Metrics for Optimal throwing angle

analyze30.0ms (0.4%)

Memory

6.3MiB live, 44.8MiB 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 (12.4%)

Memory

17.0MiB live, 1 338.1MiB allocated

Samples

751.0ms	8 256×	0	valid
9.0ms	118×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-mult: 174.0ms (31.7% of total)

const: 112.0ms (20.4% of total)

ival-atan: 77.0ms (14% of total)

ival-sqrt: 75.0ms (13.7% of total)

ival-div: 57.0ms (10.4% of total)

ival-sub: 41.0ms (7.5% of total)

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

exact: 5.0ms (0.9% of total)

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

Bogosity

preprocess60.0ms (0.7%)

Memory

9.4MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain136.0ms (1.6%)

Memory

31.2MiB live, 226.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
81	-	-	`(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	81	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	81
↳	`(*.f64 v v)`	overflow	81

Confusion

	Predicted +	Predicted -
+	81	4
-	0	171

Precision

1.0

Recall

0.9529411764705882

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	4
-	0	0	171

Precision?

1.0

Recall?

0.9529411764705882

Freqs

test

number	freq
0	175
1	81

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	500×	0	valid
6.0ms	12×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 11.0ms (26.7% of total)

const: 9.0ms (21.9% of total)

ival-atan: 7.0ms (17% of total)

ival-sqrt: 5.0ms (12.1% of total)

ival-div: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.9% of total)

adjust: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.7%	(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)

simplify22.0ms (0.3%)

Memory

-21.2MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
✓	cost-diff	128	(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
✓	cost-diff	320	(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize305.0ms (3.6%)

Memory

-154.2MiB live, 60.8MiB 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	99.9%	(/.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	70.7%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

267.0ms	6×	5	exit
23.0ms	250×	0	valid

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 281.0ms

const: 268.0ms (95.4% of total)

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

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

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

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

adjust: 1.0ms (0.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-21.3MiB live, 21.4MiB allocated

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite390.0ms (4.6%)

Memory

26.4MiB live, 604.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 333

Calls

Call 1

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

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

simplify370.0ms (4.3%)

Memory

37.0MiB live, 608.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

Outputs
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (.f64 v v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
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(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -941192/125 binary64) (.f64 H H) (.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (.f64 H (fma.f64 #s(literal -941192/125 binary64) (.f64 H H) (.f64 #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (.f64 v v) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
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(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) v)
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
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v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (neg.f64 (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 H)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64))))) (neg.f64 H))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))

eval82.0ms (1%)

Memory: -39.5MiB live, 144.3MiB allocated
Compiler: Compiled 18 771 to 2 002 computations (89.3% saved)

prune66.0ms (0.8%)

Memory

6.8MiB live, 169.0MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	424	15	439
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	425	15	440

Accuracy

100.0%

Counts

440 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.7%	(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)))))
	67.6%	(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)))
▶	46.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
	67.4%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	67.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	39.7%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
	39.5%	(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))))))
	67.6%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
	66.6%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
	40.6%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	67.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
	67.6%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
	67.6%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	40.0%	(atan.f64 #s(literal 1 binary64))
▶	28.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 482 to 304 computations (36.9% saved)

simplify14.0ms (0.2%)

Memory

-14.4MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
✓	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 -49/5 binary64) v)
✓	cost-diff	0	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	cost-diff	0	(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	cost-diff	0	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
✓	cost-diff	0	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))

Rules

98×	`lower-*.f32`
88×	`lower-*.f64`
50×	`lower-fma.f32`
48×	`lower-/.f32`
40×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	244
0	61	228
1	83	223
2	94	223
3	99	223
4	133	223
5	141	223
6	152	223
7	155	223
0	155	218

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize196.0ms (2.3%)

Memory

14.4MiB live, 170.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (.f64 H H) #s(literal -9604/25 binary64))
✓	accuracy	92.3%	(fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))
✓	accuracy	70.7%	(sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
✓	accuracy	43.9%	(/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	70.7%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	accuracy	99.9%	(/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v))
✓	accuracy	99.9%	(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
✓	accuracy	99.2%	(/.f64 #s(literal -49/5 binary64) v)
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
✓	accuracy	99.7%	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
✓	accuracy	70.7%	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))

Samples

147.0ms	250×	0	valid
7.0ms	6×	5	exit

Compiler

Compiled 268 to 38 computations (85.8% saved)

Precisions

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

ival-mult: 41.0ms (30.3% of total)

ival-add: 39.0ms (28.9% of total)

const: 24.0ms (17.8% of total)

ival-div: 11.0ms (8.1% of total)

ival-atan: 9.0ms (6.7% of total)

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

adjust: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

14.0MiB live, 52.2MiB allocated

Counts

20 → 420

Calls

Call 1

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

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt 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 (* (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 (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 (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (- v (* 49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (atan (/ v (+ v (* -49/5 (/ H v)))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (* -49/5 (/ H v))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* -49/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -49/5 (/ H v))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (* (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))))>
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#<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 (pow H 2))>
#<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 (pow v 4)>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (pow v 4)>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (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) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* -9604/25 (pow H 2))>

