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (* -1 (pow v 2)) (* 98/5 H)) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (* -1 (pow v 2)) (* 98/5 H)) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (* -1 (pow v 2)) (* 98/5 H)) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (* -1 (pow v 2)) (* 98/5 H)) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* -98/5 H) (* -1 (pow v 2))) (+ (* -1 (pow v 4)) (* 9604/25 (pow H 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))))))
(* 5/98 (/ v H))
(* v (+ (* 125/1882384 (/ (pow v 4) (pow H 3))) (* 5/98 (/ 1 H))))
(* v (+ (* (pow v 4) (+ (* 9375/72313663744 (/ (pow v 4) (pow H 5))) (* 125/1882384 (/ 1 (pow H 3))))) (* 5/98 (/ 1 H))))
(* v (+ (* (pow v 4) (+ (* (pow v 4) (+ (* 390625/1389000853194752 (/ (pow v 4) (pow H 7))) (* 9375/72313663744 (/ 1 (pow H 5))))) (* 125/1882384 (/ 1 (pow H 3))))) (* 5/98 (/ 1 H))))
(/ (sqrt -1) v)
(/ (+ (sqrt -1) (* -4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))) v)
(/ (+ (sqrt -1) (+ (* -4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (* -1/2 (/ (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4))) (* (pow v 8) (sqrt -1)))))) v)
(/ (+ (sqrt -1) (+ (* -4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 4802/25 (/ (* (pow H 2) (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4)))) (pow (sqrt -1) 2))) (* 885842380864/15625 (pow H 6))) (* (pow v 12) (sqrt -1)))) (* -1/2 (/ (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4))) (* (pow v 8) (sqrt -1))))))) v)
(/ (sqrt -1) v)
(* -1 (/ (+ (* -1 (sqrt -1)) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))) v))
(* -1 (/ (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4))) (* (pow v 8) (sqrt -1)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1)))))) v))
(* -1 (/ (+ (* -1 (sqrt -1)) (+ (* 1/2 (/ (+ (* 4802/25 (/ (* (pow H 2) (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4)))) (pow (sqrt -1) 2))) (* 885842380864/15625 (pow H 6))) (* (pow v 12) (sqrt -1)))) (+ (* 1/2 (/ (+ (* 23059204/625 (/ (pow H 4) (pow (sqrt -1) 2))) (* 92236816/625 (pow H 4))) (* (pow v 8) (sqrt -1)))) (* 4802/25 (/ (pow H 2) (* (pow v 4) (sqrt -1))))))) v))
(/ (sqrt -1) v)
(+ (* -4802/25 (/ (pow H 2) (* (pow v 5) (sqrt -1)))) (/ (sqrt -1) v))
(+ (* (pow H 2) (- (* -1/2 (/ (* (pow H 2) (* (pow v 3) (+ (* 23059204/625 (/ 1 (* (pow v 12) (pow (sqrt -1) 2)))) (* 92236816/625 (/ 1 (pow v 12)))))) (sqrt -1))) (* 4802/25 (/ 1 (* (pow v 5) (sqrt -1)))))) (/ (sqrt -1) v))
(+ (* (pow H 2) (- (* (pow H 2) (+ (* -1/2 (/ (* (pow H 2) (* (pow v 3) (+ (* 4802/25 (/ (+ (* 23059204/625 (/ 1 (* (pow v 12) (pow (sqrt -1) 2)))) (* 92236816/625 (/ 1 (pow v 12)))) (* (pow v 4) (pow (sqrt -1) 2)))) (* 885842380864/15625 (/ 1 (pow v 16)))))) (sqrt -1))) (* -1/2 (/ (* (pow v 3) (+ (* 23059204/625 (/ 1 (* (pow v 12) (pow (sqrt -1) 2)))) (* 92236816/625 (/ 1 (pow v 12))))) (sqrt -1))))) (* 4802/25 (/ 1 (* (pow v 5) (sqrt -1)))))) (/ (sqrt -1) v))
(* 5/98 (/ v H))
(/ (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)) H)
(/ (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v))) H)
(/ (+ (* -49/5 (/ (* v (+ (* -25/19208 (* (pow v 4) (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8))))) (* -390625/8507630225817856 (pow v 12)))) (pow H 6))) (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)))) H)
(* -5/98 (/ v H))
(* -1 (/ (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)) H))
(* -1 (/ (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v))) H))
(* -1 (/ (+ (* -49/5 (/ (* v (+ (* -25/19208 (* (pow v 4) (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8))))) (* -390625/8507630225817856 (pow v 12)))) (pow H 6))) (+ (* -49/5 (/ (* v (+ (* -15625/885842380864 (pow v 8)) (* 15625/3543369523456 (pow v 8)))) (pow H 4))) (+ (* 125/1882384 (/ (pow v 5) (pow H 2))) (* 5/98 v)))) H))
(* 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))))))))
(* (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)
(* -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)
(* 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))))))
(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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))))
(* 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))))))))
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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 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (* -125/7529536 (/ (pow v 8) (pow H 4)))))))
(.f64 H (neg.f64 (fma.f64 #s(literal -125/7529536 binary64) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))) (.f64 (.f64 H H) (.f64 H H))) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (*.f64 H H)) #s(literal -5/196 binary64) #s(literal 98/5 binary64)))))
(* -1 (* H (+ 98/5 (+ (* -5/196 (/ (pow v 4) (pow H 2))) (+ (* -125/7529536 (/ (pow v 8) (pow H 4))) (* -3125/144627327488 (/ (pow v 12) (pow H 6))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) #s(literal -5/196 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 (.f64 v v) (.f64 v v))) #s(literal -125/7529536 binary64)) (.f64 (.f64 H H) (.f64 H H)))) (fma.f64 #s(literal -3125/144627327488 binary64) (/.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 H #s(literal 6 binary64))) #s(literal 98/5 binary64))) (neg.f64 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)
(* 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))

