Metrics for Optimal throwing angle

analyze34.0ms (0.3%)

Memory

13.6MiB live, 56.1MiB 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)

sample1.3s (12%)

Memory

40.3MiB live, 1 964.7MiB allocated

Samples

931.0ms	8 256×	0	valid
45.0ms	95×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 696.0ms

ival-mult: 169.0ms (24.3% of total)

ival-sqrt: 142.0ms (20.4% of total)

const: 119.0ms (17.1% of total)

ival-div: 108.0ms (15.5% of total)

ival-atan: 78.0ms (11.2% of total)

ival-sub: 65.0ms (9.3% of total)

ival-true: 7.0ms (1% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess57.0ms (0.5%)

Memory

2.1MiB live, 76.2MiB 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 (fma.f64 H #s(literal -98/5 binary64) #s(literal 0 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)))))

explain204.0ms (1.9%)

Memory

5.4MiB live, 320.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))`	oflow-rescue	85	0
↳	`(-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))`	overflow	85
↳	`(*.f64 v v)`	overflow	85

Confusion

	Predicted +	Predicted -
+	85	1
-	0	170

Precision

1.0

Recall

0.9883720930232558

Confusion?

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

Precision?

1.0

Recall?

0.9883720930232558

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms	506×	0	valid
3.0ms	6×	5	exit

Compiler

Compiled 152 to 48 computations (68.4% saved)

Precisions

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

ival-mult: 11.0ms (28.4% of total)

const: 8.0ms (20.7% of total)

ival-div: 6.0ms (15.5% of total)

ival-atan: 5.0ms (12.9% of total)

ival-sqrt: 4.0ms (10.3% of total)

ival-sub: 2.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify33.0ms (0.3%)

Memory

-54.1MiB live, 31.6MiB 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	192	(-.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 (fma.f64 H #s(literal -98/5 binary64) #s(literal 0 binary64))))))
(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
(/.f64 v (sqrt.f64 (fma.f64 v v (fma.f64 H #s(literal -98/5 binary64) #s(literal 0 binary64)))))
v
(sqrt (- (* v v) (* (* 2 49/5) H)))
(sqrt.f64 (fma.f64 v v (fma.f64 H #s(literal -98/5 binary64) #s(literal 0 binary64))))
(- (* v v) (* (* 2 49/5) H))
(fma.f64 v v (fma.f64 H #s(literal -98/5 binary64) #s(literal 0 binary64)))
(* v v)
(fma.f64 v v #s(literal 0 binary64))
(* (* 2 49/5) H)
(fma.f64 #s(literal 98/5 binary64) H #s(literal 0 binary64))
(* 2 49/5)
#s(literal 98/5 binary64)
2
#s(literal 2 binary64)
49/5
#s(literal 49/5 binary64)
H

localize43.0ms (0.4%)

Memory

18.3MiB live, 94.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
✓	accuracy	99.8%	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
✓	accuracy	99.3%	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
✓	accuracy	69.0%	(sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))

Samples

26.0ms	253×	0	valid
1.0ms	3×	5	exit

Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions

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

ival-mult: 5.0ms (26.3% of total)

ival-atan: 5.0ms (26.3% of total)

const: 4.0ms (21% of total)

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

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

ival-sub: 1.0ms (5.3% 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)

series16.0ms (0.1%)

Memory

-5.8MiB live, 33.5MiB 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	v	@	0	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	H	@	-inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	H	@	inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	v	@	inf	(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
1.0ms	H	@	0	(sqrt (- (* v v) (* (* 2 49/5) H)))

rewrite434.0ms (4.1%)

Memory

15.2MiB live, 790.4MiB 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 (-.f64 #s(literal 0 binary64) (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)))) (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) #s(literal 0 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) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 binary64) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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)))) (-.f64 #s(literal 0 binary64) (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 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 v v (.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 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))))) #s(literal 1/2 binary64)) (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 (pow.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 (/.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)))

simplify510.0ms (4.8%)

Memory

-3.1MiB live, 757.2MiB 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 (fma.f64 v v #s(literal 0 binary64)))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(pow v 2)
(fma.f64 v v #s(literal 0 binary64))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(pow v 2)
(fma.f64 v v #s(literal 0 binary64))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (fma.f64 v v #s(literal 0 binary64)))
(pow v 2)
(fma.f64 v v #s(literal 0 binary64))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(* -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 (fma.f64 v v #s(literal 0 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(* -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 (fma.f64 v v #s(literal 0 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (fma.f64 v v #s(literal 0 binary64)))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
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(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
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1
#s(literal 1 binary64)
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(* (sqrt H) (sqrt -98/5))
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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 (fma.f64 (.f64 H H) (/.f64 #s(literal -2401/50 binary64) (.f64 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) 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 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))
(* -1 v)
(-.f64 #s(literal 0 binary64) 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)))))))
(.f64 v (fma.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 H H) (*.f64 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (fma.f64 v v #s(literal 0 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 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 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (fma.f64 v v #s(literal 0 binary64))) #s(literal -1 binary64)))))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (fma.f64 v v #s(literal 0 binary64)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (fma.f64 v v #s(literal 0 binary64))))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (*.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (fma.f64 v v #s(literal 0 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (*.f64 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (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 (fma.f64 v v #s(literal 0 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (.f64 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (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 H) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (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 #s(literal 0 binary64) 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 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (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)))))) (-.f64 #s(literal 0 binary64) 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 (fma.f64 v v #s(literal 0 binary64)) (fma.f64 v v #s(literal 0 binary64))) (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 #s(literal 0 binary64) 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))

