Metrics for Optimal throwing angle

analyze56.0ms (0.5%)

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 16 to 12 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (45.1% of total)

...c/correct-round.rkt:119:19: 5.0ms (20.5% of total)

ival-sqrt: 3.0ms (12.3% of total)

ival-sub: 2.0ms (8.2% of total)

ival-atan: 2.0ms (8.2% of total)

ival-div: 1.0ms (4.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.3s (12.4%)

Results

1.0s	8256×	0	valid
7.0ms	80×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 653.0ms

ival-mult: 218.0ms (33.4% of total)

...c/correct-round.rkt:119:19: 132.0ms (20.2% of total)

ival-atan: 91.0ms (13.9% of total)

ival-div: 85.0ms (13% of total)

ival-sqrt: 70.0ms (10.7% of total)

ival-sub: 42.0ms (6.4% of total)

const: 11.0ms (1.7% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess100.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

880×	`fnmadd-define`
684×	`fmsub-define`
640×	`fnmsub-define`
598×	`fma-define`
548×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	66
1	80	64
2	158	58
3	338	58
4	797	58
5	1342	58
6	2039	58
7	2784	58
8	2975	58
9	3080	58
10	3189	58
11	3237	58
0	12	10
1	22	10
2	33	9
3	49	9
4	72	9
5	118	9
6	214	9
7	374	9
8	539	9
9	815	9
10	1054	9
11	1317	9
12	1422	9
13	1469	9
14	1516	9
15	1540	9
0	1540	9

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

Call 2

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

Outputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan (* v (rsqrt (fma H -98/5 (square v)))))
(atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H)))))
(atan (* (neg v) (rsqrt (fma H -98/5 (square v)))))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H))))))
(atan (* v (rsqrt (fma 98/5 H (square v)))))
(neg (atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H))))))
(neg (atan (* (neg v) (rsqrt (fma H -98/5 (square v))))))
(neg (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H)))))))
(neg (atan (* v (rsqrt (fma 98/5 H (square v))))))
(atan (/ H (sqrt (- (* H H) (* (* 2 49/5) v)))))
(atan (* H (rsqrt (fma v -98/5 (square H)))))

explain147.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

86.0ms	500×	0	valid
14.0ms	12×	5	exit

Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions

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

ival-mult: 14.0ms (28.6% of total)

...c/correct-round.rkt:119:19: 13.0ms (26.6% of total)

ival-atan: 6.0ms (12.3% of total)

ival-sqrt: 6.0ms (12.3% of total)

ival-div: 4.0ms (8.2% of total)

ival-sub: 3.0ms (6.1% of total)

backward-pass: 2.0ms (4.1% of total)

const: 1.0ms (2% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	(/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
✓	cost-diff	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))

Rules

6×	`fma-lowering-fma.f32`
6×	`fma-define`
6×	`-lowering-.f32`
6×	`-lowering-.f64`
6×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	13	36
2	15	36
0	15	36

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))
(* v v)
(* H -98/5)
H
-98/5

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

localize68.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.8%	(/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	68.4%	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))

Results

49.0ms	250×	0	valid
6.0ms	6×	5	exit

Compiler

Compiled 48 to 10 computations (79.2% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (25.1% of total)

ival-mult: 5.0ms (25.1% of total)

ival-atan: 3.0ms (15.1% of total)

ival-div: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

backward-pass: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

const: 0.0ms (0% of total)

series16.0ms (0.1%)

Counts

5 → 108

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 (* H -98/5)>

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -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
3.0ms	H	@	-inf	(/ v (sqrt (+ (* v v) (* H -98/5))))
2.0ms	v	@	0	(/ v (sqrt (+ (* v v) (* H -98/5))))
2.0ms	H	@	-inf	(sqrt (+ (* v v) (* H -98/5)))
1.0ms	H	@	inf	(/ v (sqrt (+ (* v v) (* H -98/5))))
1.0ms	H	@	0	(/ v (sqrt (+ (* v v) (* H -98/5))))

rewrite289.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3026×	`-lowering-.f32`
3026×	`-lowering-.f64`
1716×	`sum5-define`
1684×	`pow-lowering-pow.f64`
1684×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	38	31
2	276	31
3	2785	31
0	8187	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 170

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))
(* H -98/5)

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

simplify319.0ms (3%)

Algorithm

1×	egg-herbie

Rules

5962×	`-lowering-.f32`
5962×	`-lowering-.f64`
2986×	`+-lowering-+.f64`
2986×	`+-lowering-+.f32`
2638×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	1685
1	1004	1540
2	3661	1524
0	8173	1524

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)))))
(* -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) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt H) (sqrt -98/5))
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v
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v
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(*.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 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (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 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(.f64 H (+.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 #s(literal 1/16 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 (+.f64 (.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 (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 (+.f64 (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -5/784 binary64)))) (-.f64 #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 (+.f64 (+.f64 (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -5/784 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v)))))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) 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)

eval36.0ms (0.3%)

Compiler: Compiled 8118 to 1143 computations (85.9% saved)

prune57.0ms (0.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	258	20	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	258	21	279

Accuracy

99.3%

Counts

279 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	66.3%	(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
	66.3%	(atan.f64 (/.f64 v (pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	21.2%	(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
	36.6%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
	36.8%	(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
▶	39.2%	(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
	17.9%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64))) (.f64 (+.f64 (.f64 v v) (.f64 H #s(literal 98/5 binary64))) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))))
	38.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
▶	38.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
✓	66.5%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	48.5%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v))))))))
	38.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	66.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
	32.5%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
▶	66.5%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
	66.4%	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
▶	66.5%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
	33.1%	(atan.f64 #s(literal 1 binary64))
▶	36.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 787 to 487 computations (38.1% saved)

simplify196.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64))))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
✓	cost-diff	0	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))
✓	cost-diff	384	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))
✓	cost-diff	384	(/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))
✓	cost-diff	384	(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))
✓	cost-diff	0	(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
✓	cost-diff	0	(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))

Rules

2274×	`sum3-define`
1880×	`fmm-def`
1876×	`fma-lowering-fma.f32`
1876×	`fma-lowering-fma.f64`
1760×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	264
1	77	243
2	129	243
3	250	236
4	755	231
5	2249	231
6	4530	231
7	7919	231
0	8444	231

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
v
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
1
(+ (* -98/5 H) (* v v))
(* -98/5 H)
-98/5
H
(* v v)
(atan -1)
-1
(atan (/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))))
(/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v)))
v
(* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))
(+ 1 (* (/ H (* v v)) -49/5))
1
(* (/ H (* v v)) -49/5)
(/ H (* v v))
H
(* v v)
-49/5
(- 0 v)
0
(atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))
(* (pow (+ (* v v) (* H -98/5)) -1/2) v)
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5
-1/2
(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))))
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))))
v
(sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))
(+ (* v (* v (* v v))) (* (* H H) -9604/25))
(* v (* v (* v v)))
(* v (* v v))
(* v v)
(* (* H H) -9604/25)
(* H H)
H
-9604/25
(+ (* v v) (* H 98/5))
(* H 98/5)
98/5

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

localize330.0ms (3.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 H #s(literal 98/5 binary64))
✓	accuracy	92.3%	(+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
✓	accuracy	68.4%	(sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))
✓	accuracy	45.7%	(/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.7%	(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	68.3%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))
✓	accuracy	99.6%	(.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))
✓	accuracy	92.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))
✓	accuracy	89.9%	(/.f64 H (*.f64 v v))
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	99.7%	(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
✓	accuracy	99.3%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	97.8%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))
✓	accuracy	70.6%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))

Results

239.0ms	250×	0	valid
24.0ms	6×	5	exit

Compiler

Compiled 334 to 42 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 23.0ms (24.5% of total)

