Metrics for Optimal throwing angle

analyze44.0ms (0.4%)

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: 23.0ms

ival-mult: 8.0ms (34.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (21.3% of total)

ival-sqrt: 4.0ms (17.1% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample1.3s (12.8%)

Results

1.0s	8256×	0	valid
7.0ms	85×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-mult: 231.0ms (34% of total)

...c/correct-round.rkt:119:19: 148.0ms (21.8% of total)

ival-atan: 91.0ms (13.4% of total)

ival-sqrt: 89.0ms (13.1% of total)

ival-div: 62.0ms (9.1% of total)

ival-sub: 43.0ms (6.3% of total)

const: 12.0ms (1.8% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess98.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	66
1	77	64
2	155	64
3	335	64
4	794	64
5	1338	64
6	2036	64
7	2781	64
8	2972	64
9	3077	64
10	3186	64
11	3234	64
0	12	10
1	21	10
2	32	10
3	48	10
4	71	10
5	117	10
6	213	10
7	372	10
8	540	10
9	816	10
10	1055	10
11	1318	10
12	1423	10
13	1470	10
14	1517	10
15	1541	10
0	1541	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (+.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 (fmsub v v (* 98/5 H)))))
(atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H)))))
(atan (/ (neg v) (sqrt (fmsub v v (* 98/5 H)))))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H))))))
(atan (* v (rsqrt (fmsub v v (* H -98/5)))))
(neg (atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H))))))
(neg (atan (/ (neg v) (sqrt (fmsub v v (* 98/5 H))))))
(neg (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H)))))))
(neg (atan (* v (rsqrt (fmsub v v (* H -98/5))))))
(atan (/ H (sqrt (- (* H H) (* (* 2 49/5) v)))))
(atan (* H (rsqrt (fma v -98/5 (* H H)))))

explain145.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
91	-	-	`(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

94.0ms	506×	0	valid
8.0ms	6×	5	exit

Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 28.0ms (48.4% of total)

...c/correct-round.rkt:119:19: 9.0ms (15.6% of total)

ival-sqrt: 8.0ms (13.8% of total)

ival-atan: 5.0ms (8.6% of total)

ival-div: 4.0ms (6.9% of total)

ival-sub: 3.0ms (5.2% of total)

const: 1.0ms (1.7% of total)

backward-pass: 1.0ms (1.7% 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
▶	65.4%	(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)

simplify6.0ms (0.1%)

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: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	12	41
2	14	41
0	14	41

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)

localize44.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
✓	accuracy	99.9%	(/.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	66.9%	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))

Results

30.0ms	253×	0	valid
2.0ms	3×	5	exit

Compiler

Compiled 48 to 10 computations (79.2% saved)

Precisions

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

...c/correct-round.rkt:119:19: 4.0ms (22.8% of total)

ival-mult: 4.0ms (22.8% of total)

ival-atan: 3.0ms (17.1% of total)

ival-div: 2.0ms (11.4% of total)

ival-sqrt: 2.0ms (11.4% of total)

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

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

const: 0.0ms (0% of total)

series17.0ms (0.2%)

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	v	@	0	(+ (* 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	@	inf	(/ v (sqrt (+ (* v v) (* H -98/5))))

rewrite300.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3070×	`-lowering-.f32`
3070×	`-lowering-.f64`
1716×	`sum5-define`
1670×	`pow-lowering-pow.f64`
1670×	`pow-lowering-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	37	35
2	273	35
3	2766	35
0	8154	35

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 169

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

simplify280.0ms (2.8%)

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	1633
2	3655	1611
0	8165	1611

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))))))
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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 (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 (.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))))))
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (+.f64 (.f64 (.f64 (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 (.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))) (/.f64 #s(literal 1/16 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)

eval43.0ms (0.4%)

Compiler: Compiled 8118 to 1137 computations (86% saved)

prune59.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	261	16	277
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	17	278

Accuracy

100.0%

Counts

278 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.3%	(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)))
	65.2%	(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))))
▶	65.4%	(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))))
▶	35.6%	(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))))
	45.7%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
	45.7%	(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))))))
	45.6%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
▶	39.8%	(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))))))
	22.4%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (+.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 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)))))))))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	54.8%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H))))))
	39.1%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	65.2%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
	65.4%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
▶	65.4%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
	39.7%	(atan.f64 #s(literal 1 binary64))
▶	29.6%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 537 to 363 computations (32.4% saved)

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
✓	cost-diff	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))))))
✓	cost-diff	256	(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
✓	cost-diff	384	(-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))
✓	cost-diff	384	(/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
✓	cost-diff	384	(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 v (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))))

Rules

1788×	`-lowering-.f32`
1788×	`-lowering-.f64`
1732×	`fnmadd-define`
1472×	`sum5-define`
1106×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	310
1	92	293
2	202	293
3	585	278
4	2107	274
5	4262	274
6	7664	274
0	8296	274

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize301.0ms (3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	87.7%	(-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (*.f64 v v))))
✓	accuracy	66.9%	(sqrt.f64 (/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
✓	accuracy	44.5%	(/.f64 (-.f64 (.f64 H (.f64 H #s(literal 9604/25 binary64))) (.f64 v (.f64 v (.f64 v v)))) (-.f64 (.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))
✓	accuracy	99.7%	(.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	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v)))
✓	accuracy	68.1%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))
✓	accuracy	100.0%	(/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
✓	accuracy	99.6%	(.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))
✓	accuracy	91.5%	(.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
✓	accuracy	86.8%	(/.f64 H (*.f64 v v))
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 v (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64)))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	accuracy	68.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))

Results

197.0ms	253×	0	valid
13.0ms	3×	5	exit

Compiler

Compiled 358 to 41 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 89.0ms (54% of total)

ival-div: 23.0ms (14% of total)

ival-pow: 15.0ms (9.1% of total)