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))))))
2.0ms	v	@	-inf	(/ -49/5 v)
1.0ms	H	@	-inf	(/ v (+ (* H (/ -49/5 v)) v))
1.0ms	H	@	-inf	(/ (sqrt (+ (* v v) (* H -98/5))) v)
1.0ms	H	@	inf	(/ (sqrt (+ (* v v) (* H -98/5))) v)

rewrite366.0ms (4.3%)

Memory

-11.6MiB live, 617.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 374×	`lower-fma.f32`
6 364×	`lower-fma.f64`
4 518×	`lower-*.f32`
4 508×	`lower-*.f64`
4 188×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	203
0	61	145
1	197	144
2	1204	144
0	8535	143

Stop Event

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

Counts

20 → 908

Calls

Call 1

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

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

simplify489.0ms (5.7%)

Memory

17.3MiB live, 614.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 656×	`lower-fma.f64`
11 656×	`lower-fma.f32`
7 342×	`lower-*.f64`
7 342×	`lower-*.f32`
2 784×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	7287
1	1537	7133
2	4951	7075
0	8270	6597

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 411

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))))))
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(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))))))
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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))))))
(* (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))))
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1
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v
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v
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(* -1 v)
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(pow v 2)
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(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
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1
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1
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v
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1
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1
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1
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(* 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)))))
(* 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))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -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))))))
(* -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)))))))
(* (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))))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (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))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -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 (pow H 2))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(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) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))

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)))
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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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#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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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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#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 H (.f64 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)
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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 (* 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))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
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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)))))
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(* (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 (/.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 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 (/.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) (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 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(neg.f64 (.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 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))))))
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(* -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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(* (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 #s(literal 1/2 binary64) (.f64 v (/.f64 v (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 v (/.f64 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)))))))))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (.f64 v v)) (.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 H) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 v (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 -98/5 binary64)) v))))
(* 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)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (fma.f64 (/.f64 (.f64 (.f64 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) (.f64 H (.f64 H H)))) (.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))))
(* 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))))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (.f64 (sqrt.f64 H) (.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))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(neg.f64 (.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.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)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))))))
(* -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))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.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)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))))) (neg.f64 H))
(* -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)))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 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 #s(literal 1/2 binary64) (.f64 v (/.f64 v (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 v (/.f64 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 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 (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 #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 -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))))))
(.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 v (neg.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)))))
(* -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 v (neg.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))))))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 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 (/.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 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 (/.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) (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 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(neg.f64 (.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 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)))))))
(.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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (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)) (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 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))) (neg.f64 H))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.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 #s(literal -1/2 binary64) (.f64 (sqrt.f64 H) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.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 (/.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 (/.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 H (.f64 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 H (.f64 #s(literal -49/5 binary64) (.f64 H (.f64 H #s(literal -7203/25 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 H (.f64 H #s(literal -7203/25 binary64))) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 (fma.f64 H (.f64 #s(literal -49/5 binary64) (.f64 H (.f64 H #s(literal -7203/25 binary64)))) (.f64 (.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 #s(literal -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 #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)) (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 (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) (.f64 #s(literal 625/368947264 binary64) v) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -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 #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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v (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 v (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 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 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (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))))))
(-.f64 (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))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal 5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(* (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 #s(literal 1/2 binary64) (.f64 v (/.f64 v (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 v (/.f64 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 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 (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 #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 -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))))))
(.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 v (neg.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)))))
(* -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 v (neg.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))))))
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 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 (/.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) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 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 (/.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) (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 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(neg.f64 (.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 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)))))))
(.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)) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (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)) (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 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)))))) (neg.f64 H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(* -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)))
(* -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 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.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 #s(literal -9604/25 binary64) (.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.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 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))

eval228.0ms (2.7%)

Memory: -0.3MiB live, 349.1MiB allocated
Compiler: Compiled 46 318 to 3 632 computations (92.2% saved)

prune148.0ms (1.7%)

Memory

9.7MiB live, 286.0MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 312	7	1 319
Fresh	4	6	10
Picked	1	4	5
Done	0	0	0
Total	1 317	17	1 334

Accuracy

100.0%

Counts

1 334 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	46.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
	67.4%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	46.2%	(atan.f64 (/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v)))
✓	67.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	25.6%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (.f64 #s(literal -9604/25 binary64) (.f64 H H)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
	66.6%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
▶	52.1%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v)))))
	40.6%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	67.3%	(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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))))
	67.2%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
	67.6%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
▶	67.6%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
▶	39.6%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
▶	40.0%	(atan.f64 #s(literal 1 binary64))
✓	28.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 447 to 299 computations (33.1% saved)

simplify305.0ms (3.6%)