eval172.0ms (1.8%)

Memory: 7.6MiB live, 279.0MiB allocated
Compiler: Compiled 36 189 to 3 231 computations (91.1% saved)

prune202.0ms (2.1%)

Memory

-13.0MiB live, 265.8MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 362	5	1 367
Fresh	8	3	11
Picked	3	2	5
Done	0	3	3
Total	1 373	13	1 386

Accuracy

100.0%

Counts

1 386 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
▶	30.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
▶	63.7%	(atan.f64 (/.f64 (.f64 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)))))
	44.8%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
	38.0%	(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))))))
✓	44.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	38.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))
▶	34.7%	(atan.f64 (.f64 (/.f64 v (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
✓	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
▶	44.8%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	29.7%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 247 to 169 computations (31.6% saved)

simplify208.0ms (2.2%)

Memory

-37.9MiB live, 159.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 712×	`accelerator-lowering-fma.f32`
1 712×	`accelerator-lowering-fma.f64`
1 408×	`-lowering-.f32`
1 408×	`-lowering-.f64`
636×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	230
1	67	226
2	115	226
3	151	226
4	177	226
5	205	226
6	289	226
7	419	226
8	811	226
9	1943	226
10	2894	226
11	3264	226
12	3602	226
13	3756	226
14	3807	226
15	3824	226
16	3892	226
17	4089	226
18	4121	226
19	4121	226
20	4121	226
21	4121	226
0	4121	214

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan (/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5))))
(/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5)))
(* v (sqrt (+ (* v v) (* H -98/5))))
v
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* H -98/5)
H
-98/5
(atan (+ (* H (/ 49/5 (* v v))) 1))
(+ (* H (/ 49/5 (* v v))) 1)
H
(/ 49/5 (* v v))
49/5
(* v v)
v
1
(atan (* (sqrt (/ -5/98 H)) v))
(* (sqrt (/ -5/98 H)) v)
(sqrt (/ -5/98 H))
(/ -5/98 H)
-5/98
H
v
(atan (/ 1 (+ (* (/ H (* v v)) -49/5) 1)))
(/ 1 (+ (* (/ H (* v v)) -49/5) 1))
1
(+ (* (/ H (* v v)) -49/5) 1)
(/ H (* v v))
H
(* v v)
v
-49/5
(atan (* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5)))))
(* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5))))
(/ v (* -98/5 H))
v
(* -98/5 H)
-98/5
H
(sqrt (+ (* v (neg v)) (* H -98/5)))
(+ (* v (neg v)) (* H -98/5))
(neg v)
(* H -98/5)

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

localize131.0ms (1.4%)

Memory

27.6MiB live, 301.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 v (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	95.8%	(.f64 (/.f64 v (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	100.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))
✓	accuracy	99.9%	(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (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 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.9%	(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
✓	accuracy	99.9%	(/.f64 #s(literal -5/98 binary64) H)
✓	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	99.9%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	96.7%	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	accuracy	99.9%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.8%	(.f64 v (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.7%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	97.3%	(/.f64 (.f64 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))))

Samples

52.0ms	156×	0	invalid
29.0ms	99×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 216 to 37 computations (82.9% saved)