...c/correct-round.rkt:119:19: 13.0ms (7.9% of total)

ival-atan: 11.0ms (6.7% of total)

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

ival-sub: 4.0ms (2.4% of total)

ival-add: 4.0ms (2.4% of total)

backward-pass: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

series36.0ms (0.4%)

Counts

22 → 480

Calls

Call 1

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

Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))>
#<alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (* (sqrt 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 (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (atan (/ -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 (/ v (+ v (* -49/5 (/ H v))))))>
#<alt (atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))>
#<alt (atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))>
#<alt (atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))>
#<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))>
#<alt (* (pow v 2) (+ (* 25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (+ (* (pow v 2) (+ (* 125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 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 (- (* H (- (* -117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (* 5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)>
#<alt (/ (- (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 5/49 (pow v 2))) (* -25/2401 (/ (pow v 4) H))) H)>
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#<alt (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (* (sqrt -1) (sqrt 5/98))))) (* (sqrt (/ 1 H)) (/ (* v (sqrt 5/98)) (sqrt -1))))>
#<alt (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (* (sqrt -1) (sqrt 5/98))))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (* (sqrt -1) (sqrt 5/98))))) (* (sqrt (/ 1 H)) (/ (* v (sqrt 5/98)) (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* -625/92236816 (pow v 6)) (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))))) (* (sqrt -1) (sqrt 5/98))))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (* (sqrt -1) (sqrt 5/98))))) (+ (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (* (sqrt -1) (sqrt 5/98))))) (* (sqrt (/ 1 H)) (/ (* v (sqrt 5/98)) (sqrt -1))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))>
#<alt (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))>
#<alt (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* H (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))>
#<alt (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ 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 (* -1 (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (- (* 9604/25 (pow H 2)) (pow v 4))>
#<alt (* 9604/25 (pow H 2))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* 9604/25 (pow H 2))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* (pow H 2) (+ 9604/25 (* -1 (/ (pow v 4) (pow H 2)))))>
#<alt (* 9604/25 (pow H 2))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (+ (* -1 (pow v 4)) (* 9604/25 (pow H 2)))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* -1 (pow v 4))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>
#<alt (* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))>

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	H	@	-inf	(* v (+ 1 (* (/ H (* v v)) -49/5)))
2.0ms	H	@	0	(- 0 (* v (+ 1 (* (/ H (* v v)) -49/5))))
1.0ms	H	@	inf	(/ v (sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v)))))
1.0ms	v	@	inf	(/ v (- 0 (* v (+ 1 (* (/ H (* v v)) -49/5)))))
1.0ms	H	@	inf	(sqrt (/ (- (* H (* H 9604/25)) (* v (* v (* v v)))) (- (* H -98/5) (* v v))))

rewrite454.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3650×	`/-lowering-/.f32`
3650×	`/-lowering-/.f64`
3372×	`-lowering-.f32`
3372×	`-lowering-.f64`
2252×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	208
1	240	174
2	1830	174
0	9355	174

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 950

Calls

Call 1

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

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

simplify659.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

5476×	`-lowering-.f32`
5476×	`-lowering-.f64`
2166×	`+-lowering-+.f64`
2166×	`+-lowering-+.f32`
1578×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	636	7401
1	2062	7134
2	7022	7117
0	8140	7117

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

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

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 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 H H)) H)) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (.f64 (.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64)))))))
(* 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 (/.f64 #s(literal 1 binary64) (.f64 H H)) H)) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 v (.f64 v (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (.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)))) (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (.f64 H (.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.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 #s(literal 49/5 binary64) (/.f64 H (.f64 v v))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (*.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 (.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 (.f64 #s(literal -941192/125 binary64) (.f64 H H)) H) (.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 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(+.f64 #s(literal -1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64)))
(- (+ (* -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 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal 1/2 binary64)) (pow.f64 v #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 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 H (.f64 v v)) #s(literal -49/5 binary64)) (+.f64 (.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 (.f64 #s(literal -941192/125 binary64) (.f64 H H)) H) (.f64 H (.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64))))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+.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)) (pow.f64 v #s(literal 4 binary64))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
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(.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(* (pow v 4) (- (* 9604/25 (/ (pow H 2) (pow v 4))) 1))
(.f64 (pow.f64 v #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))

eval236.0ms (2.4%)

Compiler: Compiled 49366 to 4798 computations (90.3% saved)

prune153.0ms (1.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1432	12	1444
Fresh	5	6	11
Picked	4	1	5
Done	0	1	1
Total	1441	20	1461

Accuracy

100.0%

Counts

1461 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.6%	(neg.f64 (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))))))
▶	65.3%	(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)))
	14.7%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	39.1%	(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))))
	41.9%	(atan.f64 (/.f64 v (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.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 -1/4 binary64))))
▶	35.6%	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)))))
	35.6%	(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)))))))
	35.6%	(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v v))))))))
	45.7%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
	45.7%	(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))))))
▶	45.6%	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))))
	14.7%	(atan.f64 (/.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v))))
	23.5%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	54.8%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H))))))
▶	39.1%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	35.6%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))
	39.1%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
▶	39.7%	(atan.f64 #s(literal 1 binary64))
✓	29.6%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 555 to 383 computations (31% saved)

simplify142.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -98/5 binary64) H)
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	cost-diff	0	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	cost-diff	0	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	cost-diff	256	(.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v))
✓	cost-diff	384	(-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)))
✓	cost-diff	384	(/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v))))
✓	cost-diff	384	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v))))
✓	cost-diff	256	(.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))
✓	cost-diff	256	(/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))))
✓	cost-diff	256	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v 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