Memory

-13.4MiB live, 487.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	cost-diff	0	(sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))
✓	cost-diff	0	(.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v))))))
✓	cost-diff	0	(atan.f64 (.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v)))))
✓	cost-diff	640	(fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v))) v)
✓	cost-diff	704	(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
✓	cost-diff	0	(/.f64 H (*.f64 v #s(literal -5/49 binary64)))
✓	cost-diff	0	(atan.f64 (/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v)))
✓	cost-diff	64	(/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v))
✓	cost-diff	128	(+.f64 (/.f64 H (*.f64 v #s(literal -5/49 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

8 404×	`lower-fma.f32`
8 396×	`lower-fma.f64`
7 248×	`lower-*.f32`
7 228×	`lower-*.f64`
1 586×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
0	67	293
1	101	281
2	142	269
3	260	248
4	427	248
5	861	248
6	2660	248
7	3418	248
8	4542	248
9	5714	248
10	6749	248
11	7726	248
0	8015	244

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.3%)

Memory

0.7MiB live, 346.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 H #s(literal 98/5 binary64))
✓	accuracy	98.0%	(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
✓	accuracy	71.1%	(sqrt.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (*.f64 v v)))))
✓	accuracy	38.1%	(/.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	accuracy	92.3%	(/.f64 H (*.f64 v v))
✓	accuracy	91.9%	(fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v))) v)
✓	accuracy	90.0%	(.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v))
✓	accuracy	70.7%	(sqrt.f64 (.f64 v (fma.f64 v (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))) v)))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v)))
✓	accuracy	99.9%	(/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v))
✓	accuracy	99.8%	(/.f64 H (*.f64 v #s(literal -5/49 binary64)))
✓	accuracy	99.7%	(*.f64 v #s(literal -5/49 binary64))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	71.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))

Samples

126.0ms	250×	0	valid
17.0ms	6×	5	exit

Compiler

Compiled 321 to 40 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 43.0ms (37.1% of total)

const: 30.0ms (25.9% of total)

ival-atan: 19.0ms (16.4% of total)

ival-div: 10.0ms (8.6% of total)

ival-add: 6.0ms (5.2% of total)

ival-sqrt: 5.0ms (4.3% of total)

adjust: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory

29.0MiB live, 102.4MiB allocated

Counts

23 → 492

Calls

Call 1

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

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<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)))>
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#<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 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))) (pow v 2))>
#<alt (/ (- (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 941192/125 (/ (pow H 3) (pow v 6))))) (* -9604/25 (/ (pow H 2) (pow v 4)))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))) (pow v 2))>
#<alt (/ (- (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 941192/125 (/ (pow H 3) (pow v 6))))) (* -9604/25 (/ (pow H 2) (pow v 4)))) (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 (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -125/941192 (/ (pow v 4) (pow H 2)))) 5/98) H)>
#<alt (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) 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 (* -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 (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<alt (* -5/49 v)>
#<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 (pow (sqrt -1) 2)))>
#<alt (* -1 (* v (+ (* 49/5 (/ H (pow v 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (+ (* 117649/250 (/ (pow H 3) (* (pow v 6) (pow (sqrt -1) 4)))) (pow (sqrt -1) 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 (/ 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 (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) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* -9604/25 (pow H 2))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))>
#<alt (* -9604/25 (pow H 2))>
#<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 (pow v 4)>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (pow v 4)>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))>
#<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

123 calls:

Time	Variable		Point	Expression
4.0ms	H	@	0	(* v (+ (* v (* -98/5 (/ H (* v v)))) v))
4.0ms	H	@	-inf	(/ (+ (* v v) (* H 98/5)) (+ (* H (* H -9604/25)) (* (* v v) (* v v))))
3.0ms	v	@	-inf	(sqrt (* v (+ (* v (* -98/5 (/ H (* v v)))) v)))
1.0ms	v	@	-inf	(/ v (sqrt (* v (+ (* v (* -98/5 (/ H (* v v)))) v))))
1.0ms	H	@	inf	(/ v (sqrt (* v (+ (* v (* -98/5 (/ H (* v v)))) v))))

rewrite363.0ms (4.3%)

Memory

-17.2MiB live, 565.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 320×	`lower-fma.f32`
5 312×	`lower-fma.f64`
4 452×	`lower-/.f32`
4 440×	`lower-/.f64`
4 220×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	249
0	67	239
1	212	224
2	1467	224
0	8435	221

Stop Event

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

Counts

23 → 524

Calls

Call 1

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

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))))) (neg.f64 (neg.f64 (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)))) (neg.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (.f64 H #s(literal -9604/25 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (.f64 (/.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (/.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (.f64 H #s(literal -9604/25 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
(.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal -885842380864/15625 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (.f64 H #s(literal -9604/25 binary64)))) (.f64 (.f64 (.f64 H H) (*.f64 H H)) #s(literal 92236816/625 binary64)))))
(.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal -885842380864/15625 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) (-.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (*.f64 H #s(literal -9604/25 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))))
(.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) (.f64 (.f64 H (.f64 H H)) #s(literal -885842380864/15625 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (.f64 H #s(literal -9604/25 binary64)))) (.f64 (.f64 (.f64 H H) (*.f64 H H)) #s(literal 92236816/625 binary64))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 H (.f64 H #s(literal -9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))))
(.f64 (-.f64 (.f64 (.f64 v v) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) H)

simplify358.0ms (4.2%)

