Metrics for Optimal throwing angle

analyze31.0ms (0.4%)

Memory

-2.1MiB live, 76.0MiB 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 (12.5%)

Memory

65.4MiB live, 1 548.2MiB allocated

Samples

791.0ms	8 256×	0	valid
7.0ms	92×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 599.0ms

ival-mult: 169.0ms (28.2% of total)

const: 129.0ms (21.5% of total)

ival-div: 107.0ms (17.9% of total)

ival-atan: 76.0ms (12.7% of total)

ival-sqrt: 64.0ms (10.7% of total)

ival-sub: 40.0ms (6.7% of total)

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

exact: 5.0ms (0.8% of total)

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

Bogosity

preprocess58.0ms (0.7%)

Memory

9.2MiB live, 46.5MiB allocated

Algorithm

2×	egg-herbie

Rules

224×	`accelerator-lowering-fma.f32`
224×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
140×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	72
1	67	70
2	122	70
3	227	70
4	397	70
5	645	70
6	872	70
7	1015	70
8	1160	70
9	1194	70
10	1210	70
0	12	11
1	19	11
2	29	11
3	38	11
4	54	11
5	75	11
6	119	11
7	163	11
8	219	11
9	276	11
10	365	11
11	405	11
12	494	11
13	516	11
14	524	11
0	524	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H)))))
(atan (/ (neg v) (sqrt (+ (* v v) (* H -98/5)))))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H))))))
(atan (/ v (sqrt (+ (* v v) (* 98/5 H)))))
(neg (atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H))))))
(neg (atan (/ (neg v) (sqrt (+ (* v v) (* H -98/5))))))
(neg (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H)))))))
(neg (atan (/ v (sqrt (+ (* v v) (* 98/5 H))))))
(atan (/ H (sqrt (- (* H H) (* (* 2 49/5) v)))))
(atan (/ H (sqrt (+ (* H H) (* v -98/5)))))

explain156.0ms (1.8%)

Memory

-9.9MiB live, 234.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
90	-	-	`(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	90	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	90
↳	`(*.f64 v v)`	overflow	90

Confusion

	Predicted +	Predicted -
+	90	1
-	0	165

Precision

1.0

Recall

0.989010989010989

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	90	0	1
-	0	0	165

Precision?

1.0

Recall?

0.989010989010989

Freqs

test

number	freq
0	166
1	90

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms	510×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 9.0ms (26.7% of total)

const: 7.0ms (20.8% of total)

ival-atan: 5.0ms (14.8% of total)

ival-div: 4.0ms (11.9% of total)

ival-sqrt: 4.0ms (11.9% of total)

ival-sub: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify24.0ms (0.3%)

Memory

-22.3MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

224×	`accelerator-lowering-fma.f32`
224×	`accelerator-lowering-fma.f64`
168×	`-lowering-.f32`
168×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

-0.8MiB live, 37.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.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	67.1%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

26.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (28.3% of total)

const: 3.0ms (17% of total)

ival-div: 3.0ms (17% of total)

ival-atan: 2.0ms (11.3% of total)

ival-sqrt: 2.0ms (11.3% of total)

ival-sub: 1.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series15.0ms (0.2%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

6 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite450.0ms (5.3%)

Memory

3.2MiB live, 626.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 333

Calls

Call 1

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

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

simplify400.0ms (4.7%)

Memory

32.4MiB live, 583.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval107.0ms (1.2%)

Memory: -20.0MiB live, 132.9MiB allocated
Compiler: Compiled 18 779 to 2 001 computations (89.3% saved)

prune61.0ms (0.7%)

Memory

26.1MiB live, 147.7MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	428	13	441
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	429	13	442

Accuracy

100.0%

Counts

442 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
▶	59.3%	(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)))))
	39.8%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
▶	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	64.3%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)) (.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))))
▶	37.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	65.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
	65.2%	(atan.f64 (.f64 (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v) #s(literal -1 binary64))))
	65.3%	(atan.f64 (.f64 (/.f64 v (pow.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
▶	65.4%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
	65.4%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	37.1%	(atan.f64 #s(literal 1 binary64))
▶	34.1%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 398 to 246 computations (38.2% saved)

simplify50.0ms (0.6%)

Memory

4.2MiB live, 81.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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))))
✓	cost-diff	0	(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)))))
✓	cost-diff	320	(-.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))
✓	cost-diff	1792	(.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
✓	cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))
✓	cost-diff	0	(*.f64 #s(literal -98/5 binary64) H)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))

