Metrics for Optimal throwing angle

analyze51.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
50%	43.7%	43.7%	0.1%	0%	12.5%	0%	5
60.7%	53.1%	34.3%	0.1%	0%	12.5%	0%	6
72.2%	60.9%	23.4%	0.1%	0%	15.6%	0%	7
79.4%	63.2%	16.4%	0.1%	0%	20.3%	0%	8
85.6%	67.5%	11.3%	0.1%	0%	21.1%	0%	9
89.6%	68.9%	8%	0.1%	0%	23%	0%	10
92.7%	71.1%	5.6%	0.1%	0%	23.2%	0%	11
94.8%	71.9%	4%	0.1%	0%	24.1%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

Precisions

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

ival-mult: 8.0ms (35.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (22.1% of total)

ival-sqrt: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-atan: 2.0ms (8.9% of total)

ival-div: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

sample1.3s (11.8%)

Results

1.0s	8256×	0	valid
20.0ms	88×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-mult: 260.0ms (38% of total)

...c/correct-round.rkt:119:19: 138.0ms (20.2% of total)

ival-atan: 84.0ms (12.3% of total)

ival-sqrt: 76.0ms (11.1% of total)

ival-div: 68.0ms (9.9% of total)

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

const: 13.0ms (1.9% of total)

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

Bogosity

preprocess103.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain165.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
67	-	-	`(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

99.0ms	500×	0	valid
16.0ms	12×	5	exit

Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions

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

...c/correct-round.rkt:119:19: 14.0ms (23% of total)

ival-sub: 14.0ms (23% of total)

ival-mult: 13.0ms (21.3% of total)

ival-sqrt: 7.0ms (11.5% of total)

ival-atan: 6.0ms (9.8% of total)

ival-div: 4.0ms (6.6% of total)

backward-pass: 2.0ms (3.3% of total)

const: 1.0ms (1.6% 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
▶	74.1%	(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: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (0.7%)

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	75.6%	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))

Results

36.0ms	250×	0	valid
26.0ms	6×	5	exit

Compiler

Compiled 48 to 10 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 25.0ms (62.1% of total)

...c/correct-round.rkt:119:19: 5.0ms (12.4% of total)

ival-atan: 3.0ms (7.4% of total)

ival-div: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

backward-pass: 1.0ms (2.5% of total)

ival-add: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

series19.0ms (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
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))))
1.0ms	H	@	0	(/ v (sqrt (+ (* v v) (* H -98/5))))

rewrite404.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 170

Calls

Call 1

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

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

simplify262.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

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

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

eval38.0ms (0.3%)

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

prune39.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	264	14	278
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	264	15	279

Accuracy

100.0%

Counts

279 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.9%	(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))))
▶	38.3%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
▶	25.6%	(atan.f64 (/.f64 v (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 0 binary64) v))))
	39.0%	(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
	38.3%	(atan.f64 (/.f64 v (.f64 v (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
✓	74.1%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	73.3%	(atan.f64 (/.f64 v (sqrt.f64 (.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)))))))))
	41.3%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	74.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
	34.1%	(atan.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))))
▶	74.1%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
	74.0%	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
	74.1%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
	33.1%	(atan.f64 #s(literal 1 binary64))
▶	33.8%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 457 to 305 computations (33.3% saved)

simplify289.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))
✓	cost-diff	128	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)))
✓	cost-diff	384	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	cost-diff	512	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 0 binary64) v))
✓	cost-diff	640	(/.f64 v (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 0 binary64) v)))
✓	cost-diff	640	(atan.f64 (/.f64 v (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 0 binary64) v))))
✓	cost-diff	0	(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
✓	cost-diff	0	(+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
✓	cost-diff	0	(/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
✓	cost-diff	0	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
✓	cost-diff	0	(atan.f64 #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
✓	cost-diff	0	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))

Rules

3024×	`-lowering-.f32`
3024×	`-lowering-.f64`
2082×	`sum3-define`
1640×	`sum5-define`
1272×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	259
1	81	240
2	199	240
3	658	225
4	3183	222
5	6579	222
0	8501	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))
(* (pow (+ (* v v) (* H -98/5)) -1/2) v)
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5
-1/2
(atan -1)
-1
(atan (/ v (+ v (/ (* H -49/5) v))))
(/ v (+ v (/ (* H -49/5) v)))
v
(+ v (/ (* H -49/5) v))
(/ (* H -49/5) v)
(* H -49/5)
H
-49/5
(atan (/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))))
(/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v)))
v
(* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))
(+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v))))
(+ 1 (* (/ H (* v v)) -49/5))
1
(* (/ H (* v v)) -49/5)
(/ H (* v v))
H
(* v v)
-49/5
(/ (* (* H H) -2401/50) (* (* v v) (* v v)))
(* (* H H) -2401/50)
(* H H)
-2401/50
(* (* v v) (* v v))
(- 0 v)
0
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
1
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5

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

localize286.0ms (2.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) v))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	75.6%	(sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))
✓	accuracy	97.8%	(.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 0 binary64) v))
✓	accuracy	89.4%	(/.f64 H (*.f64 v v))
✓	accuracy	81.2%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (*.f64 v v))))
✓	accuracy	76.1%	(/.f64 (.f64 (.f64 H H) #s(literal -2401/50 binary64)) (.f64 (.f64 v v) (*.f64 v v)))
✓	accuracy	100.0%	(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
✓	accuracy	99.9%	(/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
✓	accuracy	99.7%	(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	100.0%	(atan.f64 #s(literal -1 binary64))
✓	accuracy	100.0%	(atan.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
✓	accuracy	99.8%	(.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	75.5%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))

Results

200.0ms	250×	0	valid
24.0ms	6×	5	exit

Compiler

Compiled 322 to 38 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 18.0ms (21% of total)

ival-mult: 18.0ms (21% of total)

...c/correct-round.rkt:119:19: 14.0ms (16.3% of total)

ival-atan: 11.0ms (12.8% of total)

ival-pow: 9.0ms (10.5% of total)

ival-add: 7.0ms (8.2% of total)

backward-pass: 3.0ms (3.5% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

series36.0ms (0.3%)

Counts

21 → 456

Calls

Call 1

Inputs
#<alt (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))>
#<alt (* (pow (+ (* v v) (* H -98/5)) -1/2) v)>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan -1)>
#<alt (atan (/ v (+ v (/ (* H -49/5) v))))>
#<alt (/ v (+ v (/ (* H -49/5) v)))>
#<alt (+ v (/ (* H -49/5) v))>
#<alt (/ (* H -49/5) v)>
#<alt (atan (/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))))>
#<alt (/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v)))>
#<alt (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))>
#<alt (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v))))>
#<alt (atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))>
#<alt (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))>
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (* H -98/5)>
#<alt (* H -49/5)>
#<alt (/ (* (* H H) -2401/50) (* (* v v) (* v v)))>
#<alt (/ H (* v v))>

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

Calls

114 calls:

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

rewrite425.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3036×	`/-lowering-/.f32`
3036×	`/-lowering-/.f64`
2828×	`-lowering-.f32`
2828×	`-lowering-.f64`
2120×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	201
1	196	181
2	1862	181
0	8906	181

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 571

Calls

Call 1

Inputs
(atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))
(* (pow (+ (* v v) (* H -98/5)) -1/2) v)
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(atan -1)
(atan (/ v (+ v (/ (* H -49/5) v))))
(/ v (+ v (/ (* H -49/5) v)))
(+ v (/ (* H -49/5) v))
(/ (* H -49/5) v)
(atan (/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))))
(/ v (* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v)))
(* (+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v)))) (- 0 v))
(+ (+ 1 (* (/ H (* v v)) -49/5)) (/ (* (* H H) -2401/50) (* (* v v) (* v v))))
(atan (/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 (/ (sqrt (+ (* v v) (* H -98/5))) v))
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(sqrt (+ (* v v) (* H -98/5)))
(* H -98/5)
(* H -49/5)
(/ (* (* H H) -2401/50) (* (* v v) (* v v)))
(/ H (* v v))

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

simplify389.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

6534×	`-lowering-.f32`
6534×	`-lowering-.f64`
3092×	`+-lowering-+.f64`
3092×	`+-lowering-+.f32`
1758×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	6794
1	2351	6137
0	8028	6137