eval63.0ms (0.6%)

Memory: 15.4MiB live, 170.2MiB allocated
Compiler: Compiled 19 038 to 2 003 computations (89.5% saved)

prune124.0ms (1.2%)

Memory

-34.7MiB live, 137.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	426	15	441
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	427	15	442

Accuracy

100.0%

Counts

442 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (fma.f64 v v #s(literal 0 binary64))) #s(literal 1 binary64)))
	61.3%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 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)))) (-.f64 #s(literal 0 binary64) v)))))
▶	61.5%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
	67.1%	(atan.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v)))
	37.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
	67.0%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	38.2%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))
▶	40.7%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	67.2%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
	67.1%	(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))))
	67.1%	(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)) (/.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))))
▶	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
	34.5%	(atan.f64 #s(literal 1 binary64))
▶	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 538 to 312 computations (42% saved)

simplify249.0ms (2.4%)

Memory

52.2MiB live, 358.5MiB 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) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (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	384	(-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
✓	cost-diff	1920	(.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (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 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
✓	cost-diff	0	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
✓	cost-diff	-64	(*.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	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	0	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))

Rules

4 836×	`-lowering-.f32`
4 836×	`-lowering-.f64`
2 552×	`accelerator-lowering-fma.f32`
2 552×	`accelerator-lowering-fma.f64`
1 886×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	240
1	50	231
2	84	227
3	174	227
4	397	227
5	813	227
6	1300	227
7	1611	227
8	1931	227
9	2161	227
10	2822	223
11	3224	223
12	3881	223
13	4414	223
14	4902	223
15	5338	223
16	5898	223
17	6918	223
0	8199	204

Stop Event

1×	iter limit
1×	node limit

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

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

localize139.0ms (1.3%)

Memory

-30.3MiB live, 264.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	82.1%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	76.4%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (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	99.9%	(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	82.1%	(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	99.8%	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.7%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.5%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	99.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v)
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	82.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))

Samples

51.0ms	186×	0	valid
21.0ms	69×	0	invalid
1.0ms	1×	5	exit

Compiler

Compiled 268 to 30 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-atan: 13.0ms (30.3% of total)

ival-mult: 9.0ms (21% of total)

ival-div: 8.0ms (18.6% of total)

ival-sqrt: 5.0ms (11.6% of total)

const: 4.0ms (9.3% of total)

ival-sub: 2.0ms (4.7% of total)

ival-add: 1.0ms (2.3% 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)

series32.0ms (0.3%)

Memory

-10.6MiB live, 65.5MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#<alt (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v))>
#<alt (sqrt (/ 1 (+ (* v v) (* H -98/5))))>
#<alt (/ 1 (+ (* v v) (* H -98/5)))>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan -1)>
#<alt (atan (/ v (sqrt (* -98/5 H))))>
#<alt (/ v (sqrt (* -98/5 H)))>
#<alt (sqrt (* -98/5 H))>
#<alt (* -98/5 H)>
#<alt (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))>
#<alt (atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))>
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (* 0 (- 0 (sqrt (+ (* v v) (* H -98/5)))))>
#<alt (- (* 0 (- 0 (sqrt (+ (* v v) (* H -98/5))))) (* (- 0 (sqrt (+ (* v v) (* H -98/5)))) v))>
#<alt (atan (/ (- (* 0 (- 0 (sqrt (+ (* v v) (* H -98/5))))) (* (- 0 (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5))))>
#<alt (/ (- (* 0 (- 0 (sqrt (+ (* v v) (* H -98/5))))) (* (- 0 (sqrt (+ (* v v) (* H -98/5)))) v)) (+ (* v v) (* H -98/5)))>
#<alt (* H -98/5)>
#<alt (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)>
#<alt (* (- 0 (sqrt (+ (* v v) (* H -98/5)))) 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)) (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 (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
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#<alt (* -98/5 H)>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* -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

105 calls:

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

rewrite767.0ms (7.2%)