Rules

464×	`accelerator-lowering-fma.f32`
464×	`accelerator-lowering-fma.f64`
408×	`-lowering-.f32`
408×	`-lowering-.f64`
206×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	219
1	55	213
2	103	213
3	221	213
4	456	213
5	782	213
6	1191	213
7	1354	213
8	1375	213
9	1384	213
10	1392	213
0	1392	195

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
v
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* H -98/5)
H
-98/5
(atan -1)
-1
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
v
(sqrt (* -98/5 H))
(* -98/5 H)
-98/5
H
(atan (* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v)))
(* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v))
(/ -1 (sqrt (+ (* v v) (* H -98/5))))
-1
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
v
(* H -98/5)
H
-98/5
(neg v)
(atan (/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5))))
(/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5)))
(- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v))
(* 0 (neg (sqrt (+ (* v v) (* H -98/5)))))
0
(neg (sqrt (+ (* v v) (* H -98/5))))
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
v
(* H -98/5)
H
-98/5
(* (neg (sqrt (+ (* v v) (* H -98/5)))) v)

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

localize124.0ms (1.4%)

Memory

-65.3MiB live, 304.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	78.8%	(/.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))))
✓	accuracy	99.8%	(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))
✓	accuracy	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	99.9%	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.7%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.6%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))

Samples

52.0ms	168×	0	valid
19.0ms	87×	0	invalid
2.0ms	1×	5	exit

Compiler

Compiled 248 to 28 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 15.0ms (27.9% of total)

ival-atan: 10.0ms (18.6% of total)

ival-mult: 9.0ms (16.8% of total)

ival-div: 6.0ms (11.2% of total)

const: 5.0ms (9.3% of total)

ival-sqrt: 4.0ms (7.4% of total)

ival-neg: 2.0ms (3.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

19.2MiB live, 55.9MiB allocated

Counts

18 → 372

Calls

Call 1

Inputs
#<alt (atan (/ v (sqrt (+ (* v v) (* H -98/5)))))>
#<alt (/ v (sqrt (+ (* v v) (* H -98/5))))>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan -1)>
#<alt (atan (/ v (sqrt (* -98/5 H))))>
#<alt (/ v (sqrt (* -98/5 H)))>
#<alt (sqrt (* -98/5 H))>
#<alt (* -98/5 H)>
#<alt (* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v))>
#<alt (atan (* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v)))>
#<alt (/ -1 (sqrt (+ (* v v) (* H -98/5))))>
#<alt (* 0 (neg (sqrt (+ (* v v) (* H -98/5)))))>
#<alt (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v))>
#<alt (atan (/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5))))>
#<alt (/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5)))>
#<alt (* H -98/5)>
#<alt (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)>

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
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#<alt (/ -1 v)>
#<alt (/ (- (* -49/5 (/ H (pow v 2))) 1) v)>
#<alt (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v)>
#<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) v)>
#<alt (/ 1 v)>
#<alt (* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) v))>
#<alt (* -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) 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 (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98))))))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (sqrt -5/98))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (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)))))))>
#<alt (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))))>
#<alt (+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (sqrt H) (* v (sqrt -98/5)))>
#<alt (* v (- (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* -1 (* (sqrt H) (sqrt -98/5)))))>
#<alt (* v (- (* (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)))))) (* -1 (* (sqrt H) (sqrt -98/5)))))>
#<alt (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))))) (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))) (* -1 (* (sqrt H) (sqrt -98/5)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (- (+ 1 (* -2401/50 (/ (pow H 2) (pow v 4)))) (* 49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (- (+ 1 (* -117649/250 (/ (pow H 3) (pow v 6)))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4))))))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (* 2401/50 (/ (pow H 2) (pow v 4))) (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* (pow v 2) (- (* 117649/250 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (pow v 2)>
#<alt (- (* -49/5 H) (* -1 (pow v 2)))>
#<alt (- (* H (- (* -2401/50 (/ H (pow v 2))) 49/5)) (* -1 (pow v 2)))>
#<alt (- (* H (- (* H (- (* -117649/250 (/ H (pow v 4))) (* 2401/50 (/ 1 (pow v 2))))) 49/5)) (* -1 (pow v 2)))>
#<alt (* (sqrt H) (* v (sqrt -98/5)))>
#<alt (* H (- (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))))>
#<alt (* H (- (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))))>
#<alt (* H (- (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))))>
#<alt (* -1 (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))))>
#<alt (* -1 (* H (- (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* -1 (* H (- (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5))))))))>
#<alt (* -1 (* H (- (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))>
#<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 (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -1 (* (sqrt H) (* v (sqrt -98/5))))>
#<alt (* v (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* -1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5))))))>
#<alt (* v (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3))))))))>
#<alt (* v (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3))))))))))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1))>
#<alt (* (pow v 2) (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* (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)))))))>
#<alt (* -1 (pow v 2))>
#<alt (+ (* -1 (pow v 2)) (* 49/5 H))>
#<alt (+ (* -1 (pow v 2)) (* H (+ 49/5 (* 2401/50 (/ H (pow v 2))))))>
#<alt (+ (* -1 (pow v 2)) (* H (+ 49/5 (* H (+ (* 117649/250 (/ H (pow v 4))) (* 2401/50 (/ 1 (pow v 2))))))))>
#<alt (* -1 (* (sqrt H) (* v (sqrt -98/5))))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5))))))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))))))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))))>
#<alt (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3))))))))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))>