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

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 (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (- (* -49/5 (/ H v)) (* -1 v))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (- v (* 49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(atan (/ v (+ v (* -49/5 (/ H v)))))
(* -5/49 (/ (pow v 2) H))
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
(* -5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(* -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)))))
(* -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 (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(atan (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(atan (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(atan (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(atan (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(atan (/ -1 (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(atan (/ -1 (- (+ 1 (* -49/5 (/ H (pow v 2)))) (* 2401/50 (/ (pow H 2) (pow v 4))))))
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-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -1 (/ (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/250 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))
-1
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(- (* -1 (/ (+ (* 49/5 (* H (+ (* 2401/50 (pow H 2)) (* 2401/25 (pow H 2))))) (* 117649/250 (pow H 3))) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 2401/25 (/ (pow H 2) (pow v 4)))))))
-1
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(- (* 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))))) 1)
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(/ (- (+ (* -1 (/ (+ (* -5000/5764801 (pow v 8)) (* -2500/5764801 (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) (+ (* -5000/5764801 (pow v 8)) (* -2500/5764801 (pow v 8))))) (* 25000/282475249 (pow v 10))) (pow H 3))) (* 50/2401 (pow v 4))) (+ (* -5000/5764801 (/ (pow v 8) (pow H 2))) (+ (* -2500/5764801 (/ (pow v 8) (pow H 2))) (* 500/117649 (/ (pow v 6) H))))) (pow H 2))
(* 50/2401 (/ (pow v 4) (pow H 2)))
(/ (+ (* -500/117649 (/ (pow v 6) H)) (* 50/2401 (pow v 4))) (pow H 2))
(/ (+ (* -1 (/ (- (+ (* -5000/5764801 (/ (pow v 8) H)) (* -2500/5764801 (/ (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) (+ (* -5000/5764801 (pow v 8)) (* -2500/5764801 (pow v 8)))) H))) (+ (* -5000/5764801 (pow v 8)) (* -2500/5764801 (pow v 8)))) H)) (* -500/117649 (pow v 6))) H)) (* 50/2401 (pow v 4))) (pow H 2))
(* -1 v)
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(* 2401/50 (/ (pow H 2) (pow v 3)))
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(* (pow H 2) (+ (* -1 (/ v (pow H 2))) (+ (* 2401/50 (/ 1 (pow v 3))) (/ 49/5 (* H v)))))
(* 2401/50 (/ (pow H 2) (pow v 3)))
(* (pow H 2) (+ (* 49/5 (/ 1 (* H v))) (* 2401/50 (/ 1 (pow v 3)))))
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(* (pow H 2) (+ (* -1 (/ (- (/ v H) (* 49/5 (/ 1 v))) H)) (* 2401/50 (/ 1 (pow v 3)))))
(* 2401/50 (/ (pow H 2) (pow v 3)))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/50 (pow H 2))) (pow v 3))
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(/ (+ (* 2401/50 (pow H 2)) (* (pow v 2) (+ (* -1 (pow v 2)) (* 49/5 H)))) (pow v 3))
(* -1 v)
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1
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(* -2401/50 (/ (pow H 2) (pow v 4)))
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(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -1 (* (pow H 2) (+ (* 2401/50 (/ 1 (pow v 4))) (* 49/5 (/ 1 (* H (pow v 2)))))))
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(* (pow H 2) (- (* -1 (/ (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H)) H)) (* 2401/50 (/ 1 (pow v 4)))))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(/ (+ (* -2401/50 (pow H 2)) (* -49/5 (* H (pow v 2)))) (pow v 4))
(/ (+ (* -2401/50 (pow H 2)) (* (pow v 2) (+ (* -49/5 H) (pow v 2)))) (pow v 4))
(/ (+ (* -2401/50 (pow H 2)) (* (pow v 2) (+ (* -49/5 H) (pow v 2)))) (pow v 4))
1
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1
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -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
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(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-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))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(* (sqrt H) (/ (sqrt -98/5) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)
1
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-1
(- (* 49/5 (/ H (pow v 2))) 1)
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(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
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(* (sqrt H) (/ (sqrt -98/5) v))
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(* (sqrt H) (sqrt -98/5))
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(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -2401/50 (/ (pow H 2) (pow v 4)))
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(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(* -2401/50 (/ (pow H 2) (pow v 4)))
(/ 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))

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

eval169.0ms (1.5%)

Compiler: Compiled 33529 to 3624 computations (89.2% saved)

prune291.0ms (2.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1073	20	1093
Fresh	2	7	9
Picked	4	1	5
Done	0	1	1
Total	1079	29	1108

Accuracy

100.0%

Counts

1108 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
	73.9%	(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))))
▶	11.3%	(atan.f64 (/.f64 v (/.f64 (+.f64 (.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v v)))) (.f64 v (.f64 v v))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64))))))))
	12.8%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
	20.8%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 H (/.f64 H (*.f64 v v)))))))))
	39.0%	(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
	37.9%	(atan.f64 (/.f64 v (-.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v))))) v)))
	38.3%	(atan.f64 (/.f64 v (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) v) (.f64 H #s(literal -49/5 binary64))))))
	38.3%	(atan.f64 (/.f64 v (+.f64 v (*.f64 (/.f64 #s(literal -49/5 binary64) v) H))))
	38.3%	(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
	18.2%	(atan.f64 (/.f64 v (.f64 (/.f64 (+.f64 (.f64 (/.f64 (.f64 H (.f64 H #s(literal -2401/50 binary64))) (.f64 v v)) (-.f64 #s(literal 1 binary64) (.f64 H (/.f64 #s(literal -49/5 binary64) (.f64 v v))))) (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2401/25 binary64) (.f64 (/.f64 H (.f64 v v)) (/.f64 H (.f64 v v))))))) (.f64 (.f64 v v) (-.f64 #s(literal 1 binary64) (.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)))))) (-.f64 #s(literal 0 binary64) v))))
	39.0%	(atan.f64 (/.f64 v (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
	19.4%	(atan.f64 (/.f64 v (.f64 (.f64 H H) (-.f64 (/.f64 #s(literal 2401/50 binary64) (.f64 v (.f64 v v))) (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) H)))))
	39.0%	(atan.f64 (/.f64 v (.f64 v (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
✓	74.1%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	73.3%	(atan.f64 (/.f64 v (sqrt.f64 (.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)))))))))
	41.3%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
▶	39.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))) v)))
	41.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
	39.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) #s(literal -1 binary64))))
	41.3%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
	74.0%	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
	20.8%	(atan.f64 (.f64 (/.f64 v (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 H (/.f64 H (.f64 v v)))))) (-.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v))))
	11.3%	(atan.f64 (.f64 (/.f64 v (+.f64 (.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v v)))) (.f64 v (.f64 v v)))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
▶	38.3%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v))) v))
	13.1%	(atan.f64 (.f64 (.f64 v v) (+.f64 (.f64 #s(literal -25/2401 binary64) (/.f64 (/.f64 (.f64 v v) H) H)) (/.f64 #s(literal -5/49 binary64) H))))
▶	74.1%	(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
▶	33.1%	(atan.f64 #s(literal 1 binary64))
✓	33.8%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1097 to 669 computations (39% saved)

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

3830×	`-lowering-.f32`
3830×	`-lowering-.f64`
1558×	`+-lowering-+.f64`
1558×	`+-lowering-+.f32`
1406×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	360
1	101	342
2	255	324
3	1093	314
4	4614	295
0	8163	295

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
v
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
1
(+ (* -98/5 H) (* v v))
(* -98/5 H)
-98/5
H
(* v v)
(atan 1)
1
(atan (* (/ 1 (+ v (/ (* H -49/5) v))) v))
(* (/ 1 (+ v (/ (* H -49/5) v))) v)
(/ 1 (+ v (/ (* H -49/5) v)))
1
(+ v (/ (* H -49/5) v))
v
(/ (* H -49/5) v)
(* H -49/5)
H
-49/5
(atan (/ 1 (/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v)))
(/ 1 (/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v))
1
(/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v)
(* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v)))
(- 0 v)
0
v
(+ 1 (/ (/ (* H -49/5) v) v))
(/ (/ (* H -49/5) v) v)
(/ (* H -49/5) v)
(* H -49/5)
H
-49/5
(atan (/ v (/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))))
(/ v (/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))))
v
(/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))
(+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v)))
(* (* H (* H H)) (/ -117649/125 (* v (* v v))))
(* H (* H H))
H
(* H H)
(/ -117649/125 (* v (* v v)))
-117649/125
(* v (* v v))
(* v v)
(+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))
(/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))
(- (/ (* H -49/5) v) v)
(/ (* H -49/5) v)
(* H -49/5)
-49/5
(/ v (* H -49/5))