Memory

21.1MiB live, 1 478.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 386×	`accelerator-lowering-fma.f32`
5 386×	`accelerator-lowering-fma.f64`
5 132×	`-lowering-.f32`
5 132×	`-lowering-.f64`
3 846×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
1	131	153
2	918	153
0	8887	140

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 3 221

Calls

Call 1

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

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

simplify569.0ms (5.4%)

Memory

24.7MiB live, 1 021.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
8 054×	`-lowering-.f32`
8 054×	`-lowering-.f64`
3 438×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	686	7575
1	2090	7353
2	6899	7299
0	8084	6899

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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1
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(* -98/5 H)
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1
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1
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(* (pow v 2) (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (pow v 2))
(+ (* -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)) (sqrt -5/98))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(fma.f64 (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))))
(+ (* (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)))))))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* (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)))))))))
(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 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 H (.f64 H #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -49/5 binary64) (.f64 H (.f64 H (.f64 H #s(literal -7203/25 binary64)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal 1 binary64))) v)
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(/.f64 (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) v)
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 H (.f64 H #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -49/5 binary64) (.f64 H (.f64 H (.f64 H #s(literal -7203/25 binary64)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) v))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal 49/5 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal 1 binary64) v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 7 binary64))) (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 5 binary64)))) (/.f64 #s(literal 49/5 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal 1 binary64) v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(fma.f64 (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))))
(+ (* -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))))
(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 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (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)))))
(+ (* -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)))))
(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 H (.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (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 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (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))))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(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 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (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 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -625/368947264 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)))) (neg.f64 (.f64 H (*.f64 H H))))))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(/.f64 (fma.f64 #s(literal -25/9604 binary64) (/.f64 (*.f64 v v) H) #s(literal -5/98 binary64)) H)
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 #s(literal -125/941192 binary64) (/.f64 (.f64 v v) (.f64 H (.f64 H H))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/941192 binary64) (.f64 H (.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
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(/ (- (+ 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))
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(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 H) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 v (.f64 v v))) (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 -98/5 binary64)) v) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 5 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 v (.f64 v v))) (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 -98/5 binary64)) v) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(-.f64 #s(literal 0 binary64) (.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64))))))))
(* (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 v (/.f64 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.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 v (.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) #s(literal 1 binary64)))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.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 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64)))))
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(.f64 v (-.f64 #s(literal -1 binary64) (.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #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 (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 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 (/.f64 H (.f64 v (.f64 v v))) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (neg.f64 (sqrt.f64 H)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(-.f64 #s(literal 0 binary64) (.f64 H (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) (neg.f64 H))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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(* (sqrt H) (* v (sqrt -98/5)))
(.f64 (sqrt.f64 H) (.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* v (- (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* -1 (* (sqrt H) (sqrt -98/5)))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
(* v (- (* (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)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
(* v (- (* (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)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (- (+ 1 (* -2401/50 (/ (pow H 2) (pow v 4)))) (* 49/5 (/ H (pow v 2)))))
(.f64 v (.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64)))))
(* (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))))))
(.f64 v (.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 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64))))))
(* -1 (pow v 2))
(-.f64 #s(literal 0 binary64) (*.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) (- (* 2401/50 (/ (pow H 2) (pow v 4))) (+ 1 (* -49/5 (/ H (pow v 2))))))
(.f64 (.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (fma.f64 (.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal 2401/50 binary64) #s(literal -1 binary64))) v) v)
(* (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)))))))
(.f64 (.f64 v v) (-.f64 (/.f64 (.f64 #s(literal 117649/250 binary64) (.f64 H (.f64 H H))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v)) (fma.f64 (*.f64 H (/.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -2401/50 binary64) #s(literal 1 binary64)))))
(pow v 2)
(*.f64 v v)
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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1
#s(literal 1 binary64)
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(fma.f64 v (-.f64 #s(literal 0 binary64) v) (.f64 H (fma.f64 H (/.f64 #s(literal 2401/50 binary64) (.f64 v v)) #s(literal 49/5 binary64))))
(+ (* -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 (pow.f64 v #s(literal 4 binary64))) #s(literal 117649/250 binary64) (/.f64 #s(literal 2401/50 binary64) (.f64 v v))) #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.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 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.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)))) (* 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 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.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)))) (+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (pow.f64 v #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal -1/16 binary64)) (fma.f64 (/.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) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -98/5 binary64))))))
(* (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 (-.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (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)))))
(* -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 (-.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -1/2 binary64)) (.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)))))
(* -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 (-.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 v #s(literal 7 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)) (.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 v (.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) (neg.f64 H))

eval1.1s (10.2%)

Memory: 6.3MiB live, 1 764.6MiB allocated
Compiler: Compiled 203 607 to 13 523 computations (93.4% saved)

prune574.0ms (5.4%)