...c/correct-round.rkt:119:19: 19.0ms (20.3% of total)

ival-div: 15.0ms (16% of total)

ival-atan: 12.0ms (12.8% of total)

ival-pow: 7.0ms (7.5% of total)

ival-add: 7.0ms (7.5% of total)

ival-sqrt: 6.0ms (6.4% of total)

backward-pass: 3.0ms (3.2% of total)

ival-sub: 1.0ms (1.1% of total)

const: 1.0ms (1.1% of total)

series34.0ms (0.3%)

Counts

23 → 492

Calls

Call 1

Inputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))>
#<alt (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))>
#<alt (sqrt (/ 1 (+ (* -98/5 H) (* v v))))>
#<alt (/ 1 (+ (* -98/5 H) (* v v)))>
#<alt (atan -1)>
#<alt (atan (/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))))>
#<alt (/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v)))>
#<alt (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))>
#<alt (+ 1 (* (/ H (* v v)) -49/5))>
#<alt (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))>
#<alt (* (pow (+ (* v v) (* H -98/5)) -1/2) v)>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))))>
#<alt (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))))>
#<alt (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))>
#<alt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))>
#<alt (* -98/5 H)>
#<alt (/ H (* v v))>
#<alt (* (/ H (* v v)) -49/5)>
#<alt (* H -98/5)>
#<alt (+ (* v (* v (* v v))) (* (* H H) -9604/25))>
#<alt (* H 98/5)>

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

Calls

123 calls:

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

rewrite365.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
2310×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	211
1	207	187
2	1700	187
0	8996	187

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 620

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
(atan -1)
(atan (/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))))
(/ v (* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v)))
(* (+ 1 (* (/ H (* v v)) -49/5)) (- 0 v))
(+ 1 (* (/ H (* v v)) -49/5))
(atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))
(* (pow (+ (* v v) (* H -98/5)) -1/2) v)
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(atan (/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))))
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))))
(sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5))))
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* v v) (* H 98/5)))
(* -98/5 H)
(/ H (* v v))
(* (/ H (* v v)) -49/5)
(* H -98/5)
(+ (* v (* v (* v v))) (* (* H H) -9604/25))
(* H 98/5)

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

simplify390.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5884×	`-lowering-.f32`
5884×	`-lowering-.f64`
1982×	`+-lowering-+.f64`
1982×	`+-lowering-+.f32`
1660×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	607	7273
1	1927	6507
2	6467	6485
0	8191	6485

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

eval188.0ms (1.8%)

Compiler: Compiled 29832 to 3559 computations (88.1% saved)

prune162.0ms (1.5%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1095	17	1112
Fresh	7	8	15
Picked	2	3	5
Done	0	1	1
Total	1104	29	1133

Accuracy

100.0%

Counts

1133 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.2%	(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
▶	66.5%	(atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	39.2%	(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
	10.9%	(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
	11.4%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
▶	15.3%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
	28.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
	11.4%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
	36.6%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
	36.8%	(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
▶	11.4%	(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
	39.2%	(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
	35.6%	(atan.f64 (/.f64 v (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))) #s(literal 2401/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
✓	38.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
✓	66.5%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	38.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	66.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
▶	32.5%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
✓	66.5%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
	48.6%	(atan.f64 (.f64 (pow.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal -1/2 binary64)) v))
	38.0%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
	19.2%	(atan.f64 (.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
	21.7%	(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
	19.2%	(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
	38.7%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
▶	33.1%	(atan.f64 #s(literal 1 binary64))
✓	36.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1066 to 669 computations (37.2% saved)

simplify229.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))
✓	cost-diff	512	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))
✓	cost-diff	640	(/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
✓	cost-diff	640	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	cost-diff	256	(.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))
✓	cost-diff	256	(+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v))))))
✓	cost-diff	256	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
✓	cost-diff	0	(/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v))
✓	cost-diff	384	(.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))
✓	cost-diff	384	(/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v)))
✓	cost-diff	384	(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
✓	cost-diff	0	(atan.f64 #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	128	(/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
✓	cost-diff	128	(atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))

Rules

4436×	`-lowering-.f32`
4436×	`-lowering-.f64`
1862×	`/-lowering-/.f32`
1862×	`/-lowering-/.f64`
1692×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	449
1	157	399
2	555	386
3	3149	357
4	7989	357
0	8106	357

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5
-1/2
(/ 1 v)
1
(atan 1)
1
(atan (/ v (* (/ (* H -49/5) (* v v)) (- 0 v))))
(/ v (* (/ (* H -49/5) (* v v)) (- 0 v)))
v
(* (/ (* H -49/5) (* v v)) (- 0 v))
(/ (* H -49/5) (* v v))
(* H -49/5)
H
-49/5
(* v v)
(- 0 v)
0
(atan (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))))
(+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))))
1
(* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))
H
(+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))
(/ 49/5 (* v v))
49/5
(* v v)
v
(/ (* H 7203/50) (* (* v v) (* v v)))
(* H 7203/50)
7203/50
(* (* v v) (* v v))
(atan (/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))))
(/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))))
v
(/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))
(* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))))
(- 0 (* v v))
0
(* v v)
(+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))
1
(/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))
(* (* H (* H H)) -117649/125)
(* H (* H H))
H
(* H H)
-117649/125
(* (* v v) (* v (* v (* v v))))
(* v (* v (* v v)))
(* v (* v v))
(* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))
(+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))
(* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))
(/ -49/5 (/ (* v v) H))
-49/5
(/ (* v v) H)
(- (/ -49/5 (/ (* v v) H)) 1)

Outputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(atan.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(pow (+ (* v v) (* H -98/5)) -1/2)
(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(+ (* v v) (* H -98/5))
(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
(* v v)
(*.f64 v v)
v
(* H -98/5)
(*.f64 H #s(literal -98/5 binary64))
H
-98/5
#s(literal -98/5 binary64)
-1/2
#s(literal -1/2 binary64)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan (/ v (* (/ (* H -49/5) (* v v)) (- 0 v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(/ v (* (/ (* H -49/5) (* v v)) (- 0 v)))
(/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))
v
(* (/ (* H -49/5) (* v v)) (- 0 v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(/ (* H -49/5) (* v v))
(/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
H
-49/5
#s(literal -49/5 binary64)
(* v v)
(*.f64 v v)
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
(atan (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (+.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 #s(literal 7203/50 binary64) (/.f64 H v)) v)))))
(+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (+.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 #s(literal 7203/50 binary64) (/.f64 H v)) v))))
1
#s(literal 1 binary64)
(* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))
(.f64 (/.f64 H (.f64 v v)) (+.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 #s(literal 7203/50 binary64) (/.f64 H v)) v)))
H
(+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))
(+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 7203/50 binary64) (/.f64 H v)) v) v) v))
(/ 49/5 (* v v))
(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
49/5
#s(literal 49/5 binary64)
(* v v)
(*.f64 v v)
v
(/ (* H 7203/50) (* (* v v) (* v v)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 7203/50 binary64) (/.f64 H v)) v) v) v)
(* H 7203/50)
(*.f64 H #s(literal 7203/50 binary64))
7203/50
#s(literal 7203/50 binary64)
(* (* v v) (* v v))
(.f64 v (.f64 v (*.f64 v v)))
(atan (/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))))
(atan.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (/.f64 v (/.f64 H v))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H (.f64 (.f64 H (/.f64 H (.f64 v v))) #s(literal -117649/125 binary64))) v) (.f64 v (*.f64 v v))))))
(/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (/.f64 v (/.f64 H v))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H (.f64 (.f64 H (/.f64 H (.f64 v v))) #s(literal -117649/125 binary64))) v) (.f64 v (*.f64 v v)))))
v
(/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))
(/.f64 (.f64 v (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (.f64 H (.f64 H H)) (.f64 v (.f64 v v))) (.f64 v (.f64 v v))) #s(literal 117649/125 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (/.f64 v (/.f64 H v)))))
(* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))))
(-.f64 #s(literal 0 binary64) (+.f64 (.f64 v v) (.f64 v (/.f64 (.f64 H (.f64 H (.f64 H #s(literal -117649/125 binary64)))) (.f64 v (.f64 v (.f64 v (*.f64 v v))))))))
(- 0 (* v v))
(-.f64 #s(literal 0 binary64) (*.f64 v v))
0
#s(literal 0 binary64)
(* v v)
(*.f64 v v)
(+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H (.f64 (.f64 H (/.f64 H (.f64 v v))) #s(literal -117649/125 binary64))) v) (.f64 v (.f64 v v))))
1
#s(literal 1 binary64)
(/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))
(/.f64 (/.f64 (.f64 H (.f64 (.f64 H (/.f64 H (.f64 v v))) #s(literal -117649/125 binary64))) v) (.f64 v (.f64 v v)))
(* (* H (* H H)) -117649/125)
(.f64 H (.f64 H (*.f64 H #s(literal -117649/125 binary64))))
(* H (* H H))
(.f64 H (.f64 H H))
H
(* H H)
(*.f64 H H)
-117649/125
#s(literal -117649/125 binary64)
(* (* v v) (* v (* v (* v v))))
(.f64 (.f64 v (.f64 v v)) (.f64 v (*.f64 v v)))
(* v (* v (* v v)))
(.f64 v (.f64 v (*.f64 v v)))
(* v (* v v))
(.f64 v (.f64 v v))
(* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))
(+.f64 v (.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (.f64 #s(literal 1 binary64) (/.f64 H v))))
(+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (/.f64 v (/.f64 H v))))
(* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))
(/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 #s(literal 2401/25 binary64) (/.f64 H (.f64 v v)))) (/.f64 v (/.f64 H v)))
(/ -49/5 (/ (* v v) H))
(/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))
-49/5
#s(literal -49/5 binary64)
(/ (* v v) H)
(/.f64 v (/.f64 H v))
(- (/ -49/5 (/ (* v v) H)) 1)
(+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64))