Memory

-2.5MiB live, 630.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 854×	`lower-fma.f64`
7 854×	`lower-fma.f32`
6 788×	`lower-*.f64`
6 788×	`lower-*.f32`
2 380×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	8007
1	2080	7704
2	6517	7691
0	8375	7182

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 484

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))
v
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(* -49/5 (/ H v))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* -49/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -49/5 (/ H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -5/49 (/ (pow v 2) H))
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
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(/ (- (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 941192/125 (/ (pow H 3) (pow v 6))))) (* -9604/25 (/ (pow H 2) (pow v 4)))) (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)
(/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -125/941192 (/ (pow v 4) (pow H 2)))) 5/98) H)
(/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) 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))
(* -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)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* (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 (pow (sqrt -1) 2)))
(* -1 (* v (+ (* 49/5 (/ H (pow v 2))) (pow (sqrt -1) 2))))
(* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (pow (sqrt -1) 2)))))
(* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (+ (* 117649/250 (/ (pow H 3) (* (pow v 6) (pow (sqrt -1) 4)))) (pow (sqrt -1) 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))))))))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(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) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H 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 v v) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (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 -25/19208 binary64) (/.f64 (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)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) (/.f64 #s(literal 625/92236816 binary64) (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 #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 (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 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)) (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 H #s(literal -49/5 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 H (.f64 (.f64 H H) #s(literal -941192/125 binary64)) (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (.f64 H #s(literal -49/5 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 v (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v 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 (sqrt.f64 #s(literal -5/98 binary64)) (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (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)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (fma.f64 v (/.f64 (.f64 (.f64 #s(literal 625/368947264 binary64) 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 (sqrt.f64 #s(literal -5/98 binary64)) (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (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)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (pow (sqrt -1) 2)))))
(fma.f64 (neg.f64 v) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))) v)
(* -1 (* v (+ (* -2401/50 (/ (pow H 2) (* (pow v 4) (pow (sqrt -1) 2)))) (+ (* 49/5 (/ H (pow v 2))) (+ (* 117649/250 (/ (pow H 3) (* (pow v 6) (pow (sqrt -1) 4)))) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 v) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal 117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
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 (/.f64 H (.f64 v (.f64 v v))) #s(literal -2401/50 binary64) (/.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 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 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 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (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 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 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 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (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 -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 98/5 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))))))
(neg.f64 (.f64 H (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(neg.f64 (.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(neg.f64 (.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))))))))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(* -9604/25 (pow H 2))
(.f64 #s(literal -9604/25 binary64) (.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.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 #s(literal -9604/25 binary64) (.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.f64 (.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(.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 #s(literal -9604/25 binary64) (.f64 H H))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (.f64 H #s(literal -9604/25 binary64)) (.f64 (.f64 v v) (.f64 v v)))
(pow v 4)
(.f64 (.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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)
(.f64 (.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(.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)))
(* 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))

eval143.0ms (1.7%)

Memory: 5.4MiB live, 299.4MiB allocated
Compiler: Compiled 26 218 to 3 209 computations (87.8% saved)

prune143.0ms (1.7%)

Memory

2.4MiB live, 239.4MiB allocated

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	1 004	4	1 008
Fresh	3	5	8
Picked	2	3	5
Done	0	4	4
Total	1 009	16	1 025

Accuracy

100.0%

Counts

1 025 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	13.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	46.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
▶	67.4%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	46.2%	(atan.f64 (/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v)))
✓	67.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	66.6%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
	36.4%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) v)))))
▶	40.6%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	67.3%	(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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
✓	67.6%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	40.6%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
	52.8%	(atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))
▶	43.0%	(atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v)))))
✓	40.0%	(atan.f64 #s(literal 1 binary64))
✓	28.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 321 to 219 computations (31.8% saved)

simplify35.0ms (0.4%)

Memory

-30.9MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) v)
✓	cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
✓	cost-diff	0	(/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))
✓	cost-diff	0	(sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v)))
✓	cost-diff	0	(neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))
✓	cost-diff	0	(atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) 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	(*.f64 v v)
✓	cost-diff	0	(.f64 (.f64 v v) #s(literal -5/49 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H)
✓	cost-diff	0	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	cost-diff	0	(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	12288	(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

320×	`lower-*.f32`
310×	`lower-*.f64`
190×	`lower-/.f32`
176×	`lower-/.f64`
168×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	217
0	58	218
1	81	204
2	110	198
3	181	198
4	312	198
5	509	198
6	596	198
7	616	198
8	619	198
0	619	198