Precisions

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

ival-mult: 17.0ms (26.7% of total)

const: 13.0ms (20.4% of total)

ival-div: 13.0ms (20.4% of total)

ival-atan: 10.0ms (15.7% of total)

ival-sqrt: 5.0ms (7.8% of total)

ival-add: 5.0ms (7.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

-19.8MiB live, 56.6MiB allocated

Counts

21 → 432

Calls

Call 1

Inputs
#<alt (atan (/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5))))>
#<alt (/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5)))>
#<alt (* v (sqrt (+ (* v v) (* H -98/5))))>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (atan (+ (* H (/ 49/5 (* v v))) 1))>
#<alt (+ (* H (/ 49/5 (* v v))) 1)>
#<alt (/ 49/5 (* v v))>
#<alt (* v v)>
#<alt (atan (* (sqrt (/ -5/98 H)) v))>
#<alt (* (sqrt (/ -5/98 H)) v)>
#<alt (sqrt (/ -5/98 H))>
#<alt (/ -5/98 H)>
#<alt (atan (/ 1 (+ (* (/ H (* v v)) -49/5) 1)))>
#<alt (/ 1 (+ (* (/ H (* v v)) -49/5) 1))>
#<alt (+ (* (/ H (* v v)) -49/5) 1)>
#<alt (/ H (* v v))>
#<alt (atan (* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5)))))>
#<alt (* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5))))>
#<alt (/ v (* -98/5 H))>
#<alt (* -98/5 H)>
#<alt (* H -98/5)>

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)>
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#<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 (/ 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 (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (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 H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -1 (pow v 2)) (* 98/5 H))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -1 (pow v 2)) (* 98/5 H))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -1 (pow v 2)) (* 98/5 H))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (- (* -1 (pow v 2)) (* 98/5 H))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (* -1 (pow v 2)))))))>
#<alt (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))>
#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5))))))>
#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5))))))))>
#<alt (* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 3))))))))))>
#<alt (* -5/98 (/ (* (pow v 2) (sqrt -1)) H))>
#<alt (* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (* 1/2 (/ 1 (* (pow v 2) (sqrt -1))))))>
#<alt (* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (+ (* 49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow v 2) (sqrt -1))))))>
#<alt (* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (+ (* 49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 2401/100 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 5)))) (/ 1/2 (* (pow v 2) (sqrt -1)))))))>
#<alt (* 5/98 (/ (* (pow v 2) (sqrt -1)) H))>
#<alt (* (pow v 2) (- (* 5/98 (/ (sqrt -1) H)) (* 1/2 (/ 1 (* (pow v 2) (sqrt -1))))))>
#<alt (* (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)))))>
#<alt (* (pow v 2) (- (+ (* -2401/100 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* -49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (* 5/98 (/ (sqrt -1) H)))) (/ 1/2 (* (pow v 2) (sqrt -1)))))>
#<alt (* -5/98 (/ (* (pow v 2) (sqrt -1)) H))>
#<alt (/ (+ (* -5/98 (* (pow v 2) (sqrt -1))) (* 1/2 (/ H (sqrt -1)))) H)>
#<alt (/ (+ (* -5/98 (* (pow v 2) (sqrt -1))) (* H (+ (* 49/20 (/ H (* (pow v 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))))) H)>
#<alt (/ (+ (* -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)>
#<alt (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))>
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))>
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5))))))>
#<alt (+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (+ (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))))>
#<alt (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))>
#<alt (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))>
#<alt (+ (* -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)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (+ (* -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)))) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v H))>
#<alt (* -5/98 (/ v 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)>
#<alt (* -98/5 H)>

Calls

108 calls:

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

rewrite329.0ms (3.5%)

Memory

15.7MiB live, 602.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 002×	`accelerator-lowering-fma.f32`
8 002×	`accelerator-lowering-fma.f64`
4 914×	`-lowering-.f32`
4 914×	`-lowering-.f64`
2 592×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	181
1	164	179
2	1093	165
0	8900	156

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 669

Calls

Call 1

Inputs
(atan (/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5))))
(/ (* v (sqrt (+ (* v v) (* H -98/5)))) (+ (* v v) (* H -98/5)))
(* v (sqrt (+ (* v v) (* H -98/5))))
(sqrt (+ (* v v) (* H -98/5)))
(atan (+ (* H (/ 49/5 (* v v))) 1))
(+ (* H (/ 49/5 (* v v))) 1)
(/ 49/5 (* v v))
(* v v)
(atan (* (sqrt (/ -5/98 H)) v))
(* (sqrt (/ -5/98 H)) v)
(sqrt (/ -5/98 H))
(/ -5/98 H)
(atan (/ 1 (+ (* (/ H (* v v)) -49/5) 1)))
(/ 1 (+ (* (/ H (* v v)) -49/5) 1))
(+ (* (/ H (* v v)) -49/5) 1)
(/ H (* v v))
(atan (* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5)))))
(* (/ v (* -98/5 H)) (sqrt (+ (* v (neg v)) (* H -98/5))))
(/ v (* -98/5 H))
(* -98/5 H)
(* H -98/5)