localize419.0ms (4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.0%	(/.f64 (*.f64 v v) H)
✓	accuracy	86.7%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))))
✓	accuracy	76.8%	(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))))
✓	accuracy	44.8%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))
✓	accuracy	98.2%	(/.f64 #s(literal 49/5 binary64) (*.f64 v v))
✓	accuracy	96.1%	(/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))
✓	accuracy	91.8%	(.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))
✓	accuracy	84.8%	(+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	accuracy	99.8%	(/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v)))
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	89.4%	(/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v))
✓	accuracy	75.0%	(.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	accuracy	99.8%	(/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	68.3%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))

Results

279.0ms	250×	0	valid
32.0ms	6×	5	exit

Compiler

Compiled 583 to 52 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-mult: 54.0ms (34.2% of total)

ival-atan: 31.0ms (19.6% of total)

ival-div: 25.0ms (15.8% of total)

...c/correct-round.rkt:119:19: 23.0ms (14.5% of total)

ival-pow: 10.0ms (6.3% of total)

ival-add: 7.0ms (4.4% of total)

backward-pass: 4.0ms (2.5% of total)

ival-sub: 4.0ms (2.5% of total)

const: 1.0ms (0.6% of total)

series56.0ms (0.5%)

Counts

24 → 516

Calls

Call 1

Inputs
#<alt (atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))>
#<alt (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan 1)>
#<alt (atan (/ v (* (/ (* H -49/5) (* v v)) (- 0 v))))>
#<alt (/ v (* (/ (* H -49/5) (* v v)) (- 0 v)))>
#<alt (* (/ (* H -49/5) (* v v)) (- 0 v))>
#<alt (/ (* H -49/5) (* v v))>
#<alt (atan (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))))>
#<alt (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))))>
#<alt (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))>
#<alt (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))>
#<alt (atan (/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))))>
#<alt (/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))))>
#<alt (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))>
#<alt (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))>
#<alt (* H -98/5)>
#<alt (* H -49/5)>
#<alt (/ (* H 7203/50) (* (* v v) (* v v)))>
#<alt (/ 49/5 (* v v))>
#<alt (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))>
#<alt (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))))>
#<alt (/ (* v v) H)>

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

Calls

129 calls:

Time	Variable		Point	Expression
8.0ms	H	@	0	(atan (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))))
5.0ms	H	@	inf	(* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))
4.0ms	v	@	0	(/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))
2.0ms	H	@	-inf	(/ (* v v) H)
2.0ms	H	@	inf	(/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))

rewrite607.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3810×	`-lowering-.f32`
3810×	`-lowering-.f64`
2888×	`/-lowering-/.f32`
2888×	`/-lowering-/.f64`
2484×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	325
1	328	277
2	3649	272
0	8781	272

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 673

Calls

Call 1

Inputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(atan 1)
(atan (/ v (* (/ (* H -49/5) (* v v)) (- 0 v))))
(/ v (* (/ (* H -49/5) (* v v)) (- 0 v)))
(* (/ (* H -49/5) (* v v)) (- 0 v))
(/ (* H -49/5) (* v v))
(atan (+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))))
(+ 1 (* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))))
(* H (+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v)))))
(+ (/ 49/5 (* v v)) (/ (* H 7203/50) (* (* v v) (* v v))))
(atan (/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))))
(/ v (/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))))
(/ (* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v))))))) (* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1)))))
(* v (+ 1 (* (/ -49/5 (/ (* v v) H)) (- (/ -49/5 (/ (* v v) H)) 1))))
(* H -98/5)
(* H -49/5)
(/ (* H 7203/50) (* (* v v) (* v v)))
(/ 49/5 (* v v))
(/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))
(* (- 0 (* v v)) (+ 1 (/ (* (* H (* H H)) -117649/125) (* (* v v) (* v (* v (* v v)))))))
(/ (* v v) H)

Outputs
(atan.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) v))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))) (.f64 (log.f64 v) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) v))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(.f64 #s(literal 1 binary64) (.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) v))
(.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/4 binary64)) (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 v 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) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 (.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) (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))) #s(literal -1/2 binary64)))
(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
(+.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(exp.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))) (/.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (+.f64 (.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))) (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
(/.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (+.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)))) (neg.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(/.f64 (neg.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal 9604/25 binary64)))) (neg.f64 (+.f64 (.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 (-.f64 (.f64 (.f64 H 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 (exp.f64 (log.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))))) (exp.f64 (log.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))))) (exp.f64 (log.f64 (+.f64 (.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(pow.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v)))) (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H)) (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (*.f64 H H) #s(literal 9604/25 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))))
(.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H))) (-.f64 #s(literal 0 binary64) v)))
(neg.f64 (atan.f64 (/.f64 v (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (*.f64 v v))))))
(neg.f64 (atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (neg.f64 (.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H))) v)))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (*.f64 v v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (.f64 v v)))) (/.f64 v (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (.f64 v v)))))
(neg.f64 (/.f64 v (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
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(fma.f64 (.f64 (.f64 v v) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v (.f64 v v)))) (neg.f64 (.f64 (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))
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(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (-.f64 #s(literal 0 binary64) (.f64 v v))) (.f64 (neg.f64 (.f64 (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (neg.f64 (.f64 (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (neg.f64 (.f64 (.f64 v v) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (*.f64 v v)))))))))
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(exp.f64 (.f64 (log.f64 (/.f64 H (.f64 v v))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) H)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v v) H)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v v) H)))
(/.f64 (*.f64 v v) H)
(/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v)))) (.f64 (-.f64 #s(literal 0 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (-.f64 #s(literal 0 binary64) H))
(/.f64 (.f64 (.f64 v v) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (-.f64 #s(literal 0 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) (neg.f64 (-.f64 #s(literal 0 binary64) H)))
(pow.f64 (/.f64 (*.f64 v v) H) #s(literal 1 binary64))
(pow.f64 (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 v (/.f64 v H))
(.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) H))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) H))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) H)))
(.f64 (/.f64 #s(literal 1 binary64) H) (.f64 v v))
(*.f64 (/.f64 v H) v)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v v))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) H)))

simplify392.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

6142×	`-lowering-.f32`
6142×	`-lowering-.f64`
1960×	`+-lowering-+.f64`
1960×	`+-lowering-+.f32`
1650×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	6584
1	1708	5824
2	5926	5796
0	8142	5796