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize190.0ms (2.2%)

Memory

11.3MiB live, 204.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) 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	84.4%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	100.0%	(atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v)))))
✓	accuracy	99.9%	(/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))
✓	accuracy	99.9%	(fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v)
✓	accuracy	88.1%	(sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v)))
✓	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	99.8%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.5%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	accuracy	99.8%	(.f64 (.f64 v v) #s(literal -5/49 binary64))
✓	accuracy	94.9%	(/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H)
✓	accuracy	99.9%	(/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.5%	(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	83.9%	(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))

Samples

75.0ms	86×	0	invalid
48.0ms	167×	0	valid
6.0ms	3×	5	exit

Compiler

Compiled 234 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-sqrt: 56.0ms (50.7% of total)

ival-div: 11.0ms (10% of total)

ival-mult: 11.0ms (10% of total)

const: 8.0ms (7.2% of total)

ival-atan: 8.0ms (7.2% of total)

ival-pow: 6.0ms (5.4% of total)

adjust: 3.0ms (2.7% of total)

ival-pow2: 3.0ms (2.7% of total)

ival-add: 2.0ms (1.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

-4.7MiB live, 68.7MiB allocated

Counts

23 → 480

Calls

Call 1

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

Outputs
#<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 (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 (pow (* -98/5 H) 1/4)>
#<alt (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))>
#<alt (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))>
#<alt (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))>
#<alt (sqrt v)>
#<alt (+ (sqrt v) (* -49/10 (* H (sqrt (/ 1 (pow v 3))))))>
#<alt (+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))))>
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#<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)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 6)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 8)))) (* v (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 (* -5/98 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (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) (- (* (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>
#<alt (+ 1 (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (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)))))>
#<alt 1>
#<alt (+ 1 (* 98/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (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)))))>
#<alt 1>
#<alt (+ 1 (* 98/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 941192/125 (/ H (pow v 6))) (* 9604/25 (/ 1 (pow v 4))))) (* 98/5 (/ 1 (pow v 2))))))>
#<alt (* -5/98 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/98 (pow v 2)) (* -25/9604 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/98 (pow v 2)) (* -125/941192 (/ (pow v 6) (pow H 2)))) (* 25/9604 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/98 (pow v 2)) (* -625/92236816 (/ (pow v 8) (pow H 3)))) (+ (* 125/941192 (/ (pow v 6) (pow H 2))) (* 25/9604 (/ (pow v 4) H)))) H)>
#<alt (* -5/98 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/9604 (/ (pow v 4) H)) (* 5/98 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 6) H)) (* 25/9604 (pow v 4))) H)) (* 5/98 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 8) H)) (* -125/941192 (pow v 6))) H)) (* 25/9604 (pow v 4))) H)) (* 5/98 (pow v 2))) 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 (* (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 (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 (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt v>
#<alt (+ v (* -98/5 (/ H v)))>
#<alt (+ v (* -98/5 (/ H v)))>
#<alt (+ v (* -98/5 (/ H v)))>
#<alt (* -98/5 (/ H v))>
#<alt (* H (- (/ v H) (* 98/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 98/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 98/5 (/ 1 v))))>
#<alt (* -98/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))>
#<alt (* -98/5 (/ H v))>
#<alt (/ (+ (* -98/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -98/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -98/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))>
#<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))))))))>

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(atan (/ v (sqrt (* -98/5 H))))
1.0ms	v	@	inf	(pow (+ (* v v) (* H -98/5)) 1/4)
1.0ms	v	@	0	(pow (+ (* v v) (* H -98/5)) 1/4)
1.0ms	v	@	0	(/ v (sqrt (* -98/5 H)))
1.0ms	H	@	inf	(pow (+ (* v v) (* H -98/5)) 1/4)

rewrite365.0ms (4.3%)

Memory

22.2MiB live, 537.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 940×	`lower-fma.f32`
5 936×	`lower-fma.f64`
5 294×	`lower-*.f32`
5 284×	`lower-*.f64`
3 664×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	181
0	58	164
1	177	162
2	881	162
0	8560	162

Stop Event

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

Counts

23 → 809

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
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(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (*.f64 H H) #s(literal -9604/25 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (.f64 v v))))))
(/.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (.f64 (.f64 v v) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (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 (neg.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 (neg.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 9604/25 binary64) (.f64 H H)) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (*.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))))) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (*.f64 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)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H)))))) (neg.f64 (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (.f64 v v)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (*.f64 v v)))))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v (.f64 v (.f64 v v)))) (.f64 #s(literal -941192/125 binary64) (.f64 H (.f64 H H))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H (.f64 #s(literal -98/5 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v (neg.f64 v)))) (.f64 v (.f64 v (*.f64 v v)))))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(.f64 (sqrt.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/16 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64))))
(.f64 (neg.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))
(.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64))) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 3/8 binary64)) (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/16 binary64)))

simplify520.0ms (6.1%)