Calls

93 calls:

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

rewrite520.0ms (6.1%)

Memory

-11.2MiB live, 923.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 022×	`-lowering-.f32`
5 022×	`-lowering-.f64`
4 436×	`accelerator-lowering-fma.f32`
4 436×	`accelerator-lowering-fma.f64`
4 052×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	137
1	116	135
2	751	135
0	8913	124

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 2 114

Calls

Call 1

Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(atan -1)
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
(sqrt (* -98/5 H))
(* -98/5 H)
(* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v))
(atan (* (/ -1 (sqrt (+ (* v v) (* H -98/5)))) (neg v)))
(/ -1 (sqrt (+ (* v v) (* H -98/5))))
(* 0 (neg (sqrt (+ (* v v) (* H -98/5)))))
(- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v))
(atan (/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5))))
(/ (- (* 0 (neg (sqrt (+ (* v v) (* H -98/5))))) (* (neg (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5)))
(* H -98/5)
(* (neg (sqrt (+ (* v v) (* H -98/5)))) v)

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

simplify476.0ms (5.5%)

Memory

53.9MiB live, 759.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 274×	`accelerator-lowering-fma.f32`
10 274×	`accelerator-lowering-fma.f64`
7 728×	`-lowering-.f32`
7 728×	`-lowering-.f64`
2 134×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	558	6551
1	1688	6342
2	5885	6301
0	8297	5963

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

eval587.0ms (6.8%)

Memory: 13.1MiB live, 1 062.0MiB allocated
Compiler: Compiled 132 092 to 8 219 computations (93.8% saved)

prune443.0ms (5.2%)

Memory

13.3MiB live, 851.1MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	3 515	7	3 522
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	3 521	14	3 535

Accuracy

100.0%

Counts

3 535 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	38.6%	(atan.f64 (/.f64 (/.f64 (.f64 v (.f64 v (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))))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
	59.3%	(atan.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
	24.1%	(atan.f64 (/.f64 (.f64 v (neg.f64 v)) (.f64 (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)))
▶	39.8%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	37.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	37.5%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
	58.6%	(atan.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))))) (fma.f64 H #s(literal 98/5 binary64) (.f64 v (neg.f64 v))))))
▶	59.9%	(atan.f64 (.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
	37.8%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
▶	65.4%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
▶	37.1%	(atan.f64 #s(literal 1 binary64))
✓	34.1%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 363 to 237 computations (34.7% saved)

simplify16.0ms (0.2%)

Memory

-32.1MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

110×	`-lowering-.f32`
110×	`-lowering-.f64`
42×	`/-lowering-/.f32`
42×	`/-lowering-/.f64`
34×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	194
1	41	194
2	50	190
3	57	190
4	103	190
5	115	190
6	131	190
7	132	190
0	132	175

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize104.0ms (1.2%)

Memory

2.7MiB live, 235.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
✓	accuracy	95.4%	(.f64 (/.f64 v (fma.f64 H #s(literal -98/5 binary64) (.f64 v v))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
✓	accuracy	84.5%	(/.f64 v (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
✓	accuracy	99.9%	(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)
✓	accuracy	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))
✓	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	99.5%	(/.f64 #s(literal -49/5 binary64) v)
✓	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	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	85.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))