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

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))))))
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(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* 49/5 (/ (* H (+ 1 (* 49/5 (/ H (pow v 2))))) (pow v 2)))) (- 1 (* 117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* 49/5 (/ (* H (+ 1 (* 49/5 (/ H (pow v 2))))) (pow v 2)))) (- 1 (* 117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* 49/5 (/ (* H (+ 1 (* 49/5 (/ H (pow v 2))))) (pow v 2)))) (- 1 (* 117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* 49/5 (/ (* H (+ 1 (* 49/5 (/ H (pow v 2))))) (pow v 2)))) (- 1 (* 117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(atan (* -1 (/ (+ 1 (* -49/5 (/ (* H (- (* -49/5 (/ H (pow v 2))) 1)) (pow v 2)))) (+ 1 (* -117649/125 (/ (pow H 3) (pow v 6)))))))
(* 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
(- (* -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))))) 1)
(* 5/49 (/ (pow v 2) H))
(/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)
(/ (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2)))) H)
(/ (+ (* 625/5764801 (/ (pow v 8) (pow H 3))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))))) H)
(* 5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H))
(* -1 (/ (+ (* -1 (/ (+ (* 125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* -5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -125/117649 (pow v 6)) (* -625/5764801 (/ (pow v 8) H))) H)) (* 25/2401 (pow v 4))) H)) (* -5/49 (pow v 2))) H))
(* 49/5 (/ H v))
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(* -1 v)
(* v (- (* 49/5 (/ H (pow v 2))) 1))
(* v (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1))
(* v (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -49/5 (/ (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2)))) (pow v 6))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))))) 1))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (- (+ 1 (* -1 (/ (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) (* 49/5 (/ H (pow v 2))))))
(* -1 (* v (- (+ 1 (* 49/5 (/ (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2)))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))))
(* -1 v)
(+ (* -1 v) (* 49/5 (/ H v)))
(+ (* -1 v) (* 49/5 (/ H v)))
(+ (* -1 v) (* 49/5 (/ H v)))
(* 49/5 (/ H v))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* H (+ (* -1 (/ v H)) (+ (* -5/49 (/ (pow v 3) (pow H 2))) (+ (* 5/49 (/ (pow v 3) (pow H 2))) (* 49/5 (/ 1 v))))))
(* H (+ (* -1 (/ v H)) (+ (* -5/49 (/ (* (pow v 2) (+ (* -5/49 (pow v 3)) (* 5/49 (pow v 3)))) (pow H 3))) (+ (* -5/49 (/ (pow v 3) (pow H 2))) (+ (* 5/49 (/ (pow v 3) (pow H 2))) (* 49/5 (/ 1 v)))))))
(* 49/5 (/ H v))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -5/49 (pow v 3)) (* 5/49 (pow v 3))) H))) H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -5/49 (/ (* (pow v 2) (+ (* -5/49 (pow v 3)) (* 5/49 (pow v 3)))) H)) (+ (* -5/49 (pow v 3)) (* 5/49 (pow v 3)))) H))) H)) (* 49/5 (/ 1 v)))))
(* 2401/25 (/ (pow H 2) (pow v 3)))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 3))
(/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* 49/5 H) (pow v 2)))) (pow v 3))
(/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* 49/5 H) (pow v 2)))) (pow v 3))
v
(* v (+ 1 (* 49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
(* v (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
v
(* -1 (* v (- (* -49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))) 1)))
(* -1 (* v (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))) 1)))
v
(+ v (* 49/5 (/ H v)))
(+ v (* H (+ (* 2401/25 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (+ (* 2401/25 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(* 2401/25 (/ (pow H 2) (pow v 3)))
(* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/25 (/ 1 (pow v 3)))))
(* (pow H 2) (+ (* 2401/25 (/ 1 (pow v 3))) (+ (/ 49/5 (* H v)) (/ v (pow H 2)))))
(* (pow H 2) (+ (* 2401/25 (/ 1 (pow v 3))) (+ (/ 49/5 (* H v)) (/ v (pow H 2)))))
(* 2401/25 (/ (pow H 2) (pow v 3)))
(* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/25 (/ 1 (pow v 3)))))
(* (pow H 2) (+ (* -1 (/ (- (* -1 (/ v H)) (* 49/5 (/ 1 v))) H)) (* 2401/25 (/ 1 (pow v 3)))))
(* (pow H 2) (+ (* -1 (/ (- (* -1 (/ v H)) (* 49/5 (/ 1 v))) H)) (* 2401/25 (/ 1 (pow v 3)))))
(* -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)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(* 7203/50 (/ H (pow v 4)))
(/ 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))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* -117649/125 (/ (pow H 3) (pow v 6)))
(* 117649/125 (/ (pow H 3) (pow v 4)))
(/ (+ (* -1 (pow v 6)) (* 117649/125 (pow H 3))) (pow v 4))
(/ (+ (* -1 (pow v 6)) (* 117649/125 (pow H 3))) (pow v 4))
(/ (+ (* -1 (pow v 6)) (* 117649/125 (pow H 3))) (pow v 4))
(* -1 (pow v 2))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* (pow v 2) (- (* 117649/125 (/ (pow H 3) (pow v 6))) 1))
(* -1 (pow v 2))
(+ (* -1 (pow v 2)) (* 117649/125 (/ (pow H 3) (pow v 4))))
(+ (* -1 (pow v 2)) (* 117649/125 (/ (pow H 3) (pow v 4))))
(+ (* -1 (pow v 2)) (* 117649/125 (/ (pow H 3) (pow v 4))))
(* 117649/125 (/ (pow H 3) (pow v 4)))
(* (pow H 3) (+ (* -1 (/ (pow v 2) (pow H 3))) (* 117649/125 (/ 1 (pow v 4)))))
(* (pow H 3) (+ (* -1 (/ (pow v 2) (pow H 3))) (* 117649/125 (/ 1 (pow v 4)))))
(* (pow H 3) (+ (* -1 (/ (pow v 2) (pow H 3))) (* 117649/125 (/ 1 (pow v 4)))))
(* 117649/125 (/ (pow H 3) (pow v 4)))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (+.f64 (.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)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.f64 v (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 v v) (+.f64 (.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 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 H) (/.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 v v)))))))
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1
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(* (pow H 3) (+ (* -1 (/ (pow v 2) (pow H 3))) (* 117649/125 (/ 1 (pow v 4)))))
(.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (*.f64 v v) H) H) H)))
(* (pow H 3) (+ (* -1 (/ (pow v 2) (pow H 3))) (* 117649/125 (/ 1 (pow v 4)))))
(.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (*.f64 v v) H) H) H)))
(* 117649/125 (/ (pow H 3) (pow v 4)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) #s(literal -1 binary64)))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) #s(literal -1 binary64)))
(* -1 (* (pow H 3) (- (/ (pow v 2) (pow H 3)) (* 117649/125 (/ 1 (pow v 4))))))
(.f64 (+.f64 (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v (.f64 v v))))) (.f64 (.f64 H (.f64 H H)) #s(literal -1 binary64)))
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)

eval206.0ms (2%)

Compiler: Compiled 42139 to 4139 computations (90.2% saved)

prune196.0ms (1.9%)

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	1220	14	1234
Fresh	6	14	20
Picked	2	3	5
Done	0	4	4
Total	1228	35	1263