1910×	`fnmadd-define`
1510×	`fnmsub-define`
1420×	`-lowering-.f32`
1420×	`-lowering-.f64`
1350×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	213
1	67	195
2	159	172
3	520	169
4	2674	169
5	6973	169
0	8260	169

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

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

localize175.0ms (1.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
✓	accuracy	99.8%	(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
✓	accuracy	99.8%	(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
✓	accuracy	99.5%	(*.f64 #s(literal -98/5 binary64) H)
✓	accuracy	100.0%	(/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v))))
✓	accuracy	99.7%	(.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v))
✓	accuracy	92.3%	(/.f64 H (*.f64 v v))
✓	accuracy	84.8%	(.f64 (/.f64 H (.f64 v v)) v)
✓	accuracy	100.0%	(/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))))
✓	accuracy	99.8%	(.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))
✓	accuracy	92.3%	(/.f64 H (*.f64 v v))
✓	accuracy	91.5%	(.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v 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	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	82.9%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))

Results

72.0ms	164×	0	valid
57.0ms	92×	0	invalid

Compiler

Compiled 227 to 33 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 25.0ms (27.7% of total)

...c/correct-round.rkt:119:19: 23.0ms (25.5% of total)

ival-mult: 17.0ms (18.9% of total)

ival-atan: 9.0ms (10% of total)

ival-pow: 8.0ms (8.9% of total)

ival-sub: 4.0ms (4.4% of total)

ival-sqrt: 2.0ms (2.2% of total)

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

const: 1.0ms (1.1% of total)

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

series28.0ms (0.3%)

Counts

21 → 444

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

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

Calls

111 calls:

Time	Variable		Point	Expression
8.0ms	H	@	-inf	(atan (/ v (sqrt (* -98/5 H))))
1.0ms	v	@	0	(/ v (sqrt (* -98/5 H)))
1.0ms	H	@	0	(/ v (sqrt (* -98/5 H)))
1.0ms	v	@	inf	(/ v (sqrt (* -98/5 H)))
1.0ms	H	@	-inf	(/ v (sqrt (* -98/5 H)))

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`-lowering-.f32`
648×	`-lowering-.f64`
610×	`/-lowering-/.f32`
610×	`/-lowering-/.f64`
222×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	178
1	173	144
0	1335	144

Stop Event

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

Counts

21 → 228

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

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 (/.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 #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 #s(literal 1 binary64) (/.f64 (/.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)))) #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 #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) 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 #s(literal 1 binary64) (.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 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))
(exp.f64 (.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 #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 (exp.f64 (log.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)) #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 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
(+.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))
(-.f64 (/.f64 (.f64 v (.f64 v (.f64 v 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 #s(literal -98/5 binary64)) (.f64 (.f64 H H) #s(literal 9604/25 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 #s(literal -98/5 binary64)) (.f64 (.f64 H H) #s(literal 9604/25 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 #s(literal -98/5 binary64)) (.f64 (.f64 H H) #s(literal 9604/25 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 #s(literal -98/5 binary64)) (.f64 (.f64 H H) #s(literal 9604/25 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 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 (.f64 H H) #s(literal 9604/25 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 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) (neg.f64 (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(neg.f64 (neg.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(/.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) (/.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v))) (*.f64 v v)))
(/.f64 (.f64 v (-.f64 #s(literal 0 binary64) v)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v))) v))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v)))))
(/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v)
(pow.f64 (/.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v) #s(literal -1 binary64))
(.f64 v (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(.f64 #s(literal 1 binary64) (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v)))) v)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)
(/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (-.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(/.f64 (+.f64 (.f64 v (.f64 v v)) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 (.f64 v v) (-.f64 (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))) (.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(/.f64 (.f64 v (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))))
(/.f64 (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v)))))) v) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))))) v) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H))))
(.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))) v)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))
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(/.f64 (.f64 (-.f64 #s(literal 0 binary64) H) #s(literal 49/5 binary64)) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)
(.f64 H (.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 49/5 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) (/.f64 (.f64 v v) H)))
(.f64 #s(literal 49/5 binary64) (/.f64 H (.f64 v v)))
(.f64 (/.f64 H (.f64 v v)) #s(literal 49/5 binary64))
(.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 #s(literal 49/5 binary64) v) (/.f64 H v))
(/.f64 v (/.f64 (*.f64 v v) H))
(/.f64 H v)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (.f64 v H)))
(/.f64 #s(literal 1 binary64) (/.f64 v H))
(/.f64 (-.f64 #s(literal 0 binary64) H) (-.f64 #s(literal 0 binary64) v))
(/.f64 (.f64 v H) (.f64 v v))
(/.f64 (neg.f64 (.f64 v H)) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (.f64 v (-.f64 #s(literal 0 binary64) H)) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 v (/.f64 H v)) v)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) H) v) (.f64 v (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 (/.f64 H v) v) v)
(/.f64 (/.f64 (*.f64 v H) v) v)
(.f64 v (/.f64 H (.f64 v v)))
(*.f64 H (/.f64 #s(literal 1 binary64) v))
(.f64 H (/.f64 v (.f64 v v)))
(.f64 (/.f64 H (.f64 v v)) v)
(*.f64 (/.f64 H v) #s(literal 1 binary64))
(.f64 (.f64 v H) (/.f64 #s(literal 1 binary64) (*.f64 v v)))

simplify357.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5448×	`-lowering-.f32`
5448×	`-lowering-.f64`
2510×	`+-lowering-+.f64`
2510×	`+-lowering-+.f32`
1320×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	4717
1	1515	4482
2	4950	4381
0	8360	4381

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval88.0ms (0.9%)

Compiler: Compiled 11972 to 1552 computations (87% saved)

prune68.0ms (0.7%)