Outputs
(atan.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
(neg.f64 (atan.f64 (neg.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(+.f64 (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))))) (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))))))
(+.f64 (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 v v)) (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 H #s(literal 98/5 binary64))))
(+.f64 (.f64 (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))))
(+.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))) (.f64 (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))))
(+.f64 (.f64 (.f64 v v) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64)))) (neg.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(fma.f64 (.f64 v v) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 (.f64 H #s(literal 98/5 binary64)) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal -9604/25 binary64))))))
(fma.f64 (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))))
(fma.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) (.f64 (.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))))
(fma.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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)))))
(fma.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (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 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))))))
(fma.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (.f64 v v) (.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (*.f64 H #s(literal 98/5 binary64))))
(neg.f64 (neg.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))))
(/.f64 v (/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))))
(/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v (neg.f64 v) (.f64 H #s(literal 98/5 binary64))) (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
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(.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (/.f64 v (*.f64 H #s(literal -98/5 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))))
(.f64 (/.f64 #s(literal 1 binary64) H) (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v #s(literal -5/98 binary64))))
(.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))) (/.f64 #s(literal -5/98 binary64) H))
(.f64 (.f64 v #s(literal -5/98 binary64)) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))) H))
(.f64 (.f64 v #s(literal -5/98 binary64)) (.f64 (/.f64 #s(literal 1 binary64) H) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))))
(.f64 (.f64 v #s(literal 5/98 binary64)) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))) (neg.f64 H)))
(.f64 (neg.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))))) (/.f64 #s(literal 5/98 binary64) H))
(.f64 (/.f64 v H) (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))) #s(literal -5/98 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v)))) #s(literal -5/98 binary64)) (/.f64 v H))
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) H) (*.f64 v #s(literal -5/98 binary64)))
(.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (/.f64 v (*.f64 H #s(literal -98/5 binary64)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v #s(literal -5/98 binary64))) (/.f64 #s(literal 1 binary64) H))
(.f64 (.f64 (.f64 v #s(literal -5/98 binary64)) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) (/.f64 #s(literal 1 binary64) H))
(.f64 (/.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))))) H) #s(literal -5/98 binary64))
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (*.f64 H #s(literal -98/5 binary64))) v)
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) H) (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (/.f64 #s(literal -98/5 binary64) v)))
(.f64 (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) #s(literal -98/5 binary64)) (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (/.f64 H v)))
(.f64 (/.f64 (neg.f64 v) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (*.f64 H #s(literal -98/5 binary64))))
(.f64 (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (.f64 H #s(literal -98/5 binary64))) (/.f64 (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) #s(literal -1 binary64)) (/.f64 v (*.f64 H #s(literal 98/5 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (neg.f64 H)) (*.f64 v #s(literal 5/98 binary64)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) #s(literal 98/5 binary64)) (/.f64 (neg.f64 v) H))