Accuracy

100.0%

Counts

1263 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	38.0%	(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	10.9%	(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
	11.4%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	6.2%	(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
	10.6%	(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
	4.8%	(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
	17.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	17.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	5.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	11.4%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
	36.6%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
▶	36.8%	(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
	11.4%	(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
✓	11.4%	(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
	4.6%	(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
▶	30.4%	(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
▶	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
✓	38.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
✓	66.5%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	38.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	66.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
	9.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
	33.7%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
✓	66.5%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
	48.6%	(atan.f64 (.f64 (pow.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal -1/2 binary64)) v))
	38.0%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
	4.8%	(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
▶	11.4%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
	21.7%	(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
	19.2%	(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
	38.7%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	33.1%	(atan.f64 #s(literal 1 binary64))
✓	36.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1356 to 812 computations (40.1% saved)

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	1792	(+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64))))
✓	cost-diff	1920	(/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64))))))
✓	cost-diff	1920	(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
✓	cost-diff	2048	(.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))
✓	cost-diff	128	(.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))
✓	cost-diff	128	(+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))
✓	cost-diff	128	(/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))))
✓	cost-diff	128	(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)))
✓	cost-diff	128	(/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
✓	cost-diff	128	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
✓	cost-diff	256	(.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))
✓	cost-diff	0	(*.f64 v v)
✓	cost-diff	0	(/.f64 (*.f64 v v) H)
✓	cost-diff	0	(.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64))
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))
✓	cost-diff	128	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))

Rules

2786×	`-lowering-.f32`
2786×	`-lowering-.f64`
1880×	`sum4-define`
1480×	`fma-define`
1334×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	455
1	145	386
2	424	377
3	1643	337
4	4034	304
5	7205	304
0	8062	304

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(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 v)
v
(* H -98/5)
H
-98/5
(atan (* (/ (* v v) H) 5/49))
(* (/ (* v v) H) 5/49)
(/ (* v v) H)
(* v v)
v
H
5/49
(atan (/ v (* v (+ 1 (/ (* H -49/5) (* v v))))))
(/ v (* v (+ 1 (/ (* H -49/5) (* v v)))))
v
(* v (+ 1 (/ (* H -49/5) (* v v))))
(+ 1 (/ (* H -49/5) (* v v)))
1
(/ (* H -49/5) (* v v))
(* H -49/5)
H
-49/5
(* v v)
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
v
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
H
(+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))
(/ (* (/ H (* v v)) -2401/50) v)
(* (/ H (* v v)) -2401/50)
(/ H (* v v))
(* v v)
-2401/50
(/ -49/5 v)
-49/5
(atan (/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))))
(/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))))
v
(* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))
(+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))
(/ (* (* H H) -2401/25) (* v (* v (* v v))))
(* (* H H) -2401/25)
(* H H)
H
-2401/25
(* v (* v (* v v)))
(* v (* v v))
(* v v)
(+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))
(/ (* H 49/5) (* v v))
(* H 49/5)
49/5
(- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)
(/ (* (* H H) 2401/25) (* v (* v (* v v))))
(* (* H H) 2401/25)
2401/25
1

Outputs
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
(/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
1
#s(literal 1 binary64)
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)
(sqrt (+ (* v v) (* H -98/5)))
(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
(+ (* v v) (* H -98/5))
(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
(* v v)
(*.f64 v v)
v
(* H -98/5)
(*.f64 H #s(literal -98/5 binary64))
H
-98/5
#s(literal -98/5 binary64)
(atan (* (/ (* v v) H) 5/49))
(atan.f64 (/.f64 (.f64 v (.f64 v #s(literal 5/49 binary64))) H))
(* (/ (* v v) H) 5/49)
(/.f64 (.f64 v (.f64 v #s(literal 5/49 binary64))) H)
(/ (* v v) H)
(/.f64 (*.f64 v v) H)
(* v v)
(*.f64 v v)
v
H
5/49
#s(literal 5/49 binary64)
(atan (/ v (* v (+ 1 (/ (* H -49/5) (* v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v))))
(/ v (* v (+ 1 (/ (* H -49/5) (* v v)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
v
(* v (+ 1 (/ (* H -49/5) (* v v))))
(+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
(+ 1 (/ (* H -49/5) (* v v)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v))
1
#s(literal 1 binary64)
(/ (* H -49/5) (* v v))
(/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
H
-49/5
#s(literal -49/5 binary64)
(* v v)
(*.f64 v v)
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(atan.f64 (/.f64 v (+.f64 v (.f64 (/.f64 H v) (+.f64 #s(literal -49/5 binary64) (/.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
(/.f64 v (+.f64 v (.f64 (/.f64 H v) (+.f64 #s(literal -49/5 binary64) (/.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v)))))
v
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(+.f64 v (.f64 (/.f64 H v) (+.f64 #s(literal -49/5 binary64) (/.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
(.f64 (/.f64 H v) (+.f64 #s(literal -49/5 binary64) (/.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v)))
H
(+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v) v) (/.f64 #s(literal -49/5 binary64) v))
(/ (* (/ H (* v v)) -2401/50) v)
(/.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v) v)
(* (/ H (* v v)) -2401/50)
(/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v)
(/ H (* v v))
(/.f64 H (*.f64 v v))
(* v v)
(*.f64 v v)
-2401/50
#s(literal -2401/50 binary64)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
-49/5
#s(literal -49/5 binary64)
(atan (/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal -1 binary64))))
(/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal -1 binary64)))
v
(* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))
(-.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v)
(+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))
(+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal -1 binary64))
(/ (* (* H H) -2401/25) (* v (* v (* v v))))
(/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
(* (* H H) -2401/25)
(.f64 H (.f64 H #s(literal -2401/25 binary64)))
(* H H)
(*.f64 H H)
H
-2401/25
#s(literal -2401/25 binary64)
(* v (* v (* v v)))
(.f64 v (.f64 v (*.f64 v v)))
(* v (* v v))
(.f64 v (.f64 v v))
(* v v)
(*.f64 v v)
(+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 H (.f64 v v)) (+.f64 #s(literal 49/5 binary64) (/.f64 (.f64 H #s(literal 2401/25 binary64)) (.f64 v v)))))
(/ (* H 49/5) (* v v))
(/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v))
(* H 49/5)
(*.f64 H #s(literal 49/5 binary64))
49/5
#s(literal 49/5 binary64)
(- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)
(+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))) #s(literal -1 binary64))
(/ (* (* H H) 2401/25) (* v (* v (* v v))))
(/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
(* (* H H) 2401/25)
(.f64 H (.f64 H #s(literal 2401/25 binary64)))
2401/25
#s(literal 2401/25 binary64)
1
#s(literal 1 binary64)

localize522.0ms (4.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.2%	(+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))
✓	accuracy	81.4%	(/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v))))
✓	accuracy	80.7%	(/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v))))
✓	accuracy	68.0%	(+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64))))
✓	accuracy	99.6%	(.f64 (/.f64 H (.f64 v v)) #s(literal -2401/50 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal -49/5 binary64) v)
✓	accuracy	97.6%	(.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))
✓	accuracy	89.9%	(/.f64 H (*.f64 v v))
✓	accuracy	99.9%	(/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	92.2%	(.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))
✓	accuracy	89.4%	(/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64))
✓	accuracy	90.0%	(/.f64 (*.f64 v v) H)
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	68.4%	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))

Results

127.0ms	168×	0	valid
119.0ms	44×	2	valid
49.0ms	26×	1	valid
48.0ms	12×	3	valid
31.0ms	6×	5	exit

Compiler

Compiled 535 to 51 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-div: 48.0ms (25% of total)

...c/correct-round.rkt:119:19: 44.0ms (22.9% of total)

ival-mult: 40.0ms (20.8% of total)

backward-pass: 24.0ms (12.5% of total)

ival-atan: 15.0ms (7.8% of total)

ival-add: 12.0ms (6.2% of total)

ival-sqrt: 5.0ms (2.6% of total)

ival-sub: 4.0ms (2.1% of total)

const: 1.0ms (0.5% of total)

series67.0ms (0.6%)