Samples

41.0ms	168×	0	valid
24.0ms	87×	0	invalid
1.0ms	1×	5	exit

Compiler

Compiled 181 to 29 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 11.0ms (23.7% of total)

ival-atan: 10.0ms (21.5% of total)

ival-mult: 8.0ms (17.2% of total)

const: 7.0ms (15.1% of total)

ival-sqrt: 6.0ms (12.9% of total)

ival-add: 4.0ms (8.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

5.7MiB live, 44.5MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

rewrite417.0ms (4.9%)

Memory

19.5MiB live, 714.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 606×	`accelerator-lowering-fma.f32`
6 606×	`accelerator-lowering-fma.f64`
5 468×	`-lowering-.f32`
5 468×	`-lowering-.f64`
4 012×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	154
1	128	141
2	836	141
0	8235	129

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 067

Calls

Call 1

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

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

simplify470.0ms (5.5%)

Memory

-9.2MiB live, 712.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
6 996×	`-lowering-.f32`
6 996×	`-lowering-.f64`
2 336×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	6065
1	1972	5911
2	6051	5886
0	8177	5529

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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)))))
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(* v (- (* (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 v)
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) v)
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) v)
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) v)
(/ 1 v)
(* -1 (/ (- (* -98/5 (/ H (pow v 2))) 1) v))
(* -1 (/ (- (* -9604/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 98/5 (/ H (pow v 2))))) v))
(* -1 (/ (- (* -941192/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) v))
(/ 1 v)
(+ (* 98/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 9604/25 (/ H (pow v 5))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 7))) (* 9604/25 (/ 1 (pow v 5))))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v))
(* -5/98 (/ v H))
(/ (+ (* -5/98 v) (* -25/9604 (/ (pow v 3) H))) H)
(/ (- (+ (* -5/98 v) (* -125/941192 (/ (pow v 5) (pow H 2)))) (* 25/9604 (/ (pow v 3) H))) H)
(/ (- (+ (* -5/98 v) (* -625/92236816 (/ (pow v 7) (pow H 3)))) (+ (* 125/941192 (/ (pow v 5) (pow H 2))) (* 25/9604 (/ (pow v 3) H)))) H)
(* -5/98 (/ v H))
(* -1 (/ (+ (* 25/9604 (/ (pow v 3) H)) (* 5/98 v)) H))
(* -1 (/ (+ (* -1 (/ (- (* -125/941192 (/ (pow v 5) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 7) H)) (* -125/941192 (pow v 5))) H)) (* 25/9604 (pow v 3))) H)) (* 5/98 v)) H))
(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) (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)))))
(* -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 (* -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))))))))
(* (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))))))))

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

eval205.0ms (2.4%)

Memory: 18.0MiB live, 443.1MiB allocated
Compiler: Compiled 52 555 to 4 583 computations (91.3% saved)

prune179.0ms (2.1%)

Memory

-38.9MiB live, 422.0MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	1 612	3	1 615
Fresh	4	2	6
Picked	2	3	5
Done	0	3	3
Total	1 618	11	1 629

Accuracy

100.0%

Counts

1 629 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	39.8%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	37.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	37.5%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
▶	10.3%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64)))
▶	34.0%	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
▶	37.8%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
▶	37.8%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	37.1%	(atan.f64 #s(literal 1 binary64))
✓	34.1%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 165 to 123 computations (25.5% saved)

simplify45.0ms (0.5%)

Memory

-4.4MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

294×	`-lowering-.f32`
294×	`-lowering-.f64`
136×	`associate-l`
110×	`associate-r`
76×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	173
1	54	169
2	93	169
3	205	169
4	273	169
5	316	169
6	318	169
0	318	163

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize124.0ms (1.4%)

Memory

24.3MiB live, 240.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
✓	accuracy	99.8%	(/.f64 (*.f64 v #s(literal -5/98 binary64)) H)
✓	accuracy	95.4%	(.f64 (/.f64 (.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
✓	accuracy	84.6%	(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
✓	accuracy	99.9%	(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.6%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	accuracy	99.0%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	95.6%	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64))
✓	accuracy	90.8%	(/.f64 (*.f64 v v) H)
✓	accuracy	100.0%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.8%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)