(.f64 (/.f64 (neg.f64 v) H) (/.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) #s(literal 98/5 binary64)))
(.f64 (.f64 (/.f64 v (.f64 H #s(literal -98/5 binary64))) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v (neg.f64 v))) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) #s(literal -1 binary64)) (/.f64 v (.f64 H #s(literal 98/5 binary64))))
(.f64 (.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) #s(literal 1 binary64)) (/.f64 #s(literal -5/98 binary64) H))
(.f64 (.f64 (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v))))) #s(literal 5/98 binary64)) (/.f64 #s(literal -1 binary64) H))
(+.f64 #s(literal 0 binary64) (/.f64 v (*.f64 H #s(literal -98/5 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 v (*.f64 H #s(literal 98/5 binary64))))
(neg.f64 (/.f64 v (*.f64 H #s(literal 98/5 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 5/98 binary64) H) v))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 v (.f64 H #s(literal 98/5 binary64)))))
(neg.f64 (/.f64 (*.f64 v #s(literal -5/98 binary64)) (neg.f64 H)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal -98/5 binary64)) v)))
(neg.f64 (/.f64 (*.f64 v #s(literal 5/98 binary64)) H))
(/.f64 v (*.f64 H #s(literal -98/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -98/5 binary64)) v))
(/.f64 (neg.f64 v) (*.f64 H #s(literal 98/5 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal 98/5 binary64)) v))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(/.f64 (*.f64 v #s(literal 5/98 binary64)) (neg.f64 H))
(/.f64 (/.f64 v H) #s(literal -98/5 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 H #s(literal 98/5 binary64))) (.f64 (.f64 H #s(literal 98/5 binary64)) v)) (.f64 (.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (neg.f64 (/.f64 v H)) #s(literal 98/5 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) (/.f64 v (.f64 H #s(literal 98/5 binary64))) (.f64 #s(literal 0 binary64) (/.f64 v (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 v (.f64 H #s(literal 98/5 binary64))) (/.f64 v (.f64 H #s(literal 98/5 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 v (.f64 H #s(literal 98/5 binary64)))))
(pow.f64 (/.f64 (*.f64 H #s(literal -98/5 binary64)) v) #s(literal -1 binary64))
(*.f64 v (/.f64 #s(literal -5/98 binary64) H))
(.f64 #s(literal 1 binary64) (/.f64 v (.f64 H #s(literal -98/5 binary64))))
(*.f64 #s(literal -5/98 binary64) (/.f64 v H))
(*.f64 #s(literal -5/98 binary64) (pow.f64 (/.f64 H v) #s(literal -1 binary64)))
(.f64 #s(literal -5/98 binary64) (.f64 (/.f64 #s(literal 1 binary64) H) v))
(*.f64 (/.f64 #s(literal -5/98 binary64) H) v)
(*.f64 (/.f64 #s(literal -5/98 binary64) H) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 (neg.f64 v) (/.f64 #s(literal 5/98 binary64) H))
(.f64 #s(literal -1 binary64) (/.f64 v (.f64 H #s(literal 98/5 binary64))))
(*.f64 #s(literal 5/98 binary64) (/.f64 v (neg.f64 H)))
(.f64 #s(literal 5/98 binary64) (.f64 (/.f64 #s(literal -1 binary64) H) v))
(.f64 (/.f64 #s(literal 1 binary64) H) (.f64 v #s(literal -5/98 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) H) (.f64 #s(literal -5/98 binary64) v))
(.f64 (.f64 v #s(literal -5/98 binary64)) (/.f64 #s(literal 1 binary64) H))
(.f64 (.f64 v #s(literal 5/98 binary64)) (/.f64 #s(literal -1 binary64) H))
(*.f64 (/.f64 v H) #s(literal -5/98 binary64))
(.f64 (/.f64 #s(literal -1 binary64) H) (.f64 v #s(literal 5/98 binary64)))
(*.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 #s(literal 5/98 binary64) H))
(*.f64 (/.f64 v (neg.f64 H)) #s(literal 5/98 binary64))
(.f64 (pow.f64 (/.f64 (.f64 H #s(literal -98/5 binary64)) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 H #s(literal -98/5 binary64)) v) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 v)) (/.f64 #s(literal 5/98 binary64) H))
(.f64 (.f64 (*.f64 v #s(literal -5/98 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) H))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 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 #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 H #s(literal -5/98 binary64))
(/.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 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 #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))