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	696	18	714
Fresh	5	8	13
Picked	1	4	5
Done	0	2	2
Total	702	32	734

Accuracy

100.0%

Counts

734 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	45.6%	(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v))
	11.2%	(atan.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 25/2401 binary64) H)) (.f64 (.f64 v v) #s(literal 5/49 binary64))) (-.f64 #s(literal 0 binary64) H)))
	14.7%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	39.1%	(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))))
	9.6%	(atan.f64 (/.f64 v (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))))
	19.9%	(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (-.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
	15.5%	(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
	13.2%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
	9.6%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))))))))
	28.9%	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (*.f64 v H)))))))
✓	35.6%	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)))))
	35.6%	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 H (/.f64 #s(literal 1 binary64) v))))))
	45.7%	(atan.f64 (/.f64 v (+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
▶	45.7%	(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))))))
✓	45.6%	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))))
	45.7%	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal 1 binary64) v)))))))
	14.7%	(atan.f64 (/.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v))))
	23.5%	(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	54.8%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H))))))
✓	39.1%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	38.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) v)))
▶	35.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v))) v)))
	39.0%	(atan.f64 (.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
▶	13.2%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64)))
	35.6%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v))
	35.6%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))
▶	65.3%	(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) (/.f64 #s(literal -1 binary64) v))))
▶	39.1%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	39.7%	(atan.f64 #s(literal 1 binary64))
✓	29.6%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1018 to 659 computations (35.3% saved)

simplify149.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

2066×	`-lowering-.f32`
2066×	`-lowering-.f64`
2064×	`fnmadd-define`
1390×	`fmsub-define`
1170×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	290
1	90	274
2	207	256
3	467	252
4	1117	252
5	3026	252
0	8359	252

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize248.0ms (2.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
✓	accuracy	99.9%	(/.f64 #s(literal -5/98 binary64) H)
✓	accuracy	99.8%	(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
✓	accuracy	99.6%	(/.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)))))
✓	accuracy	99.5%	(/.f64 #s(literal -49/5 binary64) v)
✓	accuracy	98.4%	(.f64 H (+.f64 (/.f64 (.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))
✓	accuracy	92.3%	(/.f64 H (*.f64 v v))
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v)))
✓	accuracy	99.9%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v))) v)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H v))) v))
✓	accuracy	99.7%	(*.f64 #s(literal 49/5 binary64) (/.f64 H v))
✓	accuracy	100.0%	(*.f64 v v)
✓	accuracy	100.0%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64)))
✓	accuracy	99.6%	(.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64))
✓	accuracy	92.6%	(/.f64 (*.f64 v v) H)
✓	accuracy	99.8%	(.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)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v))
✓	accuracy	99.5%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	82.9%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))

Results

116.0ms	164×	0	valid
63.0ms	92×	0	invalid

Compiler

Compiled 313 to 45 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 27.0ms (23.8% of total)

...c/correct-round.rkt:119:19: 21.0ms (18.5% of total)

ival-div: 20.0ms (17.6% of total)

ival-add: 20.0ms (17.6% of total)

ival-atan: 9.0ms (7.9% of total)

ival-pow: 8.0ms (7.1% of total)

ival-sqrt: 4.0ms (3.5% of total)

ival-sub: 3.0ms (2.6% of total)

const: 1.0ms (0.9% of total)

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

series35.0ms (0.4%)

Counts

25 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	H	@	0	(/ (+ (- 0 v) (* 49/5 (/ H v))) v)
2.0ms	H	@	-inf	(- 0 (pow (+ (* v v) (* H -98/5)) -1/2))
1.0ms	v	@	inf	(atan (* v (sqrt (/ -5/98 H))))
1.0ms	v	@	0	(* v (sqrt (/ -5/98 H)))
1.0ms	H	@	inf	(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))

rewrite297.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2220×	`/-lowering-/.f32`
2220×	`/-lowering-/.f64`
2002×	`-lowering-.f32`
2002×	`-lowering-.f64`
1864×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	218
1	240	198
2	2274	187
0	9568	187

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 643

Calls

Call 1

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

Outputs
(atan.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(neg.f64 (atan.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v))))
(neg.f64 (atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(neg.f64 (atan.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) v)) (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(fma.f64 #s(literal 0 binary64) v (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(fma.f64 v #s(literal 0 binary64) (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v))
(neg.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)))
(neg.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal -1 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 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 -5/98 binary64))) #s(literal -3/2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))
(/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) v) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) v) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal 1 binary64))) (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal -1 binary64))) (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (.f64 v (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))
(/.f64 (neg.f64 (.f64 v (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -3/2 binary64))) v)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) v)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) v))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(.f64 v (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))) v)
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(pow.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 v (/.f64 H v)) #s(literal -1 binary64))
(.f64 H (/.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 #s(literal 1 binary64) (/.f64 H (.f64 v v)))
(*.f64 (/.f64 H v) (/.f64 #s(literal 1 binary64) v))
(.f64 (-.f64 #s(literal 0 binary64) H) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) H)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (-.f64 #s(literal 0 binary64) H))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (pow.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) H)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) H)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v v)))
(exp.f64 (*.f64 (log.f64 (/.f64 v #s(literal 49/5 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 49/5 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 v #s(literal 49/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v #s(literal 49/5 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 v #s(literal 49/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v #s(literal 49/5 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 v #s(literal 49/5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 49/5 binary64) v)
(/.f64 #s(literal -49/5 binary64) v)
(pow.f64 (/.f64 v #s(literal 49/5 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v #s(literal 49/5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 49/5 binary64) v))
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -49/5 binary64))
(.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v (.f64 v v))) (.f64 v v))
(.f64 (/.f64 #s(literal 49/5 binary64) (.f64 v v)) v)

simplify364.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5024×	`-lowering-.f32`
5024×	`-lowering-.f64`
1966×	`+-lowering-+.f64`
1966×	`+-lowering-+.f32`
1694×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	6179
1	1958	5955
2	6650	5934
0	8148	5934