Counts

29 → 640

Calls

Call 1

Inputs
#<alt (atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))>
#<alt (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))>
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (atan (* (/ (* v v) H) 5/49))>
#<alt (* (/ (* v v) H) 5/49)>
#<alt (/ (* v v) H)>
#<alt (* v v)>
#<alt (* v (+ 1 (/ (* H -49/5) (* v v))))>
#<alt (atan (/ v (* v (+ 1 (/ (* H -49/5) (* v v))))))>
#<alt (/ v (* v (+ 1 (/ (* H -49/5) (* v v)))))>
#<alt (+ 1 (/ (* H -49/5) (* v v)))>
#<alt (atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))>
#<alt (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))>
#<alt (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))>
#<alt (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))>
#<alt (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))>
#<alt (atan (/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))))>
#<alt (/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))))>
#<alt (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))>
#<alt (* H -98/5)>
#<alt (/ (* H -49/5) (* v v))>
#<alt (* H -49/5)>
#<alt (/ H (* v v))>
#<alt (/ -49/5 v)>
#<alt (* (/ H (* v v)) -2401/50)>
#<alt (/ (* (* H H) -2401/25) (* v (* v (* v v))))>
#<alt (/ (* (* H H) 2401/25) (* v (* v (* v v))))>
#<alt (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))>

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)>
#<alt (/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)>
#<alt (/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (atan (* 5/49 (/ (pow v 2) H)))>
#<alt (atan (* 5/49 (/ (pow v 2) H)))>
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#<alt (* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)))>
#<alt (atan (/ 1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ 1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ 1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ 1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ -1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ -1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ -1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (/ (pow v 4) (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))>
#<alt (* (pow v 4) (+ (* -49/5 (/ (* H (pow v 2)) (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2))) (/ 1 (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))))>
#<alt (* (pow v 4) (+ (* (pow v 2) (- (* (pow v 2) (- (/ 1 (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2)) (* -2401/25 (/ (pow H 2) (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 3))))) (* 49/5 (/ H (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2))))) (/ 1 (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))))>
#<alt (* (pow v 4) (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* 49/5 (/ H (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 3))) (* 49/5 (/ (* H (- (/ 1 (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2)) (* -2401/25 (/ (pow H 2) (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 3))))) (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2)))))))) (/ 1 (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2))) (* -2401/25 (/ (pow H 2) (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 3))))) (* 49/5 (/ H (pow (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) 2))))) (/ 1 (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -1 (/ (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -1 (/ (+ (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 4802/25 (/ (pow H 2) (pow v 4)))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -1 (/ (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -1 (/ (+ (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 4802/25 (/ (pow H 2) (pow v 4)))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* H (- (* -2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (- (* H (- (* H (- (* -117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 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 (* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (/ (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))>
#<alt (/ (+ (* -2401/25 (pow H 2)) (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2)))) (pow v 4))>
#<alt (/ (+ (* -2401/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H))))) (pow v 4))>
#<alt (/ (+ (* -2401/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H))))) (pow v 4))>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)>
#<alt (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)>
#<alt (- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)>
#<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 (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ -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 (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* -2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (- (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* (pow H 2) (+ (* 49/5 (/ 1 (* H (pow v 2)))) (* 2401/25 (/ 1 (pow v 4)))))>
#<alt (* (pow H 2) (- (+ (* 2401/25 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))) (/ 1 (pow H 2))))>
#<alt (* (pow H 2) (- (+ (* 2401/25 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))) (/ 1 (pow H 2))))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (* (pow H 2) (+ (* 49/5 (/ 1 (* H (pow v 2)))) (* 2401/25 (/ 1 (pow v 4)))))>
#<alt (* (pow H 2) (+ (* -1 (/ (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) H)) (* 2401/25 (/ 1 (pow v 4)))))>
#<alt (* (pow H 2) (+ (* -1 (/ (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) H)) (* 2401/25 (/ 1 (pow v 4)))))>
#<alt (* 2401/25 (/ (pow H 2) (pow v 4)))>
#<alt (/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 4))>
#<alt (/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H)))) (pow v 4))>
#<alt (/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H)))) (pow v 4))>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)>

Calls

162 calls:

Time	Variable		Point	Expression
15.0ms	H	@	0	(* (/ H (* v v)) -2401/50)
2.0ms	H	@	0	(* v (+ 1 (/ (* H -49/5) (* v v))))
1.0ms	v	@	0	(/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))))
1.0ms	H	@	inf	(* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))
1.0ms	H	@	-inf	(/ (sqrt (+ (* v v) (* H -98/5))) v)

rewrite352.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3994×	`-lowering-.f32`
3994×	`-lowering-.f64`
1960×	`/-lowering-/.f32`
1960×	`/-lowering-/.f64`
1498×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	361
1	308	300
2	3702	296
0	8246	296

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 589

Calls

Call 1

Inputs
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(sqrt (+ (* v v) (* H -98/5)))
(atan (* (/ (* v v) H) 5/49))
(* (/ (* v v) H) 5/49)
(/ (* v v) H)
(* v v)
(* v (+ 1 (/ (* H -49/5) (* v v))))
(atan (/ v (* v (+ 1 (/ (* H -49/5) (* v v))))))
(/ v (* v (+ 1 (/ (* H -49/5) (* v v)))))
(+ 1 (/ (* H -49/5) (* v v)))
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
(* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))
(atan (/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))))))
(/ v (* v (+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))))
(+ (/ (* (* H H) -2401/25) (* v (* v (* v v)))) (+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1)))
(* H -98/5)
(/ (* H -49/5) (* v v))
(* H -49/5)
(/ H (* v v))
(/ -49/5 v)
(* (/ H (* v v)) -2401/50)
(/ (* (* H H) -2401/25) (* v (* v (* v v))))
(/ (* (* H H) 2401/25) (* v (* v (* v v))))
(+ (/ (* H 49/5) (* v v)) (- (/ (* (* H H) 2401/25) (* v (* v (* v v)))) 1))

Outputs
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.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 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
(/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))))) (neg.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v)))) (-.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v)))
(/.f64 (-.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v)))) (+.f64 (.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v)))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v)))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))))
(.f64 (-.f64 (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))) (.f64 (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v) (/.f64 (.f64 H (.f64 H #s(literal 2401/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))) #s(literal 1 binary64))))

simplify368.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

6614×	`-lowering-.f32`
6614×	`-lowering-.f64`
3274×	`+-lowering-+.f64`
3274×	`+-lowering-+.f32`
1694×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	775	7995
1	2480	6952
0	8562	6952

Stop Event

1×	iter limit
1×	node limit

Counts

640 → 640

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) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(atan (* 5/49 (/ (pow v 2) H)))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
(* 5/49 (/ (pow v 2) H))
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(- (* -49/5 (/ H (pow v 2))) 1)
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(- (* -1 (/ (+ (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 4802/25 (/ (pow H 2) (pow v 4)))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -1 (/ (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -1 (/ (+ (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))))) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* 4802/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 4802/25 (/ (pow H 2) (pow v 4)))))))
-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))))) 1)
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 1)
(* 49/5 (/ H (pow v 2)))
(* 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)))
(* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(/ (+ (* -2401/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))
(/ (+ (* -2401/25 (pow H 2)) (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2)))) (pow v 4))
(/ (+ (* -2401/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H))))) (pow v 4))
(/ (+ (* -2401/25 (pow H 2)) (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H))))) (pow v 4))
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)
(- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)
(- (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)
(* -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)
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ -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)
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* -2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* 2401/25 (/ (pow H 2) (pow v 4)))
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)
(- (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* (pow H 2) (+ (* 49/5 (/ 1 (* H (pow v 2)))) (* 2401/25 (/ 1 (pow v 4)))))
(* (pow H 2) (- (+ (* 2401/25 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))) (/ 1 (pow H 2))))
(* (pow H 2) (- (+ (* 2401/25 (/ 1 (pow v 4))) (/ 49/5 (* H (pow v 2)))) (/ 1 (pow H 2))))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(* (pow H 2) (+ (* 49/5 (/ 1 (* H (pow v 2)))) (* 2401/25 (/ 1 (pow v 4)))))
(* (pow H 2) (+ (* -1 (/ (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) H)) (* 2401/25 (/ 1 (pow v 4)))))
(* (pow H 2) (+ (* -1 (/ (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) H)) (* 2401/25 (/ 1 (pow v 4)))))
(* 2401/25 (/ (pow H 2) (pow v 4)))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 4))
(/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H)))) (pow v 4))
(/ (+ (* 2401/25 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H)))) (pow v 4))
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4)))) 1)