Memory

-37.0MiB live, 1 055.6MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	4 945	6	4 951
Fresh	6	4	10
Picked	2	3	5
Done	0	0	0
Total	4 953	13	4 966

Accuracy

100.0%

Counts

4 966 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	37.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
▶	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
	38.2%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (.f64 v (.f64 v v)) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H))))))
✓	40.7%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	63.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
	67.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))))
▶	40.7%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
▶	63.2%	(atan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))))
✓	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
▶	40.7%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
▶	34.5%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 309 to 203 computations (34.3% saved)

simplify12.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

114×	`-lowering-.f32`
114×	`-lowering-.f64`
48×	`/-lowering-/.f32`
48×	`/-lowering-/.f64`
38×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	185
1	37	175
2	57	175
3	101	175
4	110	175
5	120	175
6	120	175
7	130	175
8	147	175
9	160	175
10	166	175
11	166	175
12	168	175
0	168	163

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

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

localize119.0ms (1.1%)

Memory

-14.4MiB live, 179.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	97.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v) (sqrt.f64 (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	82.7%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	82.1%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
✓	accuracy	99.8%	(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	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	100.0%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	accuracy	99.9%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v)
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	accuracy	99.9%	(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	82.1%	(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))

Samples

60.0ms	186×	0	valid
15.0ms	69×	0	invalid
1.0ms	1×	5	exit

Compiler

Compiled 175 to 26 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sqrt: 23.0ms (38.6% of total)

const: 10.0ms (16.8% of total)

ival-mult: 10.0ms (16.8% of total)

ival-atan: 8.0ms (13.4% of total)

ival-div: 7.0ms (11.8% of total)

ival-add: 1.0ms (1.7% 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)

series15.0ms (0.1%)

Memory

29.3MiB live, 29.3MiB allocated

Counts

18 → 348

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

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(* (sqrt (/ -5/98 H)) v)
1.0ms	H	@	0	(* (sqrt (/ -5/98 H)) v)
1.0ms	H	@	-inf	(/ 1 (sqrt (* H -98/5)))
1.0ms	H	@	-inf	(* (sqrt (/ -5/98 H)) v)
0.0ms	v	@	inf	(* (sqrt (/ -5/98 H)) v)

rewrite414.0ms (3.9%)

Memory

10.7MiB live, 598.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 866×	`-lowering-.f32`
3 866×	`-lowering-.f64`
3 352×	`accelerator-lowering-fma.f32`
3 352×	`accelerator-lowering-fma.f64`
2 500×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	123
1	90	121
2	481	121
3	3723	121
0	8587	108

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 048

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

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

simplify606.0ms (5.7%)

Memory

-1.2MiB live, 962.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 298×	`accelerator-lowering-fma.f32`
12 298×	`accelerator-lowering-fma.f64`
6 264×	`-lowering-.f32`
6 264×	`-lowering-.f64`
4 284×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	5004
1	1488	4886
2	4643	4857
0	8098	4610

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.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 v (.f64 v (fma.f64 (.f64 v v) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (.f64 #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 (.f64 H (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 H (.f64 v v)) #s(literal -49/5 binary64) (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 (.f64 H (fma.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (.f64 (.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (.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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (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 (.f64 (fma.f64 H (.f64 (/.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (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 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v)))) (.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(-.f64 (fma.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal 5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (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 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (/.f64 (.f64 (.f64 v v) (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 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (.f64 (/.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)))))
(.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(.f64 v (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 v (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)))))
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 0 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))))))))
(.f64 (fma.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 #s(literal -117649/250 binary64) (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (.f64 v (.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) #s(literal 1/2 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(.f64 H (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) #s(literal 1/2 binary64))))))
(* H (+ (* -1/8 (* (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 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (-.f64 #s(literal 0 binary64) 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 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))))) (-.f64 #s(literal 0 binary64) H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 (/.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))))) (-.f64 #s(literal 0 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(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 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan.f64 (.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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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))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (.f64 (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H))))) (.f64 v (.f64 v v)))) (.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(-.f64 (fma.f64 v (.f64 (sqrt.f64 #s(literal 5/98 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -625/368947264 binary64) (/.f64 (.f64 H (.f64 (.f64 v v) (.f64 v v))) #s(literal 5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 (.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 H (.f64 H H))))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 #s(literal -125/941192 binary64) (/.f64 (.f64 v v) (.f64 H (.f64 H H))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/941192 binary64) (.f64 H (.f64 H H))))) (/.f64 #s(literal -25/9604 binary64) (.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 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))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) #s(literal 1 binary64)) (.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (.f64 v v))
(/ (- (+ 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))
(/.f64 (fma.f64 (/.f64 (.f64 H (.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 v v)) (fma.f64 (/.f64 (.f64 H H) (.f64 (.f64 v v) (.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64)))) (.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 98/5 binary64) (.f64 (.f64 v v) (.f64 v v)))) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H) #s(literal -5/98 binary64)) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/.f64 (-.f64 (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -625/92236816 binary64)) (.f64 H (.f64 H H))) (fma.f64 #s(literal 125/941192 binary64) (/.f64 (.f64 (.f64 v v) (.f64 v v)) (.f64 H H)) (fma.f64 (.f64 v v) (/.f64 #s(literal 25/9604 binary64) H) #s(literal 5/98 binary64)))) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H) (.f64 (*.f64 v v) #s(literal -25/9604 binary64))) H)) (-.f64 #s(literal 0 binary64) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 #s(literal -5/98 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -25/9604 binary64) (/.f64 (fma.f64 #s(literal 125/941192 binary64) (.f64 (.f64 v v) (.f64 v v)) (/.f64 (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) H)) (-.f64 #s(literal 0 binary64) H))) H)) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)