Memory

15.5MiB live, 822.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 178×	`lower-fma.f64`
11 178×	`lower-fma.f32`
8 840×	`lower-*.f64`
8 840×	`lower-*.f32`
3 360×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	778	8155
1	2300	7827
2	7379	7772
0	8791	7365

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 473

Calls

Call 1

Inputs
(* (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))))))))
(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))))))
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1
(+ 1 (* 98/5 (/ H (pow v 2))))
(- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (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)))))
1
(+ 1 (* 98/5 (/ H (pow v 2))))
(- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (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)))))
1
(+ 1 (* 98/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 941192/125 (/ H (pow v 6))) (* 9604/25 (/ 1 (pow v 4))))) (* 98/5 (/ 1 (pow v 2))))))
(* -5/98 (/ (pow v 2) H))
(/ (+ (* -5/98 (pow v 2)) (* -25/9604 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/98 (pow v 2)) (* -125/941192 (/ (pow v 6) (pow H 2)))) (* 25/9604 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/98 (pow v 2)) (* -625/92236816 (/ (pow v 8) (pow H 3)))) (+ (* 125/941192 (/ (pow v 6) (pow H 2))) (* 25/9604 (/ (pow v 4) H)))) H)
(* -5/98 (/ (pow v 2) H))
(* -1 (/ (+ (* 25/9604 (/ (pow v 4) H)) (* 5/98 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 6) H)) (* 25/9604 (pow v 4))) H)) (* 5/98 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 8) H)) (* -125/941192 (pow v 6))) H)) (* 25/9604 (pow v 4))) H)) (* 5/98 (pow v 2))) H))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt H) (/ (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))))))))) v)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (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
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -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))))))
(* -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)))))))
(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))))))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
v
(+ v (* -98/5 (/ H v)))
(+ v (* -98/5 (/ H v)))
(+ v (* -98/5 (/ H v)))
(* -98/5 (/ H v))
(* H (- (/ v H) (* 98/5 (/ 1 v))))
(* H (- (/ v H) (* 98/5 (/ 1 v))))
(* H (- (/ v H) (* 98/5 (/ 1 v))))
(* -98/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 98/5 (/ 1 v)))))
(* -98/5 (/ H v))
(/ (+ (* -98/5 H) (pow v 2)) v)
(/ (+ (* -98/5 H) (pow v 2)) v)
(/ (+ (* -98/5 H) (pow v 2)) v)
v
(* v (+ 1 (* -98/5 (/ H (pow v 2)))))
(* v (+ 1 (* -98/5 (/ H (pow v 2)))))
(* v (+ 1 (* -98/5 (/ H (pow v 2)))))
v
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))
(* (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))))))))

Outputs
(* (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 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v v)) (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) (+ (* -1/8 (* (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 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) #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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 v v) (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 v (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) v)
(* v (+ 1 (+ (* -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) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -49/5 binary64) (/.f64 H (*.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 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(neg.f64 (fma.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 (.f64 H H) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 H H) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (neg.f64 v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.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 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(* 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))))))
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#s(literal 1 binary64)
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(fma.f64 (neg.f64 v) (.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64)) v)
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))
(fma.f64 (neg.f64 v) (.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64)) v)
(* -1 (* v (- (* 98/5 (/ H (pow v 2))) 1)))
(fma.f64 (neg.f64 v) (.f64 (/.f64 H (.f64 v v)) #s(literal 98/5 binary64)) v)
(* (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 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v v)) (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) (+ (* -1/8 (* (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 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) #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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 v v) (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 v (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) v)
(* v (+ 1 (+ (* -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) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -49/5 binary64) (/.f64 H (*.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 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (pow.f64 v #s(literal 4 binary64))) (.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(neg.f64 (fma.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 (.f64 H H) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (.f64 H H) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (neg.f64 v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.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 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(* 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 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.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)))))))
(* -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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (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)))))))
(neg.f64 (.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(neg.f64 (.f64 H (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))))

eval187.0ms (2.2%)

Memory: 17.4MiB live, 441.9MiB allocated
Compiler: Compiled 26 088 to 3 943 computations (84.9% saved)

prune194.0ms (2.3%)

Memory

40.6MiB live, 387.1MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1 289	7	1 296
Fresh	0	4	4
Picked	3	2	5
Done	2	5	7
Total	1 294	18	1 312

Accuracy

100.0%

Counts

1 312 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	13.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
✓	46.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	46.2%	(atan.f64 (/.f64 v (+.f64 (/.f64 H (*.f64 v #s(literal -5/49 binary64))) v)))
✓	67.7%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	66.6%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 #s(literal 98/5 binary64) H (.f64 v v)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))))
	36.4%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 v (/.f64 (.f64 #s(literal -98/5 binary64) H) v)))))
✓	40.6%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	40.2%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
	40.2%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (.f64 H #s(literal -98/5 binary64))))))
	40.6%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
	13.8%	(atan.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) (.f64 v v)))
	13.8%	(atan.f64 (.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) v) v))
	40.6%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
	52.8%	(atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))
	18.8%	(atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -98/5 binary64)) v)))))
	43.0%	(atan.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H (/.f64 #s(literal -98/5 binary64) v) v)) v))))
✓	40.0%	(atan.f64 #s(literal 1 binary64))
✓	28.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 643 to 317 computations (50.7% saved)

regimes74.0ms (0.9%)