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

eval245.0ms (2.3%)

Compiler: Compiled 42511 to 4299 computations (89.9% saved)

prune165.0ms (1.6%)

Pruning

44 alts after pruning (35 fresh and 9 done)

	Pruned	Kept	Total
New	1319	18	1337
Fresh	6	17	23
Picked	2	3	5
Done	1	6	7
Total	1328	44	1372

Accuracy

100.0%

Counts

1372 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(atan.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	38.0%	(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	10.9%	(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
	11.4%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	10.7%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
	6.2%	(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
	4.8%	(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
	17.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	17.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	5.0%	(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
	10.7%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
	36.6%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
✓	36.8%	(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
	4.6%	(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
	11.4%	(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
	30.4%	(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))))))
	30.4%	(atan.f64 (/.f64 v (.f64 v (+.f64 (.f64 H (.f64 H (/.f64 (/.f64 #s(literal -2401/25 binary64) (.f64 v v)) (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64)))))))
	36.6%	(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
	36.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
	28.8%	(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
✓	38.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
✓	66.5%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	38.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	36.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
✓	66.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
	9.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
	11.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
	30.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))) #s(literal -1 binary64)))))
	66.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
	11.4%	(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
	33.7%	(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
✓	66.5%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
	38.0%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
✓	11.4%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
	21.7%	(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
	19.2%	(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
	33.1%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))
	36.8%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) #s(literal -49/5 binary64)))))) v))
	11.4%	(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
	11.4%	(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
	10.3%	(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
	38.7%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	33.1%	(atan.f64 #s(literal 1 binary64))
✓	36.2%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 2329 to 950 computations (59.2% saved)

regimes105.0ms (1%)

Counts

71 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
(atan.f64 (.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) #s(literal -49/5 binary64)))))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))) #s(literal 2401/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (.f64 H (.f64 H (/.f64 (/.f64 #s(literal -2401/25 binary64) (.f64 v v)) (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 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 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (.f64 v v))))))))
(atan.f64 (.f64 (pow.f64 (.f64 (.f64 v v) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 (.f64 H H) (.f64 H H)) #s(literal 92236816/625 binary64))) (.f64 (+.f64 (.f64 v v) (.f64 H #s(literal 98/5 binary64))) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))))
(atan.f64 (/.f64 v (pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v))))) (sqrt.f64 (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))

Outputs

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

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

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

Calls

5 calls:

20.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
19.0ms	v
19.0ms	H
18.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
18.0ms	(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
99.1%	3	`v`
73.2%	3	`H`
83.3%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
83.3%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
73.2%	3	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes47.0ms (0.4%)

Counts

55 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
(atan.f64 (.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) #s(literal -49/5 binary64)))))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))) #s(literal 2401/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (.f64 H (.f64 H (/.f64 (/.f64 #s(literal -2401/25 binary64) (.f64 v v)) (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))

Outputs

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

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

(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 7203/50 binary64))) (*.f64 v v)))))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

52 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
(atan.f64 (.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) #s(literal -49/5 binary64)))))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))) #s(literal 2401/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (.f64 H (.f64 H (/.f64 (/.f64 #s(literal -2401/25 binary64) (.f64 v v)) (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))

Outputs

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

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

(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 7203/50 binary64))) (*.f64 v v)))))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (0.6%)

Counts

51 → 2

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal -49/5 binary64)) v))))
(atan.f64 (.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))
(atan.f64 (/.f64 v (+.f64 v (.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) #s(literal -49/5 binary64)))))) v))
(atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 H #s(literal 7203/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))))))
(atan.f64 (.f64 (/.f64 (.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))))
(atan.f64 (.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v (.f64 v v))))) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (neg.f64 (-.f64 #s(literal 0 binary64) v))) (.f64 v v))))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H v) (/.f64 H v)) (/.f64 #s(literal 2401/25 binary64) (.f64 v v))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v))))
(atan.f64 (/.f64 v (.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))) #s(literal 2401/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (*.f64 v v)))))) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) (/.f64 (.f64 #s(literal 2401/25 binary64) H) (.f64 v (.f64 v (.f64 v v)))))) #s(literal -1 binary64))))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v (.f64 v v)))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (.f64 H (.f64 H (/.f64 (/.f64 #s(literal -2401/25 binary64) (.f64 v v)) (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 (.f64 H H) #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) (-.f64 (/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (*.f64 v v)))) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (.f64 H (.f64 H H)) (-.f64 (/.f64 #s(literal 117649/125 binary64) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (/.f64 (.f64 v v) H) H) H))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v (.f64 v (.f64 v v)))) (/.f64 (.f64 (.f64 H H) #s(literal -117649/125 binary64)) (.f64 v v))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal 1 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v))))))) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) (-.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)) #s(literal 1 binary64))))))))

Outputs

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

(atan.f64 (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 7203/50 binary64))) (*.f64 v v)))))

Calls

2 calls:

44.0ms	v
14.0ms	H

Results

Accuracy	Segments	Branch
44.9%	3	`H`
71.0%	2	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64))))
(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal 5/49 binary64)))
(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (.f64 (.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 (.f64 v v) #s(literal 5/49 binary64)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (/.f64 (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) v) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) v)) (.f64 v (.f64 v v)))))
(neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)))
(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 (/.f64 v (-.f64 #s(literal 0 binary64) v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(atan.f64 (.f64 v (.f64 v (+.f64 (/.f64 (.f64 #s(literal -25/2401 binary64) (.f64 v v)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H)))))
(atan.f64 (.f64 (/.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v))

Outputs

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
70.8%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.3%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.5%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms	H
1.0ms	v

Results

Accuracy	Segments	Branch
36.2%	1	`H`
36.2%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch7.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.8350426272500913e+112	1.3579493865555468e+115
3.0ms	-4.959197716115435e+114	-1.1541833946652839e+114

Results

5.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 71 to 53 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (54.5% of total)

ival-mult: 1.0ms (27.2% of total)

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.108074156064564e-29	2.618942984025346e-26
17.0ms	-1.3648385093898316e-14	-6.250652799583116e-17

Results

25.0ms	240×	0	valid
3.0ms	35×	0	invalid

Compiler

Compiled 464 to 338 computations (27.2% saved)

Precisions

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

ival-mult: 6.0ms (33.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (22.1% of total)

ival-div: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

ival-atan: 2.0ms (11.1% of total)

ival-sub: 1.0ms (5.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	5.108074156064564e-29	2.618942984025346e-26
20.0ms	-1.3648385093898316e-14	-6.250652799583116e-17

Results

27.0ms	240×	0	valid
7.0ms	52×	0	invalid

Compiler

Compiled 464 to 338 computations (27.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (38.7% of total)

...c/correct-round.rkt:119:19: 4.0ms (19.3% of total)

ival-div: 2.0ms (9.7% of total)

ival-sqrt: 2.0ms (9.7% of total)

ival-atan: 2.0ms (9.7% of total)

ival-sub: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.0924893757902623e-187	7.637728365360527e-187

Results

8.0ms	80×	0	valid
5.0ms	44×	0	invalid

Compiler

Compiled 220 to 155 computations (29.5% saved)