eval397.0ms (3.8%)

Memory: 11.3MiB live, 475.0MiB allocated
Compiler: Compiled 52 729 to 5 181 computations (90.2% saved)

prune297.0ms (2.8%)

Memory

7.6MiB live, 403.8MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 972	2	1 974
Fresh	3	2	5
Picked	1	4	5
Done	0	3	3
Total	1 976	11	1 987

Accuracy

100.0%

Counts

1 987 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
▶	40.6%	(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H))))
▶	37.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	40.7%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	40.7%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))) v))
✓	40.7%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
✓	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
✓	40.7%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	34.5%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 108 to 83 computations (23.1% saved)

simplify33.0ms (0.3%)

Memory

-25.3MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.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	(sqrt.f64 (-.f64 #s(literal 0 binary64) H))
✓	cost-diff	0	(sqrt.f64 #s(literal 5/98 binary64))
✓	cost-diff	0	(/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H)))
✓	cost-diff	0	(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H))))
✓	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	(sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64))))
✓	cost-diff	0	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))) v))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))) v)

Rules

122×	`-lowering-.f32`
122×	`-lowering-.f64`
122×	`accelerator-lowering-fma.f32`
122×	`accelerator-lowering-fma.f64`
84×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	129
1	49	125
2	72	125
3	132	125
4	158	125
5	207	125
6	241	125
7	250	125
8	288	125
9	344	125
0	344	120

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan (* (/ 1 (sqrt (/ H -5/98))) v))
(* (/ 1 (sqrt (/ H -5/98))) v)
(/ 1 (sqrt (/ H -5/98)))
1
(sqrt (/ H -5/98))
(/ H -5/98)
H
-5/98
v
(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 (/ (* (sqrt 5/98) v) (sqrt (- 0 H))))
(/ (* (sqrt 5/98) v) (sqrt (- 0 H)))
(* (sqrt 5/98) v)
(sqrt 5/98)
5/98
v
(sqrt (- 0 H))
(- 0 H)
0
H
(atan (+ (* H (/ 49/5 (* v v))) 1))
(+ (* H (/ 49/5 (* v v))) 1)
H
(/ 49/5 (* v v))
49/5
(* v v)
v
1

Outputs
(atan (* (/ 1 (sqrt (/ H -5/98))) v))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))))
(* (/ 1 (sqrt (/ H -5/98))) v)
(/.f64 v (sqrt.f64 (/.f64 H #s(literal -5/98 binary64))))
(/ 1 (sqrt (/ H -5/98)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64))))
1
#s(literal 1 binary64)
(sqrt (/ H -5/98))
(sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))
(/ H -5/98)
(/.f64 H #s(literal -5/98 binary64))
H
-5/98
#s(literal -5/98 binary64)
v
(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 (/ (* (sqrt 5/98) v) (sqrt (- 0 H))))
(atan.f64 (/.f64 (fma.f64 v (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) H))))
(/ (* (sqrt 5/98) v) (sqrt (- 0 H)))
(/.f64 (fma.f64 v (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) H)))
(* (sqrt 5/98) v)
(fma.f64 v (sqrt.f64 #s(literal 5/98 binary64)) #s(literal 0 binary64))
(sqrt 5/98)
(sqrt.f64 #s(literal 5/98 binary64))
5/98
#s(literal 5/98 binary64)
v
(sqrt (- 0 H))
(sqrt.f64 (-.f64 #s(literal 0 binary64) H))
(- 0 H)
(-.f64 #s(literal 0 binary64) H)
0
#s(literal 0 binary64)
H
(atan (+ (* H (/ 49/5 (* v v))) 1))
(atan.f64 (fma.f64 #s(literal 49/5 binary64) (/.f64 H (fma.f64 v v #s(literal 0 binary64))) #s(literal 1 binary64)))
(+ (* H (/ 49/5 (* v v))) 1)
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (fma.f64 v v #s(literal 0 binary64))) #s(literal 1 binary64))
H
(/ 49/5 (* v v))
(/.f64 #s(literal 49/5 binary64) (fma.f64 v v #s(literal 0 binary64)))
49/5
#s(literal 49/5 binary64)
(* v v)
(fma.f64 v v #s(literal 0 binary64))
v
1
#s(literal 1 binary64)

localize177.0ms (1.7%)