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

localize301.0ms (2.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	89.1%	(/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64))))
✓	accuracy	72.9%	(.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (*.f64 v v))))
✓	accuracy	37.2%	(/.f64 (+.f64 (.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v v)))) (.f64 v (.f64 v v))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64))))))
✓	accuracy	99.7%	(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))) v))
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	91.5%	(.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v)))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v))) v)
✓	accuracy	99.7%	(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	100.0%	(atan.f64 #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
✓	accuracy	99.7%	(/.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	75.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (.f64 v v))))

Results

198.0ms	250×	0	valid
25.0ms	6×	5	exit

Compiler

Compiled 438 to 42 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 23.0ms (26.2% of total)

ival-div: 21.0ms (23.9% of total)

...c/correct-round.rkt:119:19: 14.0ms (15.9% of total)

ival-atan: 12.0ms (13.7% of total)

ival-add: 8.0ms (9.1% of total)

ival-sub: 3.0ms (3.4% of total)

backward-pass: 3.0ms (3.4% of total)

ival-sqrt: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

series38.0ms (0.3%)

Counts

22 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
7.0ms	H	@	inf	(/ 1 (/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v))
2.0ms	H	@	-inf	(+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))
1.0ms	v	@	0	(/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))
1.0ms	H	@	0	(/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))
1.0ms	v	@	0	(/ v (/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))))

rewrite341.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3674×	`/-lowering-/.f32`
3674×	`/-lowering-/.f64`
2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
1632×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	200
1	249	165
2	2506	163
0	8667	163

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 831

Calls

Call 1

Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
(atan 1)
(atan (* (/ 1 (+ v (/ (* H -49/5) v))) v))
(* (/ 1 (+ v (/ (* H -49/5) v))) v)
(/ 1 (+ v (/ (* H -49/5) v)))
(+ v (/ (* H -49/5) v))
(atan (/ 1 (/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v)))
(/ 1 (/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v))
(/ (* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v))) v)
(* (- 0 v) (+ 1 (/ (/ (* H -49/5) v) v)))
(atan (/ v (/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))))
(/ v (/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))))
(/ (+ (* (* H (* H H)) (/ -117649/125 (* v (* v v)))) (* v (* v v))) (+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))))
(+ (* v v) (/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5))))
(* -98/5 H)
(* H -49/5)
(/ (* H -49/5) v)
(* (* H (* H H)) (/ -117649/125 (* v (* v v))))
(/ (- (/ (* H -49/5) v) v) (/ v (* H -49/5)))

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

simplify386.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5492×	`-lowering-.f32`
5492×	`-lowering-.f64`
2546×	`+-lowering-+.f64`
2546×	`+-lowering-+.f32`
1540×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	6743
1	2540	5984
0	8385	5984

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

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (+.f64 (.f64 (/.f64 (.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
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(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* -117649/125 (/ (pow H 3) (pow v 3)))
(/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -117649/125 binary64)) (.f64 v (*.f64 v v)))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* H (+ 49/5 (* 2401/25 (/ H (pow v 2)))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(* H (+ 49/5 (* 2401/25 (/ H (pow v 2)))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(* H (+ 49/5 (* 2401/25 (/ H (pow v 2)))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(* 2401/25 (/ (pow H 2) (pow v 2)))
(/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v v))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* 2401/25 (/ (pow H 2) (pow v 2)))
(/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v v))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* (pow H 2) (+ (* 49/5 (/ 1 H)) (* 2401/25 (/ 1 (pow v 2)))))
(.f64 (.f64 H H) (+.f64 (/.f64 #s(literal 49/5 binary64) H) (/.f64 #s(literal 2401/25 binary64) (*.f64 v v))))
(* 2401/25 (/ (pow H 2) (pow v 2)))
(/.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v v))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 2))
(/.f64 (+.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 H #s(literal 49/5 binary64))))) (.f64 v v))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 2))
(/.f64 (+.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 H #s(literal 49/5 binary64))))) (.f64 v v))
(/ (+ (* 49/5 (* H (pow v 2))) (* 2401/25 (pow H 2))) (pow v 2))
(/.f64 (+.f64 (.f64 (.f64 H H) #s(literal 2401/25 binary64)) (.f64 v (.f64 v (.f64 H #s(literal 49/5 binary64))))) (.f64 v v))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))
(+ (* 49/5 H) (* 2401/25 (/ (pow H 2) (pow v 2))))
(.f64 H (+.f64 #s(literal 49/5 binary64) (.f64 (/.f64 H (*.f64 v v)) #s(literal 2401/25 binary64))))

eval244.0ms (2.2%)

Compiler: Compiled 47649 to 4697 computations (90.1% saved)

prune246.0ms (2.2%)

Pruning

38 alts after pruning (35 fresh and 3 done)

	Pruned	Kept	Total
New	1445	24	1469
Fresh	11	11	22
Picked	4	1	5
Done	0	2	2
Total	1460	38	1498

Accuracy

100.0%

Counts

1498 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
	11.8%	(atan.f64 (/.f64 (+.f64 (.f64 v (.f64 v #s(literal -5/49 binary64))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal -25/2401 binary64) H))) (neg.f64 H)))
	9.1%	(atan.f64 (/.f64 (.f64 (/.f64 v (+.f64 (.f64 v (.f64 v v)) (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal -117649/125 binary64))))) (-.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))) (/.f64 v (.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (.f64 H #s(literal -49/5 binary64))))))) (-.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))))
	13.1%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	12.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
	11.3%	(atan.f64 (/.f64 v (/.f64 (+.f64 (.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v v)))) (.f64 v (.f64 v v))) (+.f64 (.f64 v v) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v) v) (/.f64 #s(literal -5/49 binary64) H))))))
	12.8%	(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
	20.8%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 H (/.f64 H (*.f64 v v)))))))))
▶	20.8%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))))
	38.3%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))))
	39.0%	(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
▶	37.9%	(atan.f64 (/.f64 v (-.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v))))) v)))
	38.3%	(atan.f64 (/.f64 v (+.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
	38.3%	(atan.f64 (/.f64 v (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) v) (.f64 H #s(literal -49/5 binary64))))))
✓	74.1%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	41.3%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	26.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) v) v)))
	12.7%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v v)))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))) v)))
	13.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)))) (.f64 v v)) v)))
	13.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
	20.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 v v) (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v)) (/.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))) v)))
	39.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))) v)))
	33.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H))) v)))
	41.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
	14.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v)))) (*.f64 v v))))
	38.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))) v)))))
	31.9%	(atan.f64 (+.f64 #s(literal -1 binary64) (.f64 H (+.f64 (/.f64 (.f64 H #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (.f64 v v))))))
	41.3%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
▶	12.8%	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v))
▶	74.0%	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))
	20.8%	(atan.f64 (.f64 (/.f64 v (-.f64 (.f64 v v) (.f64 #s(literal 2401/25 binary64) (.f64 H (/.f64 H (.f64 v v)))))) (-.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v))))
	11.3%	(atan.f64 (.f64 (/.f64 v (+.f64 (.f64 v (.f64 v v)) (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal -117649/125 binary64))))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))))
	38.3%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -5/49 binary64) H)))) v))
▶	38.3%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64)))) v))
	20.8%	(atan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (.f64 H #s(literal -49/5 binary64)) v)))) (+.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) v))
	41.3%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	33.1%	(atan.f64 #s(literal 1 binary64))
✓	33.8%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 1559 to 921 computations (40.9% saved)

simplify176.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
✓	cost-diff	256	(/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))))
✓	cost-diff	256	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))))
✓	cost-diff	128	(.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v)))))
✓	cost-diff	128	(-.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v))))) v)
✓	cost-diff	128	(/.f64 v (-.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v))))) v))
✓	cost-diff	128	(atan.f64 (/.f64 v (-.f64 (.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v))))) v)))
✓	cost-diff	128	(+.f64 v (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 v (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64))))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64)))) v)
✓	cost-diff	256	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64)))) v))
✓	cost-diff	0	(*.f64 v #s(literal -5/49 binary64))
✓	cost-diff	0	(/.f64 (*.f64 v #s(literal -5/49 binary64)) H)
✓	cost-diff	0	(.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v)
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))))

Rules

3496×	`-lowering-.f32`
3496×	`-lowering-.f64`
1716×	`/-lowering-/.f32`
1716×	`/-lowering-/.f64`
1464×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	403
1	116	374
2	262	356
3	861	349
4	2443	334
5	3627	334
6	5547	334
0	8190	334