simplify474.0ms (5%)

Memory

54.2MiB live, 917.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 464×	`accelerator-lowering-fma.f32`
13 464×	`accelerator-lowering-fma.f64`
7 784×	`-lowering-.f32`
7 784×	`-lowering-.f64`
3 640×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	5766
1	1887	5702
2	6216	5649
0	8656	5359

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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) (* v (sqrt -98/5)))
(* v (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))
(* v (+ (* (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))))))))
(* v (+ (* (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))))))))))
(pow v 2)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* (pow v 2) (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (pow v 2))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1))
(* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1))
(pow v 2)
(+ (* -49/5 H) (pow v 2))
(+ (* H (- (* -2401/50 (/ H (pow v 2))) 49/5)) (pow v 2))
(+ (* H (- (* H (- (* -117649/250 (/ H (pow v 4))) (* 2401/50 (/ 1 (pow v 2))))) 49/5)) (pow v 2))
(* (sqrt H) (* v (sqrt -98/5)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))))
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(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v 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)
(* -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 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(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 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v 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))))
(* 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 v v) (.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 #s(literal -1/2 binary64) (sqrt.f64 H))))) (*.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 v (.f64 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) (pow.f64 H #s(literal 4 binary64)))) (/.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 (.f64 H (.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 #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 (.f64 H (.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)
(+ 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 v (/.f64 (.f64 #s(literal 625/368947264 binary64) (.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 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 #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 (.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)))) (+ (* -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 -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 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 (.f64 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))))))
(+ (* -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))))))
(fma.f64 (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (fma.f64 (.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (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 H (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 5/98 binary64)) #s(literal -625/368947264 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)))) (neg.f64 (.f64 H (*.f64 H H))))))
(* (sqrt H) (* v (sqrt -98/5)))
(.f64 (sqrt.f64 H) (.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* v (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))))
(.f64 v (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)))))
(* v (+ (* (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))))))))
(.f64 v (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)))))
(* v (+ (* (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))))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 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)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(.f64 (.f64 v v) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 v (fma.f64 v (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (*.f64 v v))))) v))
(* -1 (pow v 2))
(neg.f64 (*.f64 v v))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1))
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(* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1))
(.f64 (.f64 v v) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/250 binary64) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (*.f64 v v))) #s(literal 2401/50 binary64) #s(literal -1 binary64)))))
(pow v 2)
(*.f64 v v)
(+ (* -49/5 H) (pow v 2))
(fma.f64 v v (*.f64 H #s(literal -49/5 binary64)))
(+ (* H (- (* -2401/50 (/ H (pow v 2))) 49/5)) (pow v 2))
(fma.f64 H (fma.f64 (/.f64 H (.f64 v v)) #s(literal -2401/50 binary64) #s(literal -49/5 binary64)) (.f64 v v))
(+ (* H (- (* H (- (* -117649/250 (/ H (pow v 4))) (* 2401/50 (/ 1 (pow v 2))))) 49/5)) (pow v 2))
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (.f64 v v))) #s(literal -49/5 binary64)) (*.f64 v v))
(* (sqrt H) (* v (sqrt -98/5)))
(.f64 (sqrt.f64 H) (.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))))
(.f64 H (fma.f64 (sqrt.f64 #s(literal -98/5 binary64)) (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 5/784 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 -98/5 binary64)))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -98/5 binary64)) (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 5/784 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 -98/5 binary64))))))))
(* -1 (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))))
(.f64 (sqrt.f64 H) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (neg.f64 v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (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 (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (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 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal -5/784 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (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 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) (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 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 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 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (/.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 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(.f64 v (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.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 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal 1 binary64)))) (neg.f64 v))
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 #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))
(*.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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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 #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))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.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))))) (sqrt.f64 #s(literal -98/5 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 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)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
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(* -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))))))))
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(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
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(.f64 (.f64 v v) (fma.f64 #s(literal -5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))))
(* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (+ (* 49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow v 2) (sqrt -1))))))
(.f64 (.f64 v v) (fma.f64 #s(literal -49/20 binary64) (/.f64 H (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))))
(* (pow v 2) (+ (* -5/98 (/ (sqrt -1) H)) (+ (* 49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (+ (* 2401/100 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 5)))) (/ 1/2 (* (pow v 2) (sqrt -1)))))))
(.f64 (.f64 v v) (fma.f64 #s(literal -5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (fma.f64 #s(literal 2401/100 binary64) (/.f64 (.f64 H H) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal -49/20 binary64) (/.f64 H (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))))))
(* 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))))))
(.f64 v (.f64 v (fma.f64 #s(literal 5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (/.f64 #s(literal -1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))))
(* (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)))))
(.f64 v (.f64 v (fma.f64 #s(literal 49/20 binary64) (/.f64 H (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (/.f64 #s(literal -1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))))))
(* (pow v 2) (- (+ (* -2401/100 (/ (pow H 2) (* (pow v 6) (pow (sqrt -1) 5)))) (+ (* -49/20 (/ H (* (pow v 4) (pow (sqrt -1) 3)))) (* 5/98 (/ (sqrt -1) H)))) (/ 1/2 (* (pow v 2) (sqrt -1)))))
(.f64 v (.f64 v (fma.f64 (/.f64 (.f64 H H) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal -2401/100 binary64) (fma.f64 #s(literal 49/20 binary64) (/.f64 H (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 5/98 binary64) (/.f64 (sqrt.f64 #s(literal -1 binary64)) H) (/.f64 #s(literal -1/2 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))))))
(* -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 #s(literal -5/98 binary64) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (*.f64 H (/.f64 #s(literal 1/2 binary64) (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)
(/.f64 (fma.f64 H (fma.f64 #s(literal -49/20 binary64) (/.f64 H (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (/.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 (+ (* 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)
(/.f64 (fma.f64 H (fma.f64 H (fma.f64 #s(literal 2401/100 binary64) (/.f64 H (.f64 (.f64 (.f64 v v) (.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 49/20 binary64) (neg.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))))) (/.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 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (*.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -5/98 binary64)))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/196 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -5/98 binary64))))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/196 binary64)) (fma.f64 (/.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 -98/5 binary64))) #s(literal -25/76832 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (*.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -5/98 binary64)))))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (+ (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 5/1568 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/196 binary64)) (fma.f64 (/.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 -98/5 binary64))) #s(literal -25/76832 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -5/98 binary64))))))
(* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))
(.f64 #s(literal 5/98 binary64) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))
(+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/196 binary64))))
(+ (* -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)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/196 binary64)) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -25/76832 binary64) (.f64 #s(literal 5/98 binary64) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))))
(+ (* -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)))) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/196 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal -5/1568 binary64)) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -25/76832 binary64) (.f64 #s(literal 5/98 binary64) (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))))
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
(* -5/98 (/ v H))
(/.f64 (*.f64 v #s(literal -5/98 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)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)

eval160.0ms (1.7%)