Samples

58.0ms	168×	0	valid
22.0ms	87×	0	invalid
1.0ms	1×	5	exit

Compiler

Compiled 169 to 32 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 19.0ms (31.3% of total)

const: 13.0ms (21.4% of total)

ival-div: 11.0ms (18.1% of total)

ival-atan: 9.0ms (14.8% of total)

ival-sqrt: 5.0ms (8.2% of total)

ival-add: 2.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

-9.2MiB live, 75.0MiB allocated

Counts

22 → 432

Calls

Call 1

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

Outputs
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
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#<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)))))>

Calls

108 calls:

Time	Variable		Point	Expression
9.0ms	H	@	0	(* (/ (* v v) H) -5/49)
6.0ms	H	@	0	(* (sqrt (/ -5/98 H)) v)
1.0ms	H	@	-inf	(* (/ (* v -5/98) H) (sqrt (+ (* H -98/5) (* v v))))
1.0ms	v	@	0	(* (/ (* v -5/98) H) (sqrt (+ (* H -98/5) (* v v))))
1.0ms	H	@	inf	(* (/ (* v -5/98) H) (sqrt (+ (* H -98/5) (* v v))))

rewrite342.0ms (4%)

Memory

17.9MiB live, 626.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 052×	`accelerator-lowering-fma.f32`
5 052×	`accelerator-lowering-fma.f64`
4 272×	`-lowering-.f32`
4 272×	`-lowering-.f64`
2 928×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	143
1	123	143
2	714	143
3	7006	143
0	8475	137

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 783

Calls

Call 1

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

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (atan.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) v)))
(neg.f64 (atan.f64 (*.f64 v (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))))
(neg.f64 (atan.f64 (/.f64 v (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) v))
(neg.f64 (*.f64 v (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 H) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 v (sqrt.f64 H))))
(/.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 H))
(/.f64 (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H))
(/.f64 (/.f64 v (sqrt.f64 H)) (sqrt.f64 #s(literal -98/5 binary64)))
(/.f64 (neg.f64 (neg.f64 v)) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/.f64 (neg.f64 (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (neg.f64 (sqrt.f64 H)))
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 H))) (neg.f64 (sqrt.f64 #s(literal -98/5 binary64))))
(/.f64 (/.f64 (neg.f64 v) #s(literal -1 binary64)) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/.f64 (/.f64 v (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal -98/5 binary64)))
(/.f64 (*.f64 v (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (neg.f64 H)))
(/.f64 (*.f64 v (neg.f64 (sqrt.f64 #s(literal -5/98 binary64)))) (neg.f64 (sqrt.f64 H)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (neg.f64 H)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) v) (neg.f64 (sqrt.f64 H)))
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 H)) (neg.f64 (sqrt.f64 #s(literal -98/5 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) #s(literal -1 binary64))
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (/.f64 v #s(literal 1 binary64)))
(.f64 (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) v))
(.f64 #s(literal -1 binary64) (/.f64 v (neg.f64 (sqrt.f64 (.f64 H #s(literal -98/5 binary64))))))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 v (sqrt.f64 H)))
(.f64 (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 v (sqrt.f64 H)))
(*.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) v))
(*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) v))
(.f64 (.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(*.f64 (/.f64 v (sqrt.f64 H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))
(*.f64 (/.f64 v (sqrt.f64 H)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal -98/5 binary64)))))
(*.f64 (/.f64 v #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(.f64 (/.f64 v (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 v #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 (/.f64 v (neg.f64 (sqrt.f64 H))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 H)) (/.f64 v (neg.f64 (sqrt.f64 #s(literal -98/5 binary64)))))
(.f64 (/.f64 v (neg.f64 (sqrt.f64 (.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(.f64 (.f64 v (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal -5/98 binary64)) (neg.f64 (sqrt.f64 H))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(/.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 H))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 H))
(/.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (neg.f64 H)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (neg.f64 (sqrt.f64 H)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 5/98 binary64))) (neg.f64 (sqrt.f64 (neg.f64 H))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 H))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (neg.f64 (sqrt.f64 #s(literal -98/5 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64))) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 H)) (neg.f64 (sqrt.f64 #s(literal -98/5 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal 1 binary64)) (sqrt.f64 H))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (neg.f64 H)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal -5/98 binary64)))) (neg.f64 (sqrt.f64 H)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 H)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 H)))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/2 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 H #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -5/98 binary64) H) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) H)))
(*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 H))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 H))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(.f64 (pow.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64))) (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 5/98 binary64) H))
(neg.f64 (/.f64 #s(literal 5/98 binary64) H))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/98 binary64) H)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal 1 binary64) H))
(*.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(neg.f64 (atan.f64 (/.f64 (.f64 v v) (.f64 H #s(literal 49/5 binary64)))))
(neg.f64 (atan.f64 (.f64 (neg.f64 (/.f64 (.f64 v v) H)) #s(literal -5/49 binary64))))
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(/.f64 (-.f64 (.f64 #s(literal 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 H H) (*.f64 H H)) #s(literal 92236816/625 binary64)))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))) (/.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))) (/.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))) (fma.f64 (.f64 H H) (/.f64 #s(literal 9604/25 binary64) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))) (/.f64 (.f64 v (.f64 v (.f64 v v))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))))
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(/.f64 (.f64 (fma.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 #s(literal 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (fma.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.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 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))) (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H)))) (.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v)))) (fma.f64 (.f64 v (.f64 v (.f64 v v))) (fma.f64 H (.f64 H #s(literal 9604/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64))))
(/.f64 (.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) (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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))
(.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v)))))
(.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (/.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))
(.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) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
(.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (/.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))))
(.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))))
(.f64 (.f64 (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v))) (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))) (.f64 H (.f64 H #s(literal 9604/25 binary64))))) (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 H #s(literal 98/5 binary64) (.f64 v v))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))))
(.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 #s(literal -9604/25 binary64) (.f64 H H))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))) (.f64 #s(literal 885842380864/15625 binary64) (.f64 (.f64 H (.f64 H H)) (.f64 H (.f64 H H)))))) (fma.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (-.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (.f64 H (.f64 H #s(literal 9604/25 binary64)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64))))
(.f64 (/.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 (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64)) (.f64 (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64)))) (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))) (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 (.f64 v v) (fma.f64 v v (.f64 H #s(literal 98/5 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))) (fma.f64 (.f64 v v) (fma.f64 H #s(literal -98/5 binary64) (.f64 v v)) (.f64 H (.f64 H #s(literal 9604/25 binary64)))))