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(atan (* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4)))
(* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4))
(/ v (pow (+ (* v v) (* H -98/5)) 1/4))
v
(pow (+ (* v v) (* H -98/5)) 1/4)
(+ (* v v) (* H -98/5))
(* v v)
(* H -98/5)
H
-98/5
1/4
(pow (+ (* v v) (* H -98/5)) -1/4)
-1/4
(atan (* (/ (* v -5/49) H) v))
(* (/ (* v -5/49) H) v)
(/ (* v -5/49) H)
(* v -5/49)
v
-5/49
H
(atan (* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v))
(* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v)
(/ 1 (+ v (* (/ 1 (/ v H)) -49/5)))
1
(+ v (* (/ 1 (/ v H)) -49/5))
v
(* (/ 1 (/ v H)) -49/5)
(/ 1 (/ v H))
(/ v H)
H
-49/5
(atan (/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)))
(/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v))
v
(- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)
(* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v)))))
H
(+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))
(/ 49/5 v)
49/5
(/ (* 2401/50 H) (* v (* v v)))
(* 2401/50 H)
2401/50
(* v (* v v))
(* v v)
(atan (/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))))
(/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))))
v
(/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))
1
(/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))
(+ v (/ (* H 49/5) v))
(/ (* H 49/5) v)
(* H 49/5)
H
49/5
(+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))
(* v v)
(* (/ (* H 49/5) v) (/ (* H -49/5) v))
(/ (* H -49/5) v)
(* H -49/5)
-49/5

Outputs
(atan (* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4)))
(atan.f64 (/.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4))
(/.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)))
(/ v (pow (+ (* v v) (* H -98/5)) 1/4))
(/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
v
(pow (+ (* v v) (* H -98/5)) 1/4)
(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 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)
1/4
#s(literal 1/4 binary64)
(pow (+ (* v v) (* H -98/5)) -1/4)
(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(atan (* (/ (* v -5/49) H) v))
(atan.f64 (.f64 #s(literal -5/49 binary64) (/.f64 (.f64 v v) H)))
(* (/ (* v -5/49) H) v)
(.f64 #s(literal -5/49 binary64) (/.f64 (.f64 v v) H))
(/ (* v -5/49) H)
(/.f64 (*.f64 v #s(literal -5/49 binary64)) H)
(* v -5/49)
(*.f64 v #s(literal -5/49 binary64))
v
-5/49
#s(literal -5/49 binary64)
H
(atan (* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H)))))
(* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v)
(/.f64 v (+.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H))))
(/ 1 (+ v (* (/ 1 (/ v H)) -49/5)))
(/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H))))
1
#s(literal 1 binary64)
(+ v (* (/ 1 (/ v H)) -49/5))
(+.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H)))
v
(* (/ 1 (/ v H)) -49/5)
(/.f64 #s(literal -49/5 binary64) (/.f64 v H))
(/ 1 (/ v H))
(/.f64 H v)
(/ v H)
(/.f64 v H)
H
-49/5
#s(literal -49/5 binary64)
(atan (/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)))
(atan.f64 (/.f64 v (-.f64 (.f64 (/.f64 H v) (+.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 v v) H)))) v)))
(/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v))
(/.f64 v (-.f64 (.f64 (/.f64 H v) (+.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 v v) H)))) v))
v
(- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)
(-.f64 (.f64 (/.f64 H v) (+.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 v v) H)))) v)
(* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v)))))
(.f64 (/.f64 H v) (+.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 v v) H))))
H
(+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))
(.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 2401/50 binary64) (/.f64 (.f64 v v) H))))
(/ 49/5 v)
(/.f64 #s(literal 49/5 binary64) v)
49/5
#s(literal 49/5 binary64)
(/ (* 2401/50 H) (* v (* v v)))
(.f64 #s(literal 2401/50 binary64) (/.f64 H (.f64 v (*.f64 v v))))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
2401/50
#s(literal 2401/50 binary64)
(* v (* v v))
(.f64 v (.f64 v v))
(* v v)
(*.f64 v v)
(atan (/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))))
(atan.f64 (.f64 (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))) (/.f64 v (+.f64 (.f64 v v) (/.f64 (*.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v)))))
(/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))))
(.f64 (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))) (/.f64 v (+.f64 (.f64 v v) (/.f64 (*.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v))))
v
(/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))
(/.f64 (+.f64 (.f64 v v) (/.f64 (.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v)) (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))))
1
#s(literal 1 binary64)
(/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))
(/.f64 (+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H))) (+.f64 (.f64 v v) (/.f64 (.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v)))
(+ v (/ (* H 49/5) v))
(+.f64 v (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))
(/ (* H 49/5) v)
(/.f64 #s(literal 49/5 binary64) (/.f64 v H))
(* H 49/5)
(*.f64 H #s(literal 49/5 binary64))
H
49/5
#s(literal 49/5 binary64)
(+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))
(+.f64 (.f64 v v) (/.f64 (.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v))
(* v v)
(*.f64 v v)
(* (/ (* H 49/5) v) (/ (* H -49/5) v))
(/.f64 (*.f64 H (/.f64 #s(literal -2401/25 binary64) (/.f64 v H))) v)
(/ (* H -49/5) v)
(/.f64 #s(literal -49/5 binary64) (/.f64 v H))
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
-49/5
#s(literal -49/5 binary64)

localize360.0ms (3.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
✓	accuracy	99.3%	(*.f64 H #s(literal 49/5 binary64))
✓	accuracy	99.3%	(*.f64 H #s(literal -49/5 binary64))
✓	accuracy	53.8%	(/.f64 (+.f64 v (/.f64 (.f64 H #s(literal 49/5 binary64)) v)) (+.f64 (.f64 v v) (.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
✓	accuracy	99.4%	(*.f64 #s(literal 2401/50 binary64) H)
✓	accuracy	99.3%	(/.f64 #s(literal 49/5 binary64) v)
✓	accuracy	97.9%	(.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (.f64 v v)))))
✓	accuracy	93.3%	(/.f64 (.f64 #s(literal 2401/50 binary64) H) (.f64 v (*.f64 v v)))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64)))) v)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (+.f64 v (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64))))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 v H)) #s(literal -49/5 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 v H))
✓	accuracy	100.0%	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v))
✓	accuracy	99.8%	(.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v)
✓	accuracy	99.7%	(*.f64 v #s(literal -5/49 binary64))
✓	accuracy	99.7%	(/.f64 (*.f64 v #s(literal -5/49 binary64)) H)
✓	accuracy	99.4%	(/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
✓	accuracy	99.3%	(*.f64 H #s(literal -98/5 binary64))
✓	accuracy	74.9%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))
✓	accuracy	74.8%	(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))

Results

228.0ms	250×	0	valid
47.0ms	6×	5	exit

Compiler

Compiled 456 to 50 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 46.0ms (30% of total)

ival-div: 34.0ms (22.2% of total)

...c/correct-round.rkt:119:19: 25.0ms (16.3% of total)

ival-pow: 17.0ms (11.1% of total)

ival-atan: 14.0ms (9.1% of total)

ival-add: 8.0ms (5.2% of total)

backward-pass: 4.0ms (2.6% of total)

ival-sub: 4.0ms (2.6% of total)

const: 1.0ms (0.7% of total)

series73.0ms (0.7%)

Counts

29 → 624

Calls

Call 1

Inputs
#<alt (atan (* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4)))>
#<alt (* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4))>
#<alt (/ v (pow (+ (* v v) (* H -98/5)) 1/4))>
#<alt (pow (+ (* v v) (* H -98/5)) 1/4)>
#<alt (atan (* (/ (* v -5/49) H) v))>
#<alt (* (/ (* v -5/49) H) v)>
#<alt (/ (* v -5/49) H)>
#<alt (* v -5/49)>
#<alt (atan (* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v))>
#<alt (* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v)>
#<alt (/ 1 (+ v (* (/ 1 (/ v H)) -49/5)))>
#<alt (+ v (* (/ 1 (/ v H)) -49/5))>
#<alt (atan (/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)))>
#<alt (/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v))>
#<alt (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)>
#<alt (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v)))))>
#<alt (atan (/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))))>
#<alt (/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))))>
#<alt (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))>
#<alt (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))>
#<alt (pow (+ (* v v) (* H -98/5)) -1/4)>
#<alt (* H -98/5)>
#<alt (/ 1 (/ v H))>
#<alt (* (/ 1 (/ v H)) -49/5)>
#<alt (/ (* 2401/50 H) (* v (* v v)))>
#<alt (/ 49/5 v)>
#<alt (* 2401/50 H)>
#<alt (* H -49/5)>
#<alt (* H 49/5)>