Memory

-49.4MiB live, 119.5MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

30.0ms	H
12.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
11.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
10.0ms	v
9.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
99.8%	3	`v`
71.3%	2	`H`
84.8%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
84.8%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
71.3%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes8.0ms (0.1%)

Memory

-15.2MiB live, 23.1MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

10 → 3

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.6%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-30.4MiB live, 9.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.6%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB 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 #s(literal -5/49 binary64) H) v) v))
(atan.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) (.f64 v v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) 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
91.6%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

2.2MiB live, 40.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
2.0ms	H
2.0ms	v
2.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
42.1%	2	`H`
42.1%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
51.3%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
51.3%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
72.3%	3	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB 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
66.3%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-25.3MiB live, 17.4MiB 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:

3.0ms	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
28.2%	1	`H`
28.2%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
28.2%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
28.2%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
28.2%	1	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch48.0ms (0.6%)

Memory

26.7MiB live, 104.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
24.0ms	1.0337576976542751e-82	8.063274192382095e-68
20.0ms	-1.6656230364326377e+43	-2.150680493664646e+36

Samples

27.0ms	304×	0	valid
3.0ms	46×	0	invalid

Compiler

Compiled 521 to 367 computations (29.6% saved)

Precisions

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

ival-mult: 6.0ms (31% of total)

const: 4.0ms (20.7% of total)

ival-atan: 3.0ms (15.5% of total)

ival-div: 2.0ms (10.3% of total)

ival-sqrt: 2.0ms (10.3% of total)

ival-sub: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory

-22.6MiB live, 15.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.0337576976542751e-82	8.063274192382095e-68
6.0ms	-1.7708198968803525e+168	-1.7539993819327964e+151

Samples

4.0ms

48×

valid

Compiler

Compiled 332 to 238 computations (28.3% saved)

Precisions

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

ival-mult: 1.0ms (33.8% of total)

ival-atan: 1.0ms (33.8% of total)

const: 1.0ms (33.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
4.0ms	5.326714987346199e+135	8.066589794364152e+137
0.0ms	-1.7708198968803525e+168	-1.7539993819327964e+151

Samples

3.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 108 to 86 computations (20.4% saved)

Precisions

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

ival-mult: 1.0ms (50.7% of total)

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

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

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

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

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

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

const: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Memory

21.0MiB live, 103.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1990455107478485e-66	3.1540370188302094e-62
21.0ms	-0.0003052727700839248	-6.280517827767274e-10

Samples

25.0ms	272×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 329 to 261 computations (20.7% saved)

Precisions

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

ival-mult: 8.0ms (39.4% of total)

const: 4.0ms (19.7% of total)

ival-div: 2.0ms (9.9% of total)

ival-atan: 2.0ms (9.9% of total)

ival-sub: 2.0ms (9.9% of total)

ival-sqrt: 2.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

-31.4MiB live, 6.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.1990455107478485e-66	3.1540370188302094e-62
1.0ms	-0.0003052727700839248	-6.280517827767274e-10

Compiler

Compiled 273 to 237 computations (13.2% saved)

bsearch2.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1990455107478485e-66	3.1540370188302094e-62
1.0ms	-0.0003052727700839248	-6.280517827767274e-10

Compiler

Compiled 273 to 237 computations (13.2% saved)

bsearch90.0ms (1.1%)

Memory

21.5MiB live, 100.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	5.054657138775004e-129	5.153095604884153e-119
50.0ms	-1.4000704876489106e-118	-4.934535864423219e-137

Samples

49.0ms	320×	0	valid
19.0ms	143×	0	invalid

Compiler

Compiled 338 to 276 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 32.0ms (65.9% of total)

const: 6.0ms (12.3% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-div: 2.0ms (4.1% of total)

ival-atan: 2.0ms (4.1% of total)

ival-sub: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.054657138775004e-129	5.153095604884153e-119
1.0ms	-1.4000704876489106e-118	-4.934535864423219e-137

Compiler

Compiled 338 to 276 computations (18.3% saved)

bsearch36.0ms (0.4%)

Memory

-1.6MiB live, 70.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.6625812489867423e-306	9.354209456899977e-278

Samples

16.0ms	176×	0	valid
6.0ms	81×	0	invalid

Compiler

Compiled 128 to 126 computations (1.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

const: 6.0ms (37.9% of total)

ival-mult: 5.0ms (31.6% of total)

ival-sqrt: 2.0ms (12.6% of total)

ival-div: 1.0ms (6.3% of total)

ival-atan: 1.0ms (6.3% of total)

ival-sub: 1.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

-13.7MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	205
1	84	205
2	86	205
3	87	205