simplify434.0ms (5.1%)

Memory

-7.8MiB live, 825.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 064×	`accelerator-lowering-fma.f32`
13 064×	`accelerator-lowering-fma.f64`
6 074×	`-lowering-.f32`
6 074×	`-lowering-.f64`
3 182×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	329	4300
1	918	4272
2	2893	4247
3	6672	4206
0	8175	4061

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (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) H)
(/ (pow v 2) H)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* 49/5 (/ H (pow v 2)))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(/ 49/5 (pow v 2))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H))))))
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H))))))
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H))))))
(atan (* -5/98 (* (/ v H) (sqrt (- (pow v 2) (* 98/5 H))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(atan (* -5/98 (* (/ v H) (sqrt (+ (* -98/5 H) (pow v 2))))))
(* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5))))))
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 3))))))))
(* v (+ (* -5/98 (* (sqrt (/ 1 H)) (sqrt -98/5))) (* (pow v 2) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ 1 (pow (sqrt -98/5) 3))))))))))
(* -5/98 (/ (pow v 2) H))
(* (pow v 2) (- (* 1/2 (/ 1 (pow v 2))) (* 5/98 (/ 1 H))))
(* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (* 1/2 (/ 1 (pow v 2)))) (* 5/98 (/ 1 H))))
(* (pow v 2) (- (+ (* 49/20 (/ H (pow v 4))) (+ (* 2401/100 (/ (pow H 2) (pow v 6))) (* 1/2 (/ 1 (pow v 2))))) (* 5/98 (/ 1 H))))
(* 5/98 (/ (pow v 2) H))
(* (pow v 2) (- (* 5/98 (/ 1 H)) (* 1/2 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H))) (* 1/2 (/ 1 (pow v 2)))))
(* (pow v 2) (- (+ (* -2401/100 (/ (pow H 2) (pow v 6))) (+ (* -49/20 (/ H (pow v 4))) (* 5/98 (/ 1 H)))) (* 1/2 (/ 1 (pow v 2)))))
(* -5/98 (/ (pow v 2) H))
(/ (+ (* -5/98 (pow v 2)) (* 1/2 H)) H)
(/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* 49/20 (/ H (pow v 2)))))) H)
(/ (+ (* -5/98 (pow v 2)) (* H (+ 1/2 (* H (+ (* 2401/100 (/ H (pow v 4))) (* 49/20 (/ 1 (pow v 2)))))))) H)
(* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5))))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))
(+ (* -5/98 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -5/196 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (+ (* -5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (* 5/784 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))))))
(* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))
(+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))
(+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5)))))))
(+ (* -5/784 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 5/1568 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 5/196 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 5/98 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 (/ v H))
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 v)
(* -5/98 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 (* -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))))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(pow v 2)
(+ (* -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) (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)))))