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 (* (pow (/ -5/98 H) 1/4) v)>
#<alt (* v (+ (* 5/392 (* (pow (/ -5/98 (pow H 5)) 1/4) (pow v 2))) (pow (/ -5/98 H) 1/4)))>
#<alt (* v (+ (* (pow v 2) (+ (* 125/307328 (* (pow (/ -5/98 (pow H 9)) 1/4) (pow v 2))) (* 5/392 (pow (/ -5/98 (pow H 5)) 1/4)))) (pow (/ -5/98 H) 1/4)))>
#<alt (* v (+ (* (pow v 2) (+ (* 5/392 (pow (/ -5/98 (pow H 5)) 1/4)) (* (pow v 2) (+ (* 1875/120472576 (* (pow (/ -5/98 (pow H 13)) 1/4) (pow v 2))) (* 125/307328 (pow (/ -5/98 (pow H 9)) 1/4)))))) (pow (/ -5/98 H) 1/4)))>
#<alt (sqrt v)>
#<alt (* v (+ (sqrt (/ 1 v)) (* 49/10 (* H (sqrt (/ 1 (pow v 5)))))))>
#<alt (* v (+ (sqrt (/ 1 v)) (+ (* 49/10 (* H (sqrt (/ 1 (pow v 5))))) (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -115248/25 (pow H 2)) (* 230496/25 (pow H 2)))) (* 2401/200 (pow H 2)))))))>
#<alt (* v (+ (sqrt (/ 1 v)) (+ (* 49/10 (* H (sqrt (/ 1 (pow v 5))))) (+ (* (sqrt (/ 1 (pow v 9))) (+ (* 1/96 (+ (* -115248/25 (pow H 2)) (* 230496/25 (pow H 2)))) (* 2401/200 (pow H 2)))) (* (sqrt (/ 1 (pow v 13))) (+ (* 1/2880 (+ (* -135531648/25 (pow H 3)) (+ (* 45177216/25 (pow H 3)) (* 135531648/25 (pow H 3))))) (+ (* 49/960 (* H (+ (* -115248/25 (pow H 2)) (* 230496/25 (pow H 2))))) (* 117649/6000 (pow H 3)))))))))>
#<alt (* (sqrt v) (sqrt -1))>
#<alt (* -1 (* v (+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 5))))) (* -1 (* (sqrt (/ 1 v)) (sqrt -1))))))>
#<alt (* -1 (* v (+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 5))))) (+ (* -1 (* (sqrt (/ 1 v)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (pow v 9))) (* (sqrt -1) (+ (* 1/96 (+ (* -115248/25 (pow H 2)) (* 230496/25 (pow H 2)))) (* 2401/200 (pow H 2))))))))))>
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#<alt (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))>
#<alt (+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* 5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))) H)))>
#<alt (+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* 25/307328 (pow v 4)) (* 1/8 (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4)))))) H)) (* -5/392 (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))))) H)))>
#<alt (+ (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* -5/3136 (* (pow v 2) (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4))))) (+ (* -125/361417728 (pow v 6)) (* 1/24 (+ (* -375/470596 (pow v 6)) (+ (* -125/470596 (pow v 6)) (* 375/470596 (pow v 6)))))))) H)) (* (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))) (+ (* 25/307328 (pow v 4)) (* 1/8 (+ (* -25/9604 (pow v 4)) (* 25/4802 (pow v 4))))))) H)) (* -5/392 (* (pow v 2) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))))) H)))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ 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)>
#<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 (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (* 2401/50 (/ H (pow v 3)))>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (/ 49/5 v)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* 2401/50 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>

Calls

156 calls:

Time	Variable		Point	Expression
9.0ms	H	@	inf	(/ (* v -5/49) H)
8.0ms	H	@	-inf	(atan (* (/ (* v -5/49) H) v))
4.0ms	H	@	inf	(/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))
4.0ms	v	@	0	(/ v (pow (+ (* v v) (* H -98/5)) 1/4))
2.0ms	v	@	inf	(/ v (pow (+ (* v v) (* H -98/5)) 1/4))

rewrite399.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3058×	`/-lowering-/.f32`
3058×	`/-lowering-/.f64`
2814×	`-lowering-.f32`
2814×	`-lowering-.f64`
1780×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	251
1	280	225
2	2703	209
0	8209	209

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 742

Calls

Call 1

Inputs
(atan (* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4)))
(* (/ v (pow (+ (* v v) (* H -98/5)) 1/4)) (pow (+ (* v v) (* H -98/5)) -1/4))
(/ v (pow (+ (* v v) (* H -98/5)) 1/4))
(pow (+ (* v v) (* H -98/5)) 1/4)
(atan (* (/ (* v -5/49) H) v))
(* (/ (* v -5/49) H) v)
(/ (* v -5/49) H)
(* v -5/49)
(atan (* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v))
(* (/ 1 (+ v (* (/ 1 (/ v H)) -49/5))) v)
(/ 1 (+ v (* (/ 1 (/ v H)) -49/5)))
(+ v (* (/ 1 (/ v H)) -49/5))
(atan (/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)))
(/ v (- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v))
(- (* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v))))) v)
(* H (+ (/ 49/5 v) (/ (* 2401/50 H) (* v (* v v)))))
(atan (/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))))
(/ v (/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))))
(/ 1 (/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v)))))
(/ (+ v (/ (* H 49/5) v)) (+ (* v v) (* (/ (* H 49/5) v) (/ (* H -49/5) v))))
(pow (+ (* v v) (* H -98/5)) -1/4)
(* H -98/5)
(/ 1 (/ v H))
(* (/ 1 (/ v H)) -49/5)
(/ (* 2401/50 H) (* v (* v v)))
(/ 49/5 v)
(* 2401/50 H)
(* H -49/5)
(* H 49/5)