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

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)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 (* (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)))
(- (* (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) (- (* (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)))))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(/ -1 v)
(/ (- (* -49/5 (/ H (pow v 2))) 1) v)
(/ (- (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2))))) v)
(/ (- (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/ 1 v)
(* -1 (/ (- (* -49/5 (/ H (pow v 2))) 1) v))
(* -1 (/ (- (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (- (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ -1 v)
(- (* -49/5 (/ H (pow v 3))) (/ 1 v))
(- (* H (- (* -7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(- (* H (- (* H (- (* -117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* -1 (* (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)))
(- (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (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)))))
(* -1 (* (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))))
(- (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98)))) (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(atan (* -5/49 (/ (pow v 2) H)))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(* -5/49 (/ (pow v 2) H))
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(/ (pow v 2) H)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (+ (* -1 v) (* 49/5 (/ H v)))))
(atan (/ v (+ (* -1 v) (* 49/5 (/ H v)))))
(atan (/ v (+ (* -1 v) (* 49/5 (/ H v)))))
(atan (/ v (+ (* -1 v) (* 49/5 (/ H v)))))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (/ v (- (* 49/5 (/ H v)) v)))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(* 5/49 (/ (pow v 2) H))
(* (pow v 2) (+ (* 25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (+ (* (pow v 2) (+ (* 125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 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 (- (* 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))) (* 5/49 (pow v 2))) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* 625/5764801 (/ (pow v 8) (pow H 3))) (* 5/49 (pow v 2))) (+ (* -25/2401 (/ (pow v 4) H)) (* -125/117649 (/ (pow v 6) (pow H 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 (pow v 2)))
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) (pow v 2))
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) (pow v 2))
(/ (+ (* -1 (pow v 2)) (* 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))) 1)
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 1)
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 1)
(- (* 49/5 (/ H (pow v 2))) 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))))))
(* 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 (- (* 49/5 (/ H (pow v 2))) 1))
(* v (- (* 49/5 (/ H (pow v 2))) 1))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 v)
(- (* 49/5 (/ H v)) v)
(- (* 49/5 (/ H v)) v)
(- (* 49/5 (/ H v)) v)
(* 49/5 (/ H v))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* 49/5 (/ H v))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (- (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))) (* -1 v))))
(atan (/ v (- (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))) (* -1 v))))
(atan (/ v (- (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))) (* -1 v))))
(atan (/ v (- (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))) (* -1 v))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* -1 (* H (+ (* 2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))))
(atan (/ v (+ v (* -1 (* H (+ (* 2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))))
(atan (/ v (+ v (* -1 (* H (+ (* 2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))))
(atan (/ v (+ v (* -1 (* H (+ (* 2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(atan (/ v (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
(* -50/2401 (/ (pow v 4) (pow H 2)))
(* (pow v 4) (- (* 500/117649 (/ (pow v 2) (pow H 3))) (* 50/2401 (/ 1 (pow H 2)))))
(* (pow v 4) (- (* (pow v 2) (+ (* -7500/5764801 (/ (pow v 2) (pow H 4))) (* 500/117649 (/ 1 (pow H 3))))) (* 50/2401 (/ 1 (pow H 2)))))
(* (pow v 4) (- (* (pow v 2) (+ (* (pow v 2) (- (* 100000/282475249 (/ (pow v 2) (pow H 5))) (* 7500/5764801 (/ 1 (pow H 4))))) (* 500/117649 (/ 1 (pow H 3))))) (* 50/2401 (/ 1 (pow H 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* -1 (/ (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2))) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* -1 (/ (+ (* -117649/250 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* -1 (/ (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2))) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* -1 (/ (+ (* -117649/250 (pow H 3)) (* 49/5 (* H (+ (* -2401/25 (pow H 2)) (* -2401/50 (pow H 2)))))) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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 (+ (* 235298/125 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -50/2401 (/ (pow v 4) (pow H 2)))
(/ (+ (* -50/2401 (pow v 4)) (* 500/117649 (/ (pow v 6) H))) (pow H 2))
(/ (- (+ (* -1 (/ (+ (* 2500/5764801 (pow v 8)) (* 5000/5764801 (pow v 8))) (pow H 2))) (* -50/2401 (pow v 4))) (* -500/117649 (/ (pow v 6) H))) (pow H 2))
(/ (- (+ (* -1 (/ (+ (* -10/49 (* (pow v 2) (+ (* 2500/5764801 (pow v 8)) (* 5000/5764801 (pow v 8))))) (* -25000/282475249 (pow v 10))) (pow H 3))) (* -50/2401 (pow v 4))) (+ (* -500/117649 (/ (pow v 6) H)) (+ (* 2500/5764801 (/ (pow v 8) (pow H 2))) (* 5000/5764801 (/ (pow v 8) (pow H 2)))))) (pow H 2))
(* -50/2401 (/ (pow v 4) (pow H 2)))
(/ (+ (* -50/2401 (pow v 4)) (* 500/117649 (/ (pow v 6) H))) (pow H 2))
(/ (+ (* -1 (/ (- (+ (* 2500/5764801 (/ (pow v 8) H)) (* 5000/5764801 (/ (pow v 8) H))) (* 500/117649 (pow v 6))) H)) (* -50/2401 (pow v 4))) (pow H 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 25000/282475249 (/ (pow v 10) H)) (* 10/49 (/ (* (pow v 2) (+ (* 2500/5764801 (pow v 8)) (* 5000/5764801 (pow v 8)))) H))) (+ (* 2500/5764801 (pow v 8)) (* 5000/5764801 (pow v 8)))) H)) (* 500/117649 (pow v 6))) H)) (* -50/2401 (pow v 4))) (pow H 2))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 3))
(/ (+ (* -2401/50 (pow H 2)) (* (pow v 2) (+ (* -49/5 H) (pow v 2)))) (pow v 3))
(/ (+ (* -2401/50 (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 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)))
(* -1 (* v (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(* -1 (* (pow H 2) (+ (* 2401/50 (/ 1 (pow v 3))) (* 49/5 (/ 1 (* H v))))))
(* (pow H 2) (- (/ v (pow H 2)) (+ (* 2401/50 (/ 1 (pow v 3))) (/ 49/5 (* H v)))))
(* (pow H 2) (- (/ v (pow H 2)) (+ (* 2401/50 (/ 1 (pow v 3))) (/ 49/5 (* H v)))))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(* -1 (* (pow H 2) (+ (* 2401/50 (/ 1 (pow v 3))) (* 49/5 (/ 1 (* H v))))))
(* (pow H 2) (- (* -1 (/ (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))) H)) (* 2401/50 (/ 1 (pow v 3)))))
(* (pow H 2) (- (* -1 (/ (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))) H)) (* 2401/50 (/ 1 (pow v 3)))))
(* -49/5 (/ H v))
(* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))
(* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))
(* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -1 (* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3))))))
(* -2401/50 (/ (pow H 2) (pow v 3)))
(/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 3))
(/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 3))
(/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 3))
(* -49/5 (/ H v))
(/ (+ (* -2401/50 (/ (pow H 2) (pow v 2))) (* -49/5 H)) v)
(/ (+ (* -2401/50 (/ (pow H 2) (pow v 2))) (* -49/5 H)) v)
(/ (+ (* -2401/50 (/ (pow H 2) (pow v 2))) (* -49/5 H)) v)
(* -49/5 (/ H v))
(* -1 (/ (+ (* 49/5 H) (* 2401/50 (/ (pow H 2) (pow v 2)))) v))
(* -1 (/ (+ (* 49/5 H) (* 2401/50 (/ (pow H 2) (pow v 2)))) v))
(* -1 (/ (+ (* 49/5 H) (* 2401/50 (/ (pow H 2) (pow v 2)))) v))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(* -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 v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(* 49/5 (/ H v))
(/ 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)