Memory

12.1MiB live, 128.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	94.4%	(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 5/98 binary64))
✓	accuracy	100.0%	(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H))))
✓	accuracy	99.7%	(/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H)))
✓	accuracy	99.5%	(*.f64 (sqrt.f64 #s(literal 5/98 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	99.8%	(sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))
✓	accuracy	99.8%	(/.f64 H #s(literal -5/98 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))) v)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64))))

Samples

97.0ms	186×	0	valid
17.0ms	69×	0	invalid
1.0ms	1×	5	exit

Compiler

Compiled 130 to 31 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-sqrt: 35.0ms (45.8% of total)

const: 14.0ms (18.3% of total)

ival-div: 10.0ms (13.1% of total)

ival-mult: 8.0ms (10.5% of total)

ival-atan: 6.0ms (7.8% of total)

ival-add: 2.0ms (2.6% of total)

ival-sub: 1.0ms (1.3% 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)

series33.0ms (0.3%)

Memory

1.4MiB live, 38.4MiB allocated

Counts

18 → 312

Calls

Call 1

Inputs
#<alt (* (/ 1 (sqrt (/ H -5/98))) v)>
#<alt (atan (* (/ 1 (sqrt (/ H -5/98))) v))>
#<alt (/ 1 (sqrt (/ H -5/98)))>
#<alt (sqrt (/ H -5/98))>
#<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 (atan (/ (* (sqrt 5/98) v) (sqrt (- 0 H))))>
#<alt (/ (* (sqrt 5/98) v) (sqrt (- 0 H)))>
#<alt (sqrt 5/98)>
#<alt (sqrt (- 0 H))>
#<alt (atan (+ (* H (/ 49/5 (* v v))) 1))>
#<alt (+ (* H (/ 49/5 (* v v))) 1)>
#<alt (/ 49/5 (* v v))>
#<alt (* v v)>
#<alt (/ H -5/98)>
#<alt (* (sqrt 5/98) v)>

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

Calls

78 calls:

Time	Variable		Point	Expression
11.0ms	H	@	0	(+ (* H (/ 49/5 (* v v))) 1)
5.0ms	H	@	-inf	(/ v (+ (* H (/ -49/5 v)) v))
2.0ms	v	@	0	(+ (* H (/ -49/5 v)) v)
1.0ms	v	@	0	(/ (* (sqrt 5/98) v) (sqrt (- 0 H)))
1.0ms	H	@	0	(/ (* (sqrt 5/98) v) (sqrt (- 0 H)))

rewrite563.0ms (5.3%)

Memory

4.8MiB live, 565.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 254×	`accelerator-lowering-fma.f32`
7 254×	`accelerator-lowering-fma.f64`
4 878×	`-lowering-.f32`
4 878×	`-lowering-.f64`
3 546×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	112
1	137	103
2	837	102
3	7798	102
0	8803	97

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 722

Calls

Call 1

Inputs
(* (/ 1 (sqrt (/ H -5/98))) v)
(atan (* (/ 1 (sqrt (/ H -5/98))) v))
(/ 1 (sqrt (/ H -5/98)))
(sqrt (/ H -5/98))
(atan (/ v (+ (* H (/ -49/5 v)) v)))
(/ v (+ (* H (/ -49/5 v)) v))
(+ (* H (/ -49/5 v)) v)
(/ -49/5 v)
(atan (/ (* (sqrt 5/98) v) (sqrt (- 0 H))))
(/ (* (sqrt 5/98) v) (sqrt (- 0 H)))
(sqrt 5/98)
(sqrt (- 0 H))
(atan (+ (* H (/ 49/5 (* v v))) 1))
(+ (* H (/ 49/5 (* v v))) 1)
(/ 49/5 (* v v))
(* v v)
(/ H -5/98)
(* (sqrt 5/98) v)

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

simplify515.0ms (4.9%)

Memory

-3.3MiB live, 629.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 010×	`accelerator-lowering-fma.f32`
8 010×	`accelerator-lowering-fma.f64`
5 852×	`-lowering-.f32`
5 852×	`-lowering-.f64`
2 506×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	205	2796
1	510	2770
2	1251	2754
3	3888	2750
0	8662	2630