Outputs
(atan.f64 (.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 1/4 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)) v))
(/.f64 #s(literal 1 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 #s(literal -1 binary64) (neg.f64 (/.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 (neg.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(/.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)) v))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(/.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v)))
(/.f64 (neg.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 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v)))
(/.f64 (neg.f64 (.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) v))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64))))
(pow.f64 (/.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)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (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)) #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 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)) (/.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 -1/8 binary64)) (.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/8 binary64)) (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64))) (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -3/8 binary64)))
(.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/8 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/8 binary64)))
(exp.f64 (.f64 (log.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)))
(neg.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 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 1/4 binary64))))
(/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v))))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (neg.f64 (-.f64 #s(literal 0 binary64) v)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 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))
(pow.f64 (/.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)) #s(literal -1 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)) v)
(.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 -1/8 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 binary64)) v) #s(literal -1 binary64)))
(.f64 (.f64 v (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/8 binary64))) (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal -1/8 binary64)))
(exp.f64 (.f64 #s(literal 1/4 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 1/8 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 1/8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/8 binary64)) (.f64 (log.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64)))) #s(literal 1/8 binary64))))
(pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))) #s(literal 1/8 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 1/8 binary64))
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(.f64 (pow.f64 (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H #s(literal -98/5 binary64)) (-.f64 (.f64 H #s(literal -98/5 binary64)) (.f64 v v))))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (.f64 #s(literal 98/5 binary64) H))) #s(literal -1/4 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(exp.f64 (*.f64 (log.f64 (/.f64 v H)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 v H)))
(/.f64 H v)
(/.f64 #s(literal 1 binary64) (/.f64 v H))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v H)))
(/.f64 (-.f64 #s(literal 0 binary64) H) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) H))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) H)) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 #s(literal 1 binary64) H) v)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) v)) (neg.f64 (/.f64 #s(literal 1 binary64) H)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) H)) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 v H) #s(literal -1 binary64))
(pow.f64 (/.f64 H v) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 v H) (/.f64 v H)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 H v) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 v H))) #s(literal -1 binary64))
(*.f64 H (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 1 binary64) (/.f64 H v))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 v H)))
(*.f64 (/.f64 H v) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) v) H)
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) H)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) H)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 H v) #s(literal 1/2 binary64)) (pow.f64 (/.f64 H v) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 v (.f64 H #s(literal -49/5 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 H (/.f64 v #s(literal 49/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(/.f64 #s(literal -49/5 binary64) (/.f64 v H))
(/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v H)))
(/.f64 (/.f64 #s(literal 49/5 binary64) v) (neg.f64 (/.f64 #s(literal 1 binary64) H)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))
(/.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) v)
(/.f64 (neg.f64 (.f64 (.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 H (/.f64 #s(literal -49/5 binary64) v))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(*.f64 (/.f64 #s(literal 49/5 binary64) v) (-.f64 #s(literal 0 binary64) H))
(.f64 (.f64 H #s(literal 49/5 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(.f64 (.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 H v) #s(literal -49/5 binary64))
(.f64 (/.f64 #s(literal 1 binary64) v) (.f64 H #s(literal -49/5 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 H #s(literal -49/5 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H)
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (.f64 v (*.f64 v v)) H) #s(literal 2401/50 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v)))))
(neg.f64 (/.f64 (.f64 H #s(literal -2401/50 binary64)) (.f64 v (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 v v) (/.f64 (.f64 H #s(literal 2401/50 binary64)) v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)))))
(/.f64 (.f64 H #s(literal 2401/50 binary64)) (.f64 v (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 v v) (/.f64 (.f64 H #s(literal 2401/50 binary64)) v))))
(/.f64 (.f64 H #s(literal -2401/50 binary64)) (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))
(/.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) v) (.f64 v v))
(/.f64 (.f64 (.f64 H #s(literal 2401/50 binary64)) #s(literal 1 binary64)) (.f64 v (.f64 v v)))
(/.f64 (neg.f64 (.f64 H #s(literal -2401/50 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v)))))
(/.f64 (neg.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) v)) (neg.f64 (.f64 v v)))
(/.f64 (.f64 (/.f64 #s(literal 2401/50 binary64) v) H) (.f64 v v))
(/.f64 (.f64 #s(literal 2401/50 binary64) (/.f64 H (.f64 v v))) v)
(/.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) (.f64 v v)) v)
(/.f64 (/.f64 (/.f64 (*.f64 H #s(literal 2401/50 binary64)) v) v) v)
(/.f64 (neg.f64 (.f64 (.f64 H #s(literal 2401/50 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))))
(/.f64 (neg.f64 (neg.f64 (.f64 H #s(literal -2401/50 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 v (*.f64 v v))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) v))) (neg.f64 (neg.f64 (.f64 v v))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2401/50 binary64) v) H)) (neg.f64 (.f64 v v)))
(/.f64 (neg.f64 (.f64 #s(literal 2401/50 binary64) (/.f64 H (.f64 v v)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) (.f64 v v))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 H #s(literal 2401/50 binary64)) v) v)) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 (.f64 v (.f64 v v)) H) #s(literal 2401/50 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 v v) (/.f64 (.f64 H #s(literal 2401/50 binary64)) v)) #s(literal -1 binary64))
(.f64 H (.f64 #s(literal 2401/50 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v)))))
(.f64 H (/.f64 #s(literal 2401/50 binary64) (.f64 v (*.f64 v v))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal 2401/50 binary64)) (.f64 v (.f64 v v))))
(.f64 #s(literal 2401/50 binary64) (/.f64 H (.f64 v (*.f64 v v))))
(.f64 (.f64 H #s(literal 2401/50 binary64)) (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v))))
(.f64 (.f64 H #s(literal -2401/50 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v)))))
(.f64 (/.f64 #s(literal 2401/50 binary64) v) (/.f64 H (.f64 v v)))
(.f64 (/.f64 H (.f64 v v)) (/.f64 #s(literal 2401/50 binary64) v))
(.f64 (/.f64 H v) (/.f64 #s(literal 2401/50 binary64) (.f64 v v)))
(.f64 (/.f64 H v) (pow.f64 (/.f64 (.f64 v v) #s(literal 2401/50 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v))) (.f64 H #s(literal 2401/50 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v (.f64 v v))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 H #s(literal 2401/50 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (/.f64 (.f64 v v) (*.f64 H #s(literal 2401/50 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 H #s(literal 2401/50 binary64)) v) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(.f64 (/.f64 #s(literal 2401/50 binary64) (.f64 v v)) (/.f64 H v))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 (*.f64 H #s(literal 2401/50 binary64)) v))
(.f64 (pow.f64 (/.f64 (.f64 v v) #s(literal 2401/50 binary64)) #s(literal -1 binary64)) (/.f64 H 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 -49/5 binary64) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal -49/5 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v))))
(/.f64 #s(literal 49/5 binary64) v)
(/.f64 #s(literal 49/5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.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))))
(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) (-.f64 #s(literal 0 binary64) v)))
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v #s(literal -5/49 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 49/5 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)) #s(literal -49/5 binary64))
(*.f64 H #s(literal 2401/50 binary64))
(*.f64 #s(literal 2401/50 binary64) H)
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 49/5 binary64)))
(neg.f64 (*.f64 H #s(literal 49/5 binary64)))
(*.f64 H #s(literal -49/5 binary64))
(*.f64 #s(literal -49/5 binary64) H)
(*.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) H))
(.f64 #s(literal -1 binary64) (.f64 H #s(literal 49/5 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) H) #s(literal 49/5 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal -49/5 binary64)))
(neg.f64 (*.f64 H #s(literal -49/5 binary64)))
(*.f64 H #s(literal 49/5 binary64))
(*.f64 #s(literal -49/5 binary64) (-.f64 #s(literal 0 binary64) H))
(*.f64 #s(literal 49/5 binary64) H)
(.f64 #s(literal -1 binary64) (.f64 H #s(literal -49/5 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) H) #s(literal -49/5 binary64))

simplify380.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

6614×	`-lowering-.f32`
6614×	`-lowering-.f64`
4748×	`+-lowering-+.f64`
4748×	`+-lowering-+.f32`
1364×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1097	8587
1	3476	7777
0	8774	7777

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

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))))))
(* (pow (/ -5/98 H) 1/4) v)
(* v (+ (* 5/392 (* (pow (/ -5/98 (pow H 5)) 1/4) (pow v 2))) (pow (/ -5/98 H) 1/4)))
(* v (+ (* (pow v 2) (+ (* 125/307328 (* (pow (/ -5/98 (pow H 9)) 1/4) (pow v 2))) (* 5/392 (pow (/ -5/98 (pow H 5)) 1/4)))) (pow (/ -5/98 H) 1/4)))
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(sqrt v)
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(pow (* -98/5 H) 1/4)
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(sqrt v)
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(exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))
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(exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))
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(* -5/49 v)
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(* -5/49 v)
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(* -5/49 v)
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(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
(* -5/49 v)
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1
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1
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1
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v
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v
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v
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(* 2401/50 (/ H (pow v 3)))
(* 2401/50 (/ H (pow v 3)))
(* 2401/50 (/ H (pow v 3)))
(* 2401/50 (/ H (pow v 3)))
(* 2401/50 (/ H (pow v 3)))
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(/ 49/5 v)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* 2401/50 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)

Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(.f64 v (+.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(.f64 v (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 v v) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (.f64 v v)) (/.f64 (+.f64 (/.f64 #s(literal 625/368947264 binary64) (.f64 (.f64 H (.f64 H H)) #s(literal -5/98 binary64))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(.f64 v (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (.f64 (.f64 v v) (+.f64 (.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (.f64 (.f64 v v) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (/.f64 (.f64 (.f64 v v) (+.f64 (.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 625/368947264 binary64) (.f64 (.f64 H (.f64 H H)) #s(literal -5/98 binary64))) (/.f64 #s(literal 125/941192 binary64) (.f64 H (.f64 H H)))) H)) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 625/368947264 binary64) (.f64 (.f64 H (.f64 H H)) #s(literal -5/98 binary64))) (/.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 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 #s(literal -49/5 binary64) (.f64 H (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 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 (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(+.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (.f64 H (.f64 H H)) #s(literal -941192/125 binary64)) (.f64 #s(literal -49/5 binary64) (.f64 H (.f64 (.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 (.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))))) (+.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)) #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 7203/50 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal 4 binary64))))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+.f64 (.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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -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))))))
(+.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 (.f64 v (+.f64 (/.f64 (.f64 #s(literal 625/368947264 binary64) (.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal -5/98 binary64)) (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (+.f64 (.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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))))) (.f64 #s(literal -25/19208 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (.f64 v (.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (+.f64 (.f64 #s(literal -125/1882384 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (.f64 #s(literal -25/19208 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 H (.f64 H H)))) (/.f64 (.f64 (.f64 v (.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))) (/.f64 (+.f64 (.f64 #s(literal 125/1882384 binary64) (/.f64 (.f64 (sqrt.f64 H) (.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (.f64 (.f64 v (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -625/368947264 binary64) (.f64 H (pow.f64 v #s(literal 4 binary64)))) #s(literal 5/98 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (.f64 H (.f64 H H))))
(* (pow (/ -5/98 H) 1/4) v)
(*.f64 v (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/4 binary64)))
(* v (+ (* 5/392 (* (pow (/ -5/98 (pow H 5)) 1/4) (pow v 2))) (pow (/ -5/98 H) 1/4)))
(.f64 v (+.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 5/392 binary64) (.f64 v v)) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 5 binary64))) #s(literal 1/4 binary64)))))
(* v (+ (* (pow v 2) (+ (* 125/307328 (* (pow (/ -5/98 (pow H 9)) 1/4) (pow v 2))) (* 5/392 (pow (/ -5/98 (pow H 5)) 1/4)))) (pow (/ -5/98 H) 1/4)))
(.f64 v (+.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 (.f64 #s(literal 125/307328 binary64) (.f64 v v)) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 9 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 5/392 binary64) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 5 binary64))) #s(literal 1/4 binary64)))))))
(* v (+ (* (pow v 2) (+ (* 5/392 (pow (/ -5/98 (pow H 5)) 1/4)) (* (pow v 2) (+ (* 1875/120472576 (* (pow (/ -5/98 (pow H 13)) 1/4) (pow v 2))) (* 125/307328 (pow (/ -5/98 (pow H 9)) 1/4)))))) (pow (/ -5/98 H) 1/4)))
(.f64 v (+.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/4 binary64)) (.f64 (.f64 v v) (+.f64 (.f64 #s(literal 5/392 binary64) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 5 binary64))) #s(literal 1/4 binary64))) (.f64 (.f64 v v) (+.f64 (.f64 (.f64 #s(literal 1875/120472576 binary64) (.f64 v v)) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 13 binary64))) #s(literal 1/4 binary64))) (.f64 #s(literal 125/307328 binary64) (pow.f64 (/.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal 9 binary64))) #s(literal 1/4 binary64)))))))))
(sqrt v)
(sqrt.f64 v)
(* v (+ (sqrt (/ 1 v)) (* 49/10 (* H (sqrt (/ 1 (pow v 5)))))))
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(* (pow 1 1/4) (sqrt v))
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(* v (exp (* 1/4 (+ (log -5/98) (log (/ 1 H))))))
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(* v (exp (* 1/4 (+ (log 5/98) (log (/ -1 H))))))
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(+ (* 5/392 (/ (* (pow v 3) (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))) H)) (* v (exp (* 1/4 (+ (log 5/98) (log (/ -1 H)))))))
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(pow (* -98/5 H) 1/4)
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1/4 binary64))
(+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))
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(+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))
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(+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))
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(sqrt v)
(sqrt.f64 v)
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(+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))))
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(+ (sqrt v) (+ (* -49/10 (* H (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt (/ 1 (pow v 7))) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2)))) (* (sqrt (/ 1 (pow v 11))) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3))))))))
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(* (sqrt v) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 v))
(+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 3))))) (* (sqrt v) (sqrt -1)))
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(+ (* -49/10 (* (* H (sqrt -1)) (sqrt (/ 1 (pow v 3))))) (+ (* (sqrt v) (sqrt -1)) (+ (* (sqrt (/ 1 (pow v 7))) (* (sqrt -1) (+ (* -2401/50 (pow H 2)) (* 2401/200 (pow H 2))))) (* (sqrt (/ 1 (pow v 11))) (* (sqrt -1) (+ (* -235298/375 (pow H 3)) (+ (* -117649/6000 (pow H 3)) (* 117649/500 (pow H 3)))))))))
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(* (pow 1 1/4) (sqrt v))
(sqrt.f64 v)
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(+ (* H (+ (* -7203/200 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 7)))))) (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))))) (* (pow 1 1/4) (sqrt v)))
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(+ (* H (+ (* -49/10 (* (pow 1 1/4) (sqrt (/ 1 (pow v 3))))) (* H (+ (* -823543/2000 (* (pow 1 1/4) (* H (sqrt (/ 1 (pow v 11)))))) (* -7203/200 (* (pow 1 1/4) (sqrt (/ 1 (pow v 7))))))))) (* (pow 1 1/4) (sqrt v)))
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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)
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(* 2401/50 (/ H (pow v 3)))
(.f64 (/.f64 H (.f64 v (*.f64 v v))) #s(literal 2401/50 binary64))
(/ 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)
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* 2401/50 H)
(*.f64 H #s(literal 2401/50 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))

eval234.0ms (2.1%)

Compiler: Compiled 35003 to 4130 computations (88.2% saved)

prune199.0ms (1.8%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1389	10	1399
Fresh	7	23	30
Picked	4	1	5
Done	0	3	3
Total	1400	37	1437

Accuracy

100.0%

Counts

1437 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
	11.8%	(atan.f64 (/.f64 (+.f64 (.f64 v (.f64 v #s(literal -5/49 binary64))) (.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 #s(literal -25/2401 binary64) H))) (neg.f64 H)))
	9.1%	(atan.f64 (/.f64 (.f64 (/.f64 v (+.f64 (.f64 v (.f64 v v)) (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal -117649/125 binary64))))) (-.f64 (.f64 v (.f64 v (.f64 v v))) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))) (/.f64 v (.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (.f64 H #s(literal -49/5 binary64))))))) (-.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))))
	13.1%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal 5/49 binary64)) H))
	12.8%	(atan.f64 (/.f64 (.f64 (.f64 v v) #s(literal -5/49 binary64)) H))
	11.3%	(atan.f64 (/.f64 v (/.f64 (+.f64 (.f64 (.f64 H (.f64 H H)) (/.f64 #s(literal -117649/125 binary64) (.f64 v (.f64 v v)))) (.f64 v (.f64 v v))) (+.f64 (.f64 v v) (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v) v) (/.f64 #s(literal -5/49 binary64) H))))))
	12.8%	(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v #s(literal -5/49 binary64)) H))))
	33.3%	(atan.f64 (/.f64 v (-.f64 (/.f64 (+.f64 (.f64 H #s(literal 49/5 binary64)) (/.f64 (.f64 (.f64 H H) #s(literal 2401/50 binary64)) (.f64 v v))) v) v)))
	39.0%	(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
	38.3%	(atan.f64 (/.f64 v (-.f64 v (/.f64 H (/.f64 v #s(literal 49/5 binary64))))))
✓	74.1%	(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (.f64 v v) (.f64 H #s(literal -98/5 binary64))))))
	41.3%	(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
	26.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (.f64 H #s(literal 49/5 binary64)) (.f64 v v)) v) v)))
	12.7%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (/.f64 (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)) (.f64 v (.f64 v v)))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))) v)))
	13.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (.f64 v v)))) (.f64 v v)) v)))
	13.1%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
	20.8%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 v v) (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v)) (/.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v))) v)))
	39.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))) v)))
	33.0%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H))) v)))
	41.3%	(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
	14.4%	(atan.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 v (/.f64 (.f64 H #s(literal -49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) (.f64 v (.f64 v v)))) (*.f64 v v))))
	38.9%	(atan.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 v (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 H #s(literal -49/5 binary64)) (*.f64 v v))) v)))))
	31.9%	(atan.f64 (+.f64 #s(literal -1 binary64) (.f64 H (+.f64 (/.f64 (.f64 H #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (.f64 v v))))))
	41.3%	(atan.f64 (.f64 (pow.f64 (.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
✓	12.8%	(atan.f64 (.f64 (/.f64 (.f64 v #s(literal -5/49 binary64)) H) v))
	39.5%	(atan.f64 (.f64 (/.f64 v (pow.f64 (+.f64 (.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1/4 binary64))))
	11.3%	(atan.f64 (.f64 (/.f64 v (+.f64 (.f64 v (.f64 v v)) (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal -117649/125 binary64))))) (+.f64 (.f64 v v) (/.f64 (-.f64 (/.f64 (.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 v (.f64 H #s(literal -49/5 binary64)))))))
	11.3%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 v (.f64 v v)) (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal 117649/125 binary64)))) (+.f64 (.f64 v v) (.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))) v))
	12.8%	(atan.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (.f64 v #s(literal -5/49 binary64)))) v))
	38.3%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -5/49 binary64) H)))) v))
	5.0%	(atan.f64 (.f64 (.f64 (/.f64 (-.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 (.f64 (.f64 v v) (.f64 v (.f64 v (.f64 v v)))) (/.f64 (/.f64 (.f64 H (.f64 H H)) (/.f64 (.f64 v (.f64 v v)) #s(literal 117649/125 binary64))) (/.f64 (.f64 v (.f64 v v)) (.f64 (.f64 H (.f64 H H)) #s(literal 117649/125 binary64)))))) (+.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (/.f64 v (.f64 H #s(literal 49/5 binary64)))) (-.f64 (/.f64 (.f64 #s(literal -49/5 binary64) (/.f64 H v)) (/.f64 v (.f64 H #s(literal 49/5 binary64)))) (.f64 v v))))) v))
	12.8%	(atan.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v #s(literal -5/49 binary64))) v))
	12.8%	(atan.f64 (.f64 (.f64 v (*.f64 v #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H)))
	12.8%	(atan.f64 (.f64 (.f64 v #s(literal -5/49 binary64)) (/.f64 v H)))
	41.3%	(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
✓	33.1%	(atan.f64 #s(literal 1 binary64))
✓	33.8%	(atan.f64 #s(literal -1 binary64))