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))))))
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1
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(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) v)
(* 49/5 (/ H v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) 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))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)

eval169.0ms (1.7%)

Compiler: Compiled 26598 to 4051 computations (84.8% saved)

prune174.0ms (1.8%)

Pruning

46 alts after pruning (39 fresh and 7 done)

	Pruned	Kept	Total
New	1250	23	1273
Fresh	5	16	21
Picked	3	2	5
Done	1	5	6
Total	1259	46	1305

Accuracy

100.0%

Counts

1305 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(neg.f64 (atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))))
	39.0%	(atan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
	45.6%	(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v))
	45.7%	(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))) (/.f64 #s(literal 1 binary64) v)))
	11.2%	(atan.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 25/2401 binary64) H)) (.f64 (.f64 v v) #s(literal 5/49 binary64))) (-.f64 #s(literal 0 binary64) H)))
	14.7%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	39.1%	(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))))
	9.6%	(atan.f64 (/.f64 v (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))))
	19.9%	(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (-.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
	15.5%	(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
	9.6%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))))))))
	28.9%	(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (*.f64 v H)))))))
	45.7%	(atan.f64 (/.f64 v (+.f64 (.f64 H (/.f64 (+.f64 (/.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 v v) H)) #s(literal -49/5 binary64)) v)) v)))
	45.7%	(atan.f64 (/.f64 v (+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
	38.2%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (.f64 (+.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) (.f64 v #s(literal -49/5 binary64))) H) (.f64 v v)))))
	45.7%	(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))))
✓	45.6%	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))))
	45.7%	(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal 1 binary64) v)))))))
	14.7%	(atan.f64 (/.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v))))
✓	65.4%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	54.8%	(atan.f64 (/.f64 v (sqrt.f64 (.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H))))))
✓	39.1%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	18.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (.f64 H #s(literal 49/5 binary64)) v) (.f64 v (.f64 v v))) (*.f64 v v)) v)))
	45.7%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) v)))
	35.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal 49/5 binary64))))) v)))
	35.6%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 49/5 binary64)))) v)))
	19.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))) v)))
	14.7%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v (/.f64 v #s(literal 49/5 binary64))))))
	14.7%	(atan.f64 (/.f64 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
	13.2%	(atan.f64 (/.f64 #s(literal -5/49 binary64) (/.f64 H (*.f64 v v))))
	39.1%	(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
	39.0%	(atan.f64 (.f64 (pow.f64 (.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
	3.2%	(atan.f64 (.f64 (/.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (*.f64 v v)) H) #s(literal -5/49 binary64)))
	13.2%	(atan.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (/.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal -5/49 binary64)))
	3.2%	(atan.f64 (.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v))) H) #s(literal -5/49 binary64)))
✓	13.2%	(atan.f64 (.f64 (/.f64 (.f64 v v) H) #s(literal -5/49 binary64)))
	14.7%	(atan.f64 (.f64 (/.f64 (neg.f64 (.f64 v v)) H) #s(literal -5/49 binary64)))
	19.9%	(atan.f64 (.f64 (/.f64 v (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))))
	45.7%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))) v))
	35.6%	(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))
	13.2%	(atan.f64 (.f64 (.f64 v v) (/.f64 #s(literal -5/49 binary64) H)))
	13.2%	(atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) v) (/.f64 v H)))
	39.1%	(atan.f64 (*.f64 v (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal 1/2 binary64)))))
✓	39.1%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	39.7%	(atan.f64 #s(literal 1 binary64))
✓	29.6%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1821 to 832 computations (54.3% saved)

regimes103.0ms (1%)