Memory: -16.9MiB live, 302.0MiB allocated
Compiler: Compiled 22 434 to 2 892 computations (87.1% saved)

prune148.0ms (1.6%)

Memory

-10.4MiB live, 309.1MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	1 189	5	1 194
Fresh	0	3	3
Picked	1	4	5
Done	1	4	5
Total	1 191	16	1 207

Accuracy

100.0%

Counts

1 207 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.4%	(atan.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
✓	30.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	14.2%	(atan.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 49/5 binary64))) (.f64 v v)))
	15.3%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	63.7%	(atan.f64 (/.f64 (.f64 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)))))
	44.8%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 #s(literal 1 binary64) v)))
	38.0%	(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))))))
✓	44.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	34.7%	(atan.f64 (.f64 (/.f64 v (.f64 #s(literal -98/5 binary64) H)) (sqrt.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -98/5 binary64))))))
	44.7%	(atan.f64 (.f64 (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) H))) v))
	44.8%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))) v))
	44.8%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H #s(literal -98/5 binary64)))) v))
✓	44.8%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	29.7%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 642 to 290 computations (54.8% saved)

regimes68.0ms (0.7%)

Memory

-26.5MiB live, 124.5MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs
(atan.f64 #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:

26.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
11.0ms	H
10.0ms	v
10.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
99.8%	3	`v`
71.4%	2	`H`
82.1%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
82.1%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
71.4%	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%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs
(atan.f64 #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
89.7%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs
(atan.f64 #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
89.5%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes40.0ms (0.4%)

Memory

-11.3MiB live, 28.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
41.0%	3	`H`
41.0%	3	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
46.9%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
46.9%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
70.0%	3	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes2.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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
62.3%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.4%)

Memory

-24.0MiB live, 17.8MiB 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	H
1.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms	v
1.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
34.4%	1	`H`
34.4%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
34.4%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
34.4%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
34.4%	1	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch11.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.6633335301853135e+143	2.273713738112514e+151
4.0ms	-1.934919796639949e+155	-3.473327269810992e+153

Samples

7.0ms

80×

valid

Compiler

Compiled 108 to 86 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (39% of total)

ival-div: 1.0ms (19.5% of total)

ival-atan: 1.0ms (19.5% of total)

ival-sqrt: 1.0ms (19.5% of total)

const: 1.0ms (19.5% 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)

bsearch118.0ms (1.3%)

Memory

-17.0MiB live, 58.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	2.6875414981419334e-51	3.4913435327259005e-39
74.0ms	-6.908449360775082e-58	-6.7407207804015505e-62

Samples

24.0ms	288×	0	valid
5.0ms	61×	0	invalid

Compiler

Compiled 358 to 280 computations (21.8% saved)

Precisions

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

ival-mult: 6.0ms (30% of total)

const: 5.0ms (25% of total)

ival-div: 2.0ms (10% of total)

ival-atan: 2.0ms (10% of total)

ival-sub: 2.0ms (10% of total)

ival-sqrt: 2.0ms (10% of total)

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

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

exact: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Memory

-0.4MiB live, 79.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.6875414981419334e-51	3.4913435327259005e-39
17.0ms	-6.908449360775082e-58	-6.7407207804015505e-62

Samples

27.0ms	288×	0	valid
4.0ms	48×	0	invalid

Compiler

Compiled 288 to 250 computations (13.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 6.0ms (26.8% of total)

ival-div: 5.0ms (22.3% of total)

const: 4.0ms (17.8% of total)

ival-atan: 2.0ms (8.9% of total)

ival-sub: 2.0ms (8.9% of total)

ival-sqrt: 2.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch178.0ms (1.9%)

Memory

35.0MiB live, 73.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
152.0ms	2.5270186059563843e-199	1.1327705736797044e-194
22.0ms	-1.3499229865452125e-148	-5.1935474227781554e-166

Samples

156.0ms	288×	0	valid
6.0ms	73×	0	invalid

Compiler

Compiled 306 to 250 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

const: 138.0ms (90.1% of total)

ival-mult: 7.0ms (4.6% of total)

ival-div: 2.0ms (1.3% of total)

ival-sub: 2.0ms (1.3% of total)

ival-sqrt: 2.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory

-1.2MiB live, 37.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-3.687221800049501e-303	-6.441439939879272e-304