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -349999999999999992498623700725690720583680 binary64)) (atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))) (if (<=.f64 v #s(literal 4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))))
(if (<=.f64 v #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))))
(if (<=.f64 v #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) (.f64 v v))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) v) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal 2688154926737719/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 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 -349999999999999992498623700725690720583680 binary64)) (atan.f64 (neg.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))) (if (<=.f64 v #s(literal 4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))))
(if (<=.f64 v #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4856672230564323/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 (sqrt.f64 (/.f64 v (fma.f64 #s(literal -98/5 binary64) (/.f64 H v) v))))))
(if (<=.f64 v #s(literal -200000000000000001435246308182033660816122962378320623613425544292501323360976680256533213969152378660773147626593524272520163068458938451905467307354226688 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 -4980620899901579/36893488147419103232 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5326436104916545/231584178474632390847141970017375815706539969331281128078915168015826259279872 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 -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) (.f64 v v))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 (.f64 v v) (/.f64 #s(literal -5/49 binary64) H))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 (.f64 (/.f64 #s(literal -5/49 binary64) H) v) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -621944215500267/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8584808513368979/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (atan.f64 (.f64 v (.f64 v (/.f64 #s(literal -5/49 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal 2688154926737719/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness993.0ms (11.6%)

Memory

23.4MiB live, 955.1MiB allocated

Rules

11 656×	`lower-fma.f64`
11 656×	`lower-fma.f32`
10 028×	`lower-fma.f64`
10 028×	`lower-fma.f32`
7 948×	`lower-fma.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
0	32	181
0	58	164
1	177	162
2	881	162
0	8560	162
0	532	7287
1	1537	7133
2	4951	7075
0	8270	6597
0	717	8007
1	2080	7704
2	6517	7691
0	8375	7182
0	11	40
0	19	40
1	50	40
2	275	40
3	2260	40
0	8978	36

Stop Event

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

Compiler

Compiled 512 to 300 computations (41.4% saved)

preprocess86.0ms (1%)

Memory: -11.3MiB live, 178.2MiB allocated
Compiler: Compiled 444 to 170 computations (61.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	33	244
0	61	228
1	83	223
2	94	223
3	99	223
4	133	223
5	141	223
6	152	223
7	155	223
0	155	218

Iter	Nodes	Cost
0	32	217
0	58	218
1	81	204
2	110	198
3	181	198
4	312	198
5	509	198
6	596	198
7	616	198
8	619	198
0	619	198

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

Iter	Nodes	Cost
0	33	244
0	61	228
1	83	223
2	94	223
3	99	223
4	133	223
5	141	223
6	152	223
7	155	223
0	155	218

Iter	Nodes	Cost
0	32	217
0	58	218
1	81	204
2	110	198
3	181	198
4	312	198
5	509	198
6	596	198
7	616	198
8	619	198
0	619	198

analyze30.0ms (0.4%)

sample1.1s (12.4%)

preprocess60.0ms (0.7%)

explain136.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize305.0ms (3.6%)

series17.0ms (0.2%)

rewrite390.0ms (4.6%)

simplify370.0ms (4.3%)

eval82.0ms (1%)

prune66.0ms (0.8%)

simplify14.0ms (0.2%)

localize196.0ms (2.3%)

series30.0ms (0.3%)

rewrite366.0ms (4.3%)

simplify489.0ms (5.7%)

eval228.0ms (2.7%)

prune148.0ms (1.7%)

simplify305.0ms (3.6%)

localize194.0ms (2.3%)

series37.0ms (0.4%)

rewrite363.0ms (4.3%)

simplify358.0ms (4.2%)

eval143.0ms (1.7%)

prune143.0ms (1.7%)

simplify35.0ms (0.4%)

localize190.0ms (2.2%)

series33.0ms (0.4%)

rewrite365.0ms (4.3%)

simplify520.0ms (6.1%)

eval187.0ms (2.2%)

prune194.0ms (2.3%)

regimes74.0ms (0.9%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes14.0ms (0.2%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch48.0ms (0.6%)

bsearch9.0ms (0.1%)

bsearch5.0ms (0.1%)

bsearch44.0ms (0.5%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch90.0ms (1.1%)

bsearch2.0ms (0%)

bsearch36.0ms (0.4%)

simplify11.0ms (0.1%)

soundness993.0ms (11.6%)

preprocess86.0ms (1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	33	244
0	61	228
1	83	223
2	94	223
3	99	223
4	133	223
5	141	223
6	152	223
7	155	223
0	155	218

Iter	Nodes	Cost
0	32	217
0	58	218
1	81	204
2	110	198
3	181	198
4	312	198
5	509	198
6	596	198
7	616	198
8	619	198
0	619	198