Counts

71 → 3

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) v) (/.f64 v H)))
(atan.f64 (.f64 (.f64 v v) (/.f64 #s(literal -5/49 binary64) H)))
(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 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H 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 (neg.f64 (.f64 v v)) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v (/.f64 v #s(literal 49/5 binary64))))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(neg.f64 (atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))) v))
(atan.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (/.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) v)))
(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 49/5 binary64) (/.f64 H 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 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))))))
(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 H (/.f64 #s(literal 1 binary64) v))))))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))) v))
(neg.f64 (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H)))))))
(atan.f64 (.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 (.f64 v v) H))))))
(atan.f64 (.f64 (/.f64 (/.f64 (.f64 v (.f64 v (.f64 v v))) (*.f64 v v)) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 H (.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 49/5 binary64)))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal 49/5 binary64))))) v)))
(atan.f64 (/.f64 v (.f64 v (-.f64 #s(literal 1 binary64) (.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal 1 binary64) v)))))))
(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) v)))))
(atan.f64 (.f64 (/.f64 (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal 1 binary64) (.f64 v v))) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (+.f64 (.f64 H (/.f64 (+.f64 (/.f64 #s(literal -2401/50 binary64) (/.f64 (.f64 v v) H)) #s(literal -49/5 binary64)) v)) v)))
(atan.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v v))))))))
(atan.f64 (/.f64 v (-.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (*.f64 v H)))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (.f64 H #s(literal 49/5 binary64)) v) (.f64 v (.f64 v v))) (*.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 v (+.f64 v (/.f64 (.f64 (+.f64 (.f64 #s(literal -2401/50 binary64) (/.f64 H v)) (.f64 v #s(literal -49/5 binary64))) H) (.f64 v v)))))
(atan.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) (/.f64 #s(literal 25/2401 binary64) H)) (.f64 (.f64 v v) #s(literal 5/49 binary64))) (-.f64 #s(literal 0 binary64) H)))
(atan.f64 (.f64 (/.f64 v (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (-.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))) (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))) v)))
(atan.f64 (/.f64 v (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v))))) (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))))
(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal -49/5 binary64) (/.f64 H v))))) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H v) (/.f64 H v)))))))))
(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 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64))))
(atan.f64 (*.f64 v (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal 1/2 binary64)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #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 H (+.f64 #s(literal -98/5 binary64) (/.f64 (.f64 v v) H))))))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))))
(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 v (sqrt.f64 (/.f64 (.f64 (.f64 H H) #s(literal 9604/25 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))))
(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) (/.f64 #s(literal -1 binary64) v))))
(atan.f64 (/.f64 v (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.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 -1/4 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 v)) (.f64 v (.f64 v v))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 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)))))))))
(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))))

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

21.0ms	H
21.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
20.0ms	v
17.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
17.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))

Results

Accuracy	Segments	Branch
99.9%	3	`v`
71.0%	2	`H`
85.2%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
85.2%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
71.0%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes22.0ms (0.2%)

Counts

57 → 3

Calls

Call 1

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

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

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
90.1%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.2%)

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
90.1%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
73.3%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

19 → 2

Calls

Call 1

Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) v) (/.f64 v H)))
(atan.f64 (.f64 (.f64 v v) (/.f64 #s(literal -5/49 binary64) H)))
(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 #s(literal 5/49 binary64) (/.f64 H (*.f64 v v))))
(atan.f64 (/.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H 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 (neg.f64 (.f64 v v)) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v (/.f64 v #s(literal 49/5 binary64))))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(neg.f64 (atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))) v))
(atan.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (/.f64 #s(literal 1 binary64) (.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) 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
73.3%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
73.0%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
73.2%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (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

2 calls:

2.0ms	H
1.0ms	v

Results

Accuracy	Segments	Branch
42.4%	2	`H`
67.5%	2	`v`

Compiler

Compiled 6 to 4 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	v
1.0ms	H

Results

Accuracy	Segments	Branch
29.6%	1	`H`
29.6%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch19.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
14.0ms	7.875955133515576e+98	1.6262939884033646e+106
2.0ms	-6.848362975797774e+154	-2.931673899819846e+152

Results

12.0ms	112×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 153 to 120 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (32.9% of total)

...c/correct-round.rkt:119:19: 2.0ms (21.9% of total)

ival-sub: 1.0ms (11% of total)

ival-div: 1.0ms (11% of total)

ival-sqrt: 1.0ms (11% of total)

ival-atan: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3668828786577963e-50	2.4615336423674383e-49
17.0ms	-1.8977500894295427e-19	-1.9971323197337582e-20

Results

22.0ms	208×	0	valid
4.0ms	46×	0	invalid

Compiler

Compiled 371 to 281 computations (24.3% saved)

Precisions

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

ival-mult: 6.0ms (35.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (23.8% of total)

ival-div: 2.0ms (11.9% of total)

ival-sqrt: 2.0ms (11.9% of total)

ival-atan: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.3668828786577963e-50	2.4615336423674383e-49
23.0ms	-2.2402709563612608e+28	-1.6825454777253367e+20

Results

27.0ms	256×	0	valid
5.0ms	41×	0	invalid

Compiler

Compiled 452 to 344 computations (23.9% saved)

Precisions

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

ival-mult: 8.0ms (34% of total)

...c/correct-round.rkt:119:19: 7.0ms (29.8% 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)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	-2.3470128805843212e-306	4.841056401282752e-304

Results

1.0ms	16×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 50 to 37 computations (26% 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)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.3763978448762296e-105	-4.989215905887368e-106