Precisions

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

ival-mult: 3.0ms (41.8% of total)

...c/correct-round.rkt:119:19: 2.0ms (27.9% of total)

ival-sub: 1.0ms (13.9% of total)

ival-div: 1.0ms (13.9% of total)

ival-sqrt: 1.0ms (13.9% of total)

ival-atan: 1.0ms (13.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-2.9953368218237803e-280	-1.517730345803621e-286

Results

2.0ms	16×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 52 to 38 computations (26.9% saved)

Precisions

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

ival-mult: 1.0ms (58.7% of total)

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	-2.9953368218237803e-280	-1.517730345803621e-286

Results

2.0ms	16×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 52 to 38 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

const: 0.0ms (0% of total)

...c/correct-round.rkt:119:19: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-8.603620438695196e-276	-9.369969993596035e-277

Results

11.0ms	96×	0	valid
5.0ms	52×	0	invalid

Compiler

Compiled 206 to 147 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (39.6% of total)

...c/correct-round.rkt:119:19: 2.0ms (19.8% of total)

ival-sub: 1.0ms (9.9% of total)

ival-div: 1.0ms (9.9% of total)

ival-sqrt: 1.0ms (9.9% of total)

ival-atan: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.705629018269372e-98	-1.0144094289243472e-103

Results

18.0ms	144×	0	valid
4.0ms	45×	0	invalid

Compiler

Compiled 182 to 141 computations (22.5% saved)

Precisions

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

...c/correct-round.rkt:119:19: 5.0ms (31.6% of total)

ival-mult: 4.0ms (25.3% of total)

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.0924893757902623e-187	7.637728365360527e-187
26.0ms	-4.572332412976113e-90	-5.705629018269372e-98

Results

25.0ms	224×	0	valid
10.0ms	103×	0	invalid

Compiler

Compiled 244 to 197 computations (19.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

...c/correct-round.rkt:119:19: 8.0ms (34% of total)

ival-mult: 7.0ms (29.7% of total)

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-1.517730345803621e-286	3.758957534175101e-304

Results

21.0ms	176×	0	valid
9.0ms	98×	0	invalid

Compiler

Compiled 130 to 125 computations (3.8% saved)

Precisions

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

ival-mult: 10.0ms (49.1% of total)

...c/correct-round.rkt:119:19: 4.0ms (19.6% of total)

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

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

ival-sub: 1.0ms (4.9% of total)

ival-atan: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
48×	`+-commutative_binary64`
38×	`neg-mul-1_binary64`
36×	`neg-sub0_binary64`
34×	`sub-neg_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	103	302
1	128	302
2	140	302
3	164	302
4	185	302
5	214	299
6	246	299
7	264	299
8	273	299
9	276	299

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -7707315649387635/20282409603651670423947251286016 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 3512367368768573/11150372599265311570767859136324180752990208 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal 3674162482993007/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v))))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -8230921486402021/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -4884968572169573/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1959553324262937/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) (-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 19999999999999998602398693852608794569346663002779536985231793723294459665661827807523927173788508935154456068096 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -7707315649387635/20282409603651670423947251286016 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal -7707315649387635/20282409603651670423947251286016 binary64)) (-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 6065802694000329/89202980794122492566142873090593446023921664 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64))))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 3512367368768573/11150372599265311570767859136324180752990208 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal -6490371073168535/40564819207303340847894502572032 binary64)) (-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (if (<=.f64 v #s(literal 3512367368768573/11150372599265311570767859136324180752990208 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v)))))))
(if (<=.f64 v #s(literal 3674162482993007/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v))))))
(if (<=.f64 v #s(literal 3674162482993007/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))) (atan.f64 (+.f64 #s(literal 1 binary64) (.f64 H (/.f64 (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal 7203/50 binary64))) (.f64 v v))))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 H v) #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 #s(literal -49/5 binary64) H) v)))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -2043740476963553/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176 binary64)) (atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal -1 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H (.f64 v v))))))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 #s(literal -49/5 binary64) H) v)))))
(if (<=.f64 v #s(literal -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 binary64)) (neg.f64 (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -4629024155415/4872657005699999540176691193937594155438113428797503763433953228606474345383213051232807532941005129612652458115704334091729584932601547023288993648156326709765638849978236514935394827745026824176399796739609189436842798962697437472873181807734482806413869401552138773540914294995957055488 binary64)) (-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))) v))) (atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 #s(literal -49/5 binary64) H) v)))))
(if (<=.f64 v #s(literal -8230921486402021/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -8230921486402021/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 #s(literal -49/5 binary64) H) v)))))
(if (<=.f64 v #s(literal -4884968572169573/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1959553324262937/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (atan.f64 (.f64 v (.f64 (/.f64 v H) #s(literal 5/49 binary64)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness1.8s (17.3%)

Rules

6142×	`-lowering-.f32`
6142×	`-lowering-.f64`
5962×	`-lowering-.f32`
5962×	`-lowering-.f64`
5884×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	22	10
2	33	9
3	49	9
4	72	9
5	118	9
6	214	9
7	374	9
8	539	9
9	815	9
10	1054	9
11	1317	9
12	1422	9
13	1469	9
14	1516	9
15	1540	9
0	1540	9
0	50	361
1	308	300
2	3702	296
0	8246	296
0	323	1685
1	1004	1540
2	3661	1524
0	8173	1524
0	607	7273
1	1927	6507
2	6467	6485
0	8191	6485
0	41	211
1	207	187
2	1700	187
0	8996	187
0	555	6584
1	1708	5824
2	5926	5796
0	8142	5796

Stop Event

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

Compiler

Compiled 1089 to 659 computations (39.5% saved)

preprocess82.0ms (0.8%)

Compiler: Compiled 640 to 224 computations (65% saved)

Iter	Nodes	Cost
0	103	302
1	128	302
2	140	302
3	164	302
4	185	302
5	214	299
6	246	299
7	264	299
8	273	299
9	276	299

Iter	Nodes	Cost
0	103	302
1	128	302
2	140	302
3	164	302
4	185	302
5	214	299
6	246	299
7	264	299
8	273	299
9	276	299

analyze56.0ms (0.5%)

sample1.3s (12.4%)

preprocess100.0ms (0.9%)

explain147.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize68.0ms (0.6%)

series16.0ms (0.1%)

rewrite289.0ms (2.7%)

simplify319.0ms (3%)

eval36.0ms (0.3%)

prune57.0ms (0.5%)

simplify196.0ms (1.9%)

localize330.0ms (3.1%)

series34.0ms (0.3%)

rewrite365.0ms (3.5%)

simplify390.0ms (3.7%)

eval188.0ms (1.8%)

prune162.0ms (1.5%)

simplify229.0ms (2.2%)

localize419.0ms (4%)

series56.0ms (0.5%)

rewrite607.0ms (5.8%)

simplify392.0ms (3.7%)

eval206.0ms (2%)

prune196.0ms (1.9%)

simplify163.0ms (1.5%)

localize522.0ms (4.9%)

series67.0ms (0.6%)

rewrite352.0ms (3.3%)

simplify368.0ms (3.5%)

eval245.0ms (2.3%)

prune165.0ms (1.6%)

regimes105.0ms (1%)

regimes47.0ms (0.4%)

regimes23.0ms (0.2%)

regimes62.0ms (0.6%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch47.0ms (0.5%)

bsearch19.0ms (0.2%)

bsearch4.0ms (0%)

bsearch3.0ms (0%)

bsearch22.0ms (0.2%)

bsearch31.0ms (0.3%)

bsearch50.0ms (0.5%)

bsearch43.0ms (0.4%)

simplify25.0ms (0.2%)

soundness1.8s (17.3%)

preprocess82.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	103	302
1	128	302
2	140	302
3	164	302
4	185	302
5	214	299
6	246	299
7	264	299
8	273	299
9	276	299