Samples

9.0ms	96×	0	valid
2.0ms	31×	0	invalid

Compiler

Compiled 78 to 76 computations (2.6% saved)

Precisions

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

ival-mult: 2.0ms (28.9% of total)

const: 2.0ms (28.9% of total)

ival-div: 1.0ms (14.4% of total)

ival-atan: 1.0ms (14.4% of total)

ival-sub: 1.0ms (14.4% of total)

ival-sqrt: 1.0ms (14.4% of total)

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

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

exact: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

-20.3MiB live, 17.2MiB 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	52	97
1	58	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5057235284857433/1532495540865888858358347027150309183618739122183602176 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1034434490084475/383123885216472214589586756787577295904684780545900544 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 -7925321092125237/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3616343432314507/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 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 -8029874551376459/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 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 -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 400000000000000019590690630060208231828890801412297555498016949836067305437353902464492611698910585517245225872604110704821373167465034086840910479360 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5057235284857433/1532495540865888858358347027150309183618739122183602176 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5057235284857433/1532495540865888858358347027150309183618739122183602176 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1034434490084475/383123885216472214589586756787577295904684780545900544 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 -4664476251014935/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1034434490084475/383123885216472214589586756787577295904684780545900544 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 -7925321092125237/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3616343432314507/328758493846773344202561867680008041596896237676448366218642556441795759643567551382104158517349278201686435553511138607063714515636487741445488423165742553122201479445527787386978984867770169829455828233486336 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 -8029874551376459/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness987.0ms (10.5%)

Memory

-0.9MiB live, 753.5MiB allocated

Rules

15 654×	`accelerator-lowering-fma.f32`
15 654×	`accelerator-lowering-fma.f64`
13 464×	`accelerator-lowering-fma.f32`
13 464×	`accelerator-lowering-fma.f64`
10 028×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626
0	642	5766
1	1887	5702
2	6216	5649
0	8656	5359
0	12	40
1	43	40
2	268	40
3	2262	40
0	8980	36
0	449	6450
1	1324	6306
2	4433	6250
0	8861	5930
0	615	6436
1	1745	6189
2	5531	6182
0	8340	5869

Stop Event

1×	fuel
1×	iter limit
1×	node 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 221 to 151 computations (31.7% saved)

preprocess148.0ms (1.6%)

Memory: 8.6MiB live, 135.4MiB allocated
Compiler: Compiled 228 to 126 computations (44.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	47
1	19	47
2	29	47
3	38	47
4	54	47
5	75	47
6	119	47
7	163	47
8	219	47
9	276	47
10	365	47
11	405	47
12	494	47
13	516	47
14	524	47
0	524	43

Iter	Nodes	Cost
0	12	47
1	19	47
2	29	47
3	38	47
4	54	47
5	75	47
6	119	47
7	163	47
8	219	47
9	276	47
10	365	47
11	405	47
12	494	47
13	516	47
14	524	47
0	524	43

analyze32.0ms (0.3%)

sample1.1s (11.6%)

preprocess59.0ms (0.6%)

explain148.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.2%)

localize45.0ms (0.5%)

series15.0ms (0.2%)

rewrite406.0ms (4.3%)

simplify498.0ms (5.3%)

eval69.0ms (0.7%)

prune83.0ms (0.9%)

simplify303.0ms (3.2%)

localize235.0ms (2.5%)

series28.0ms (0.3%)

rewrite556.0ms (5.9%)

simplify563.0ms (6%)

eval458.0ms (4.9%)

prune258.0ms (2.7%)

simplify141.0ms (1.5%)

localize147.0ms (1.6%)

series43.0ms (0.5%)

rewrite311.0ms (3.3%)

simplify389.0ms (4.1%)

eval172.0ms (1.8%)

prune202.0ms (2.1%)

simplify208.0ms (2.2%)

localize131.0ms (1.4%)

series32.0ms (0.3%)

rewrite329.0ms (3.5%)

simplify474.0ms (5%)

eval160.0ms (1.7%)

prune148.0ms (1.6%)

regimes68.0ms (0.7%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes40.0ms (0.4%)

regimes2.0ms (0%)

regimes34.0ms (0.4%)

bsearch11.0ms (0.1%)

bsearch118.0ms (1.3%)

bsearch49.0ms (0.5%)

bsearch178.0ms (1.9%)

bsearch17.0ms (0.2%)

simplify10.0ms (0.1%)

soundness987.0ms (10.5%)

preprocess148.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	47
1	19	47
2	29	47
3	38	47
4	54	47
5	75	47
6	119	47
7	163	47
8	219	47
9	276	47
10	365	47
11	405	47
12	494	47
13	516	47
14	524	47
0	524	43