Results

8.0ms	80×	0	valid
3.0ms	33×	0	invalid

Compiler

Compiled 110 to 85 computations (22.7% saved)

Precisions

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

ival-mult: 3.0ms (41.9% of total)

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

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

ival-atan: 1.0ms (14% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.3763978448762296e-105	-4.989215905887368e-106

Results

12.0ms	27×	0	invalid
8.0ms	80×	0	valid

Compiler

Compiled 110 to 85 computations (22.7% saved)

Precisions

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

ival-mult: 2.0ms (28.5% of total)

...c/correct-round.rkt:119:19: 2.0ms (28.5% of total)

ival-sub: 1.0ms (14.3% of total)

ival-div: 1.0ms (14.3% of total)

ival-sqrt: 1.0ms (14.3% of total)

ival-atan: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.7226237152477134e-109	1.2284274066478438e-106
13.0ms	-1.3763978448762296e-105	-4.989215905887368e-106

Results

20.0ms	208×	0	valid
7.0ms	80×	0	invalid

Compiler

Compiled 228 to 184 computations (19.3% saved)

Precisions

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

ival-mult: 7.0ms (38.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (21.8% of total)

ival-div: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-atan: 2.0ms (10.9% of total)

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

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-2.3470128805843212e-306	4.841056401282752e-304

Results

15.0ms	144×	0	valid
6.0ms	69×	0	invalid

Compiler

Compiled 110 to 105 computations (4.5% saved)

Precisions

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

ival-mult: 5.0ms (34.3% of total)

...c/correct-round.rkt:119:19: 3.0ms (20.6% of total)

ival-atan: 3.0ms (20.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
12×	`+-commutative_binary64`
2×	`unsub-neg_binary64`
2×	`sub0-neg_binary64`
2×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	196
1	103	193
2	106	193
3	107	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 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 -571152654438831/5192296858534827628530496329220096 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (if (<=.f64 v #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -235000000000000000000 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (if (<=.f64 v #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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 -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))))
(if (<=.f64 v #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 231369589076587/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) v) (/.f64 v H))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352 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 -571152654438831/5192296858534827628530496329220096 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (if (<=.f64 v #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 #s(literal -98/5 binary64) H)))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -571152654438831/5192296858534827628530496329220096 binary64)) (atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v)))) (if (<=.f64 v #s(literal 8424983333484575/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.f64 H #s(literal -98/5 binary64))))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -235000000000000000000 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (if (<=.f64 v #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -235000000000000000000 binary64)) (atan.f64 (.f64 v (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 49/5 binary64) (/.f64 H v)) v)))) (if (<=.f64 v #s(literal 806297233087391/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))))))
(if (<=.f64 v #s(literal -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) v) (.f64 #s(literal 49/5 binary64) (/.f64 H v)))) v)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (atan.f64 (.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 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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 -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))))
(if (<=.f64 v #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 231369589076587/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (atan.f64 (.f64 (.f64 #s(literal -5/49 binary64) v) (/.f64 v H))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 231369589076587/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (atan.f64 (.f64 (/.f64 v H) (.f64 v #s(literal -5/49 binary64)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness2.7s (27.6%)

Rules

5962×	`-lowering-.f32`
5962×	`-lowering-.f64`
5476×	`-lowering-.f32`
5476×	`-lowering-.f64`
5448×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	4717
1	1515	4482
2	4950	4381
0	8360	4381
0	9	35
1	37	35
2	273	35
3	2766	35
0	8154	35
0	40	208
1	240	174
2	1830	174
0	9355	174
0	323	1685
1	1004	1633
2	3655	1611
0	8165	1611
0	636	7401
1	2062	7134
2	7022	7117
0	8140	7117
0	32	178
1	173	144
0	1335	144
0	12	10
1	21	10
2	32	10
3	48	10
4	71	10
5	117	10
6	213	10
7	372	10
8	540	10
9	816	10
10	1055	10
11	1318	10
12	1423	10
13	1470	10
14	1517	10
15	1541	10
0	1541	10
0	44	218
1	240	198
2	2274	187
0	9568	187

Stop Event

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

Compiler

Compiled 783 to 504 computations (35.6% saved)

preprocess91.0ms (0.9%)

Compiler: Compiled 420 to 184 computations (56.2% saved)

analyze44.0ms (0.4%)

sample1.3s (12.8%)

preprocess98.0ms (1%)

explain145.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize44.0ms (0.4%)

series17.0ms (0.2%)

rewrite300.0ms (3%)

simplify280.0ms (2.8%)

eval43.0ms (0.4%)

prune59.0ms (0.6%)

simplify154.0ms (1.6%)

localize301.0ms (3%)

series36.0ms (0.4%)

rewrite454.0ms (4.6%)

simplify659.0ms (6.6%)

eval236.0ms (2.4%)

prune153.0ms (1.5%)

simplify142.0ms (1.4%)

localize175.0ms (1.8%)

series28.0ms (0.3%)

rewrite82.0ms (0.8%)

simplify357.0ms (3.6%)

eval88.0ms (0.9%)

prune68.0ms (0.7%)

simplify149.0ms (1.5%)

localize248.0ms (2.5%)

series35.0ms (0.4%)

rewrite297.0ms (3%)

simplify364.0ms (3.7%)

eval169.0ms (1.7%)

prune174.0ms (1.8%)

regimes103.0ms (1%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes22.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch19.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch46.0ms (0.5%)

bsearch3.0ms (0%)

bsearch16.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch43.0ms (0.4%)

bsearch30.0ms (0.3%)

simplify11.0ms (0.1%)

soundness2.7s (27.6%)

preprocess91.0ms (0.9%)

end0.0ms (0%)

Profiling