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

Outputs
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt (/ 1 H)) (/ (sqrt -1) (sqrt 98/5)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(.f64 (sqrt.f64 H) (.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 binary64)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
(* -5/49 (/ (pow v 2) H))
(/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H)
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(.f64 v (.f64 v (fma.f64 v (.f64 v (/.f64 #s(literal -25/2401 binary64) (.f64 H H))) (/.f64 #s(literal -5/49 binary64) H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H))
(* (sqrt H) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H))
(* -1 (* (sqrt H) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 H)))
(* -1 (* (sqrt H) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 H)))
(* -1 (* (sqrt H) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 H)))
(* -1 (* (sqrt H) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 H)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (- 1 (* -49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan (+ 1 (* 49/5 (/ H (pow v 2)))))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
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 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #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))
(* 49/5 (/ H (pow v 2)))
(/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* 49/5 (/ H (pow v 2)))
(/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(* 49/5 (/ H (pow v 2)))
(/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (fma.f64 H #s(literal 49/5 binary64) (.f64 v v)) (.f64 v v))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (fma.f64 H #s(literal 49/5 binary64) (.f64 v v)) (.f64 v v))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (fma.f64 H #s(literal 49/5 binary64) (.f64 v v)) (.f64 v v))
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 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #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
#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 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #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))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(/ 49/5 (pow v 2))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(* -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))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))
(* v (sqrt 5/98))
(*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))

eval146.0ms (1.4%)

Memory: 11.7MiB live, 214.7MiB allocated
Compiler: Compiled 18 455 to 2 542 computations (86.2% saved)

prune99.0ms (0.9%)

Memory

11.0MiB live, 248.0MiB allocated

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	1 033	1	1 034
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	1 033	12	1 045

Accuracy

100.0%

Counts

1 045 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.0%	(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
	11.0%	(atan.f64 (/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H))
✓	40.6%	(atan.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v) (sqrt.f64 (-.f64 #s(literal 0 binary64) H))))
✓	37.2%	(atan.f64 (/.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)))
✓	67.3%	(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
✓	40.7%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	40.7%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 H #s(literal -5/98 binary64)))) v))
✓	40.7%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 H #s(literal -98/5 binary64)))) v))
✓	67.3%	(atan.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 H #s(literal -98/5 binary64))))) v))
✓	40.7%	(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)) v))
✓	34.5%	(atan.f64 #s(literal 1 binary64))
✓	34.4%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 478 to 215 computations (55% saved)

regimes41.0ms (0.4%)

Memory

12.9MiB live, 87.2MiB allocated

Counts

25 → 3

Calls

Call 1

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

10.0ms	H
9.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
7.0ms	v
7.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
7.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
99.8%	3	`v`
72.3%	3	`H`
83.0%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
83.0%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
72.3%	3	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes5.0ms (0.1%)

Memory

-30.6MiB live, 7.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
89.7%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.6%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-8.4MiB live, 33.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(atan.f64 (fma.f64 H (/.f64 #s(literal 49/5 binary64) (fma.f64 v v #s(literal 0 binary64))) #s(literal 1 binary64)))

Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H))
(atan.f64 #s(literal 1 binary64))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
42.3%	3	`H`
42.3%	3	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`
52.1%	2	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
52.1%	2	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
69.3%	3	`v`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes2.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.1%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch16.0ms (0.2%)

Memory

-5.5MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
13.0ms	4.412319968009989e+76	9.504691811291179e+76
2.0ms	-2.7459264094917284e+154	-9.25829465329509e+150

Samples

12.0ms	96×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 126 to 100 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 4.0ms (43.1% of total)

ival-mult: 2.0ms (21.5% of total)

ival-div: 1.0ms (10.8% of total)

ival-atan: 1.0ms (10.8% of total)

const: 1.0ms (10.8% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory

17.4MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.017191047474163e-75	6.5321502187276246e-74
15.0ms	-6.665775747252641e+45	-1.9179114196009065e+44

Samples

18.0ms	208×	0	valid
2.0ms	24×	0	invalid

Compiler

Compiled 255 to 203 computations (20.4% saved)

Precisions

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

ival-mult: 5.0ms (34.5% of total)

const: 3.0ms (20.7% of total)

ival-div: 2.0ms (13.8% of total)

ival-atan: 2.0ms (13.8% of total)

ival-sqrt: 2.0ms (13.8% of total)

ival-sub: 1.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory

-53.3MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.017191047474163e-75	6.5321502187276246e-74
15.0ms	-6.665775747252641e+45	-1.9179114196009065e+44

Samples

17.0ms	208×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 213 to 185 computations (13.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 4.0ms (30.7% of total)

const: 3.0ms (23% of total)

ival-atan: 2.0ms (15.4% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-div: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Memory

9.6MiB live, 86.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	9.480482109417583e-107	2.6475399493756354e-98
16.0ms	-4.341115950622073e-182	-5.445904525123078e-183