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

eval149.0ms (1.7%)

Memory: 11.1MiB live, 338.9MiB allocated
Compiler: Compiled 21 398 to 2 874 computations (86.6% saved)

prune155.0ms (1.8%)

Memory

-30.4MiB live, 244.2MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 270	5	1 275
Fresh	0	0	0
Picked	2	3	5
Done	0	6	6
Total	1 272	14	1 286

Accuracy

100.0%

Counts

1 286 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.1%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	10.3%	(atan.f64 (/.f64 (.f64 v (.f64 v #s(literal 5/49 binary64))) (neg.f64 H)))
✓	39.8%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	37.8%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	37.5%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
	33.5%	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/98 binary64)) H) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
	10.3%	(atan.f64 (.f64 (/.f64 v H) (.f64 v #s(literal -5/49 binary64))))
✓	37.8%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
	10.3%	(atan.f64 (.f64 (.f64 (/.f64 v H) v) #s(literal -5/49 binary64)))
	10.3%	(atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) (/.f64 v H)) v))
✓	37.8%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	37.1%	(atan.f64 #s(literal 1 binary64))
✓	34.1%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 512 to 235 computations (54.1% saved)

regimes56.0ms (0.7%)

Memory

37.1MiB live, 75.6MiB allocated

Counts

29 → 3

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
9.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms	H
8.0ms	v
7.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
99.9%	3	`v`
70.5%	2	`H`
82.6%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
82.6%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
70.5%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes20.0ms (0.2%)

Memory

-29.0MiB live, 10.2MiB allocated

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
91.6%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

10 → 3

Calls

Call 1

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

regimes18.0ms (0.2%)

Memory

-0.4MiB live, 36.5MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
3.0ms	v
3.0ms	H
3.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
3.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
43.7%	4	`H`
43.7%	4	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
52.2%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
52.2%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
71.8%	3	`v`

Compiler

Compiled 42 to 31 computations (26.2% 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
69.5%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
34.1%	1	`H`
34.1%	1	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
34.1%	1	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
34.1%	1	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
34.1%	1	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch40.0ms (0.5%)

Memory

-38.4MiB live, 57.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
21.0ms	1.4746808572838247e+99	1.2534112461792802e+112
16.0ms	-5.790410855843236e+154	-2.3814563456464095e+153

Samples

27.0ms	240×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 288 to 226 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (25.9% of total)

ival-atan: 3.0ms (19.4% of total)

const: 3.0ms (19.4% of total)

ival-div: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

ival-sub: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Memory

5.0MiB live, 80.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.005217492437179732	1748.1005315412178
23.0ms	-2156.526768000795	-2.415901495433549e-9

Samples

27.0ms	304×	0	valid
5.0ms	33×	0	invalid

Compiler

Compiled 366 to 290 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 7.0ms (29.9% of total)

ival-sqrt: 5.0ms (21.4% of total)

const: 4.0ms (17.1% of total)

ival-atan: 3.0ms (12.8% of total)

ival-div: 2.0ms (8.5% of total)

ival-sub: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Memory

-5.3MiB live, 74.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.005217492437179732	1748.1005315412178
23.0ms	-2156.526768000795	-2.415901495433549e-9

Samples

26.0ms	304×	0	valid
2.0ms	20×	0	invalid

Compiler

Compiled 303 to 263 computations (13.2% saved)

Precisions

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

ival-mult: 6.0ms (30.9% of total)

const: 4.0ms (20.6% of total)

ival-atan: 3.0ms (15.4% of total)

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

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

ival-sub: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Memory

29.6MiB live, 67.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.9235700197424693e-121	8.745248058309391e-119
15.0ms	-2.993213309897678e-120	-3.3814843419508776e-121

Samples

21.0ms	224×	0	valid
7.0ms	94×	0	invalid

Compiler

Compiled 242 to 198 computations (18.2% saved)