Samples

22.0ms	240×	0	valid
6.0ms	85×	0	invalid

Compiler

Compiled 273 to 226 computations (17.2% saved)

Precisions

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

ival-mult: 6.0ms (32.2% of total)

const: 5.0ms (26.8% of total)

ival-div: 2.0ms (10.7% of total)

ival-atan: 2.0ms (10.7% of total)

ival-sqrt: 2.0ms (10.7% of total)

ival-sub: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory

-2.4MiB live, 79.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-3.499890028705353e-300	5.0699696728436753e-306

Samples

14.0ms	160×	0	valid
6.0ms	63×	0	invalid

Compiler

Compiled 118 to 116 computations (1.7% saved)

Precisions

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

ival-mult: 6.0ms (41.2% of total)

const: 3.0ms (20.6% of total)

ival-div: 2.0ms (13.7% of total)

ival-sqrt: 2.0ms (13.7% of total)

ival-atan: 1.0ms (6.9% of total)

ival-sub: 1.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

-12.2MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	98
1	57	98

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4137729326929425/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3055553964501729/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -401786770550281/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (atan.f64 (/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

Outputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 95000000000000002863774732852029335427854121033570389738444746798740535246848 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4137729326929425/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4137729326929425/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3055553964501729/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -195000000000000013240246614634307269691441152 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3055553964501729/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 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 -401786770550281/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (atan.f64 (/.f64 (fma.f64 #s(literal -5/49 binary64) (*.f64 v v) #s(literal 0 binary64)) H)) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness656.0ms (6.2%)

Memory

40.5MiB live, 669.3MiB allocated

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
10 028×	`accelerator-lowering-fma.f32`
10 028×	`accelerator-lowering-fma.f64`
8 054×	`-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
0	323	1843
1	933	1797
2	3166	1774
3	7239	1741
0	8256	1626
0	205	2796
1	510	2770
2	1251	2754
3	3888	2750
0	8662	2630
0	686	7575
1	2090	7353
2	6899	7299
0	8084	6899

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 207 to 141 computations (31.9% saved)

preprocess64.0ms (0.6%)

Memory: -35.5MiB live, 161.9MiB allocated
Compiler: Compiled 230 to 128 computations (44.3% 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	24	185
1	37	175
2	57	175
3	101	175
4	110	175
5	120	175
6	120	175
7	130	175
8	147	175
9	160	175
10	166	175
11	166	175
12	168	175
0	168	163

Iter	Nodes	Cost
0	29	129
1	49	125
2	72	125
3	132	125
4	158	125
5	207	125
6	241	125
7	250	125
8	288	125
9	344	125
0	344	120

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	24	185
1	37	175
2	57	175
3	101	175
4	110	175
5	120	175
6	120	175
7	130	175
8	147	175
9	160	175
10	166	175
11	166	175
12	168	175
0	168	163

Iter	Nodes	Cost
0	29	129
1	49	125
2	72	125
3	132	125
4	158	125
5	207	125
6	241	125
7	250	125
8	288	125
9	344	125
0	344	120

analyze34.0ms (0.3%)

sample1.3s (12%)

preprocess57.0ms (0.5%)

explain204.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify33.0ms (0.3%)

localize43.0ms (0.4%)

series16.0ms (0.1%)

rewrite434.0ms (4.1%)

simplify510.0ms (4.8%)

eval63.0ms (0.6%)

prune124.0ms (1.2%)

simplify249.0ms (2.4%)

localize139.0ms (1.3%)

series32.0ms (0.3%)

rewrite767.0ms (7.2%)

simplify569.0ms (5.4%)

eval1.1s (10.2%)

prune574.0ms (5.4%)

simplify12.0ms (0.1%)

localize119.0ms (1.1%)

series15.0ms (0.1%)

rewrite414.0ms (3.9%)

simplify606.0ms (5.7%)

eval397.0ms (3.8%)

prune297.0ms (2.8%)

simplify33.0ms (0.3%)

localize177.0ms (1.7%)

series33.0ms (0.3%)

rewrite563.0ms (5.3%)

simplify515.0ms (4.9%)

eval146.0ms (1.4%)

prune99.0ms (0.9%)

regimes41.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes16.0ms (0.2%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch41.0ms (0.4%)

bsearch42.0ms (0.4%)

bsearch29.0ms (0.3%)

simplify10.0ms (0.1%)

soundness656.0ms (6.2%)

preprocess64.0ms (0.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	24	185
1	37	175
2	57	175
3	101	175
4	110	175
5	120	175
6	120	175
7	130	175
8	147	175
9	160	175
10	166	175
11	166	175
12	168	175
0	168	163

Iter	Nodes	Cost
0	29	129
1	49	125
2	72	125
3	132	125
4	158	125
5	207	125
6	241	125
7	250	125
8	288	125
9	344	125
0	344	120