Precisions

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

ival-mult: 6.0ms (34.6% of total)

const: 4.0ms (23.1% of total)

ival-div: 2.0ms (11.5% of total)

ival-atan: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-sub: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory

-31.8MiB live, 50.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-2.483026933377417e-286	-1.6481067257843927e-296

Samples

14.0ms	160×	0	valid
5.0ms	67×	0	invalid

Compiler

Compiled 118 to 116 computations (1.7% saved)

Precisions

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

ival-mult: 6.0ms (43.4% of total)

const: 3.0ms (21.7% of total)

ival-sqrt: 2.0ms (14.5% of total)

ival-div: 1.0ms (7.2% of total)

ival-atan: 1.0ms (7.2% of total)

ival-sub: 1.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	97
1	61	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 12500000000000000194492701618335537803352517461513267917122132255385422264559446290812317373938093095952578510848 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5742397643169489/604462909807314587353088 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8070450532247929/288230376151711744 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4958484807013127/4722366482869645213696 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3112888062438487/576460752303423488 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 -7908005320336203/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) (/.f64 v H)) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -3037382320663369/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 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 -12000000000000000741083689728179300860774047506737883413558835600106129882515049101049668142894279387343668476782235654465533253946114566581028258018492416 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 12500000000000000194492701618335537803352517461513267917122132255385422264559446290812317373938093095952578510848 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5742397643169489/604462909807314587353088 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8070450532247929/288230376151711744 binary64)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -5742397643169489/604462909807314587353088 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 8070450532247929/288230376151711744 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))))
(if (<=.f64 v #s(literal -4958484807013127/4722366482869645213696 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3112888062438487/576460752303423488 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 -4958484807013127/4722366482869645213696 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3112888062438487/576460752303423488 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 -7908005320336203/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) (/.f64 v H)) v)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -7908005320336203/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 2442178113633239/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (atan.f64 (.f64 v (.f64 #s(literal -5/49 binary64) (/.f64 v H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -3037382320663369/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness801.0ms (9.3%)

Memory

5.5MiB live, 561.3MiB allocated

Rules

10 028×	`accelerator-lowering-fma.f32`
10 028×	`accelerator-lowering-fma.f64`
9 292×	`accelerator-lowering-fma.f32`
9 292×	`accelerator-lowering-fma.f64`
7 948×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	43	40
2	268	40
3	2262	40
0	8980	36
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626
0	670	6065
1	1972	5911
2	6051	5886
0	8177	5529
0	30	143
1	123	143
2	714	143
3	7006	143
0	8475	137

Stop Event

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

Compiler

Compiled 215 to 148 computations (31.2% saved)

preprocess106.0ms (1.2%)

Memory: -14.9MiB live, 138.8MiB allocated
Compiler: Compiled 228 to 130 computations (43% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze31.0ms (0.4%)

sample1.1s (12.5%)

preprocess58.0ms (0.7%)

explain156.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize40.0ms (0.5%)

series15.0ms (0.2%)

rewrite450.0ms (5.3%)

simplify400.0ms (4.7%)

eval107.0ms (1.2%)

prune61.0ms (0.7%)

simplify50.0ms (0.6%)

localize124.0ms (1.4%)

series28.0ms (0.3%)

rewrite520.0ms (6.1%)

simplify476.0ms (5.5%)

eval587.0ms (6.8%)

prune443.0ms (5.2%)

simplify16.0ms (0.2%)

localize104.0ms (1.2%)

series22.0ms (0.3%)

rewrite417.0ms (4.9%)

simplify470.0ms (5.5%)

eval205.0ms (2.4%)

prune179.0ms (2.1%)

simplify45.0ms (0.5%)

localize124.0ms (1.4%)

series39.0ms (0.4%)

rewrite342.0ms (4%)

simplify434.0ms (5.1%)

eval149.0ms (1.7%)

prune155.0ms (1.8%)

regimes56.0ms (0.7%)

regimes20.0ms (0.2%)

regimes4.0ms (0%)

regimes18.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch40.0ms (0.5%)

bsearch47.0ms (0.5%)

bsearch47.0ms (0.6%)

bsearch42.0ms (0.5%)

bsearch31.0ms (0.4%)

simplify9.0ms (0.1%)

soundness801.0ms (9.3%)

preprocess106.0ms (1.2%)

end0.0ms (0%)

Profiling

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