Compiler

Compiled 2178 to 846 computations (61.2% saved)

regimes127.0ms (1.2%)

Counts

70 → 3

Calls

Call 1

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

Outputs

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

(atan.f64 (/.f64 v (sqrt.f64 (*.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)))))))))

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

Calls

5 calls:

36.0ms	(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
22.0ms	v
21.0ms	(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
20.0ms	H
18.0ms	(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))

Results

Accuracy	Segments	Branch
99.9%	3	`v`
77.5%	2	`H`
87.2%	3	`(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))`
87.2%	3	`(/.f64 v (sqrt.f64 (-.f64 (.f64 v v) (.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))`
77.5%	2	`(.f64 (.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)`

Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes30.0ms (0.3%)

Counts

66 → 3

Calls

Call 1

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

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

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.3%)

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes37.0ms (0.3%)

Counts

57 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	v
15.0ms	H

Results

Accuracy	Segments	Branch
41.0%	2	`H`
70.2%	2	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
70.1%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
69.9%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
69.9%	3	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
65.1%	2	`v`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	v
1.0ms	H

Results

Accuracy	Segments	Branch
33.8%	1	`H`
33.8%	1	`v`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
30.0ms	4.0322503802375195e+108	4.421930306767426e+124
7.0ms	-1.9382289032191974e+163	-9.971793259950274e+151

Results

28.0ms	208×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 501 to 301 computations (39.9% saved)

Precisions

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

...c/correct-round.rkt:119:19: 9.0ms (43.4% of total)

ival-mult: 5.0ms (24.1% of total)

ival-div: 2.0ms (9.6% of total)

ival-sqrt: 2.0ms (9.6% of total)

ival-atan: 2.0ms (9.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
8.0ms	4.0322503802375195e+108	4.421930306767426e+124
7.0ms	-1.9382289032191974e+163	-9.971793259950274e+151

Results

11.0ms	96×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 134 to 105 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

...c/correct-round.rkt:119:19: 3.0ms (36.6% of total)

ival-mult: 2.0ms (24.4% of total)

ival-div: 1.0ms (12.2% of total)

ival-sqrt: 1.0ms (12.2% of total)

ival-atan: 1.0ms (12.2% of total)

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

const: 0.0ms (0% of total)

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

bsearch80.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	2.615608593960254e-123	4.148311858409034e-121
40.0ms	-1.4203145115074347e-61	-2.8806043895031783e-68

Results

43.0ms	256×	0	valid
6.0ms	52×	0	invalid

Compiler

Compiled 496 to 350 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sub: 18.0ms (46.9% of total)

ival-mult: 7.0ms (18.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (13% of total)

ival-atan: 3.0ms (7.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
36.0ms	1.3629779564397113e-292	3.186034232291399e-279

Results

18.0ms	160×	0	valid
9.0ms	98×	0	invalid

Compiler

Compiled 280 to 195 computations (30.4% saved)

Precisions

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

ival-mult: 6.0ms (32.4% of total)

...c/correct-round.rkt:119:19: 6.0ms (32.4% of total)

ival-sqrt: 2.0ms (10.8% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	-1.0999598848882564e-122	-5.303936195646802e-139

Results

18.0ms	160×	0	valid
12.0ms	78×	0	invalid

Compiler

Compiled 200 to 155 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

...c/correct-round.rkt:119:19: 8.0ms (37% of total)

ival-mult: 6.0ms (27.8% of total)

ival-sub: 3.0ms (13.9% of total)

ival-sqrt: 2.0ms (9.3% of total)

ival-div: 1.0ms (4.6% of total)

ival-atan: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.9981772967814945e-175	1.181104346481575e-172
34.0ms	-1.0999598848882564e-122	-5.303936195646802e-139

Results

39.0ms	288×	0	valid
18.0ms	145×	0	invalid

Compiler

Compiled 344 to 285 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 17.0ms (45.1% of total)

...c/correct-round.rkt:119:19: 6.0ms (15.9% of total)

ival-sqrt: 5.0ms (13.3% of total)

ival-div: 4.0ms (10.6% of total)

ival-sub: 2.0ms (5.3% of total)

ival-atan: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

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

bsearch78.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.3998090577656371e-151	1.4595647566092355e-142
31.0ms	-1.0999598848882564e-122	-5.303936195646802e-139

Results

33.0ms	304×	0	valid
11.0ms	125×	0	invalid

Compiler

Compiled 324 to 262 computations (19.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 11.0ms (39.1% of total)

...c/correct-round.rkt:119:19: 6.0ms (21.3% of total)

ival-div: 3.0ms (10.7% of total)

ival-sqrt: 3.0ms (10.7% of total)

ival-sub: 2.0ms (7.1% of total)

ival-atan: 2.0ms (7.1% of total)

const: 1.0ms (3.6% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-3.084877575227759e-271	-2.612415742517274e-271

Results

3.0ms	32×	0	valid
2.0ms	20×	0	invalid

Compiler

Compiled 40 to 35 computations (12.5% saved)

Precisions

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

ival-mult: 1.0ms (29.9% of total)

...c/correct-round.rkt:119:19: 1.0ms (29.9% of total)

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

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

const: 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)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
14×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	203
1	117	203
2	120	203
3	122	203
4	123	203

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 44000000000000001954916896649073240344402055080847833624854852332549455183266669402687409982286890123753078952082738211979264 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.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))))))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 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 -5372752940611471/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (atan.f64 (+.f64 #s(literal -1 binary64) (.f64 H (+.f64 (/.f64 (.f64 H #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (.f64 v v)))))) (if (<=.f64 v #s(literal 1162941958872971/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v)))))))
(if (<=.f64 v #s(literal 3145962986009053/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (atan.f64 (/.f64 v (-.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) v))) (atan.f64 (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -4692732775479909/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -6435747806372447/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4037804501679799/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -3620108141084501/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 6118522760578747/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (atan.f64 (.f64 (.f64 v #s(literal -5/49 binary64)) (/.f64 v H))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -2569565217849609/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624 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 44000000000000001954916896649073240344402055080847833624854852332549455183266669402687409982286890123753078952082738211979264 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (.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))))))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 5000000000000000186704668735729944859696637877245910190513865205189002540335748550689306685710563207526199514671096004608 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 -5372752940611471/1852673427797059126777135760139006525652319754650249024631321344126610074238976 binary64)) (atan.f64 (+.f64 #s(literal -1 binary64) (.f64 H (+.f64 (/.f64 (.f64 H #s(literal -2401/25 binary64)) (.f64 v (.f64 v (.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (.f64 v v)))))) (if (<=.f64 v #s(literal 1162941958872971/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (atan.f64 (.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v)))))))
(if (<=.f64 v #s(literal 3145962986009053/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) (atan.f64 (/.f64 v (-.f64 (/.f64 (.f64 H #s(literal 49/5 binary64)) v) v))) (atan.f64 (/.f64 v (+.f64 v (.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -4692732775479909/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -6435747806372447/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 4037804501679799/34808659497239648579720852704622583960672214563358764118798771041101647699040812580153753748454066465596331097210650690541753423472407821641942301328447068696990926165468330002463334596608 binary64)) (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -3620108141084501/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 6118522760578747/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (atan.f64 (.f64 (.f64 v #s(literal -5/49 binary64)) (/.f64 v H))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -2569565217849609/9516908214257811601907599988159363584840065290620124537956939899622020205826587990689077212775400643774711832257235027522909345571487396529861315719055325605011013378863743193233193022939505515969530853007049198118833591724018432564205433218231411731277088674906521042072098232413978624 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness2.4s (21.4%)

Rules

6534×	`-lowering-.f32`
6534×	`-lowering-.f64`
5962×	`-lowering-.f32`
5962×	`-lowering-.f64`
5492×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	6794
1	2351	6137
0	8028	6137
0	12	10
1	22	10
2	33	9
3	49	9
4	72	9
5	118	9
6	214	9
7	374	9
8	539	9
9	815	9
10	1054	9
11	1317	9
12	1422	9
13	1469	9
14	1516	9
15	1540	9
0	1540	9
0	323	1685
1	1004	1540
2	3661	1524
0	8173	1524
0	765	6743
1	2540	5984
0	8385	5984
0	9	35
1	38	31
2	276	31
3	2785	31
0	8187	31
0	49	251
1	280	225
2	2703	209
0	8209	209
0	37	201
1	196	181
2	1862	181
0	8906	181

Stop Event

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

Compiler

Compiled 781 to 511 computations (34.6% saved)

preprocess93.0ms (0.8%)

Compiler: Compiled 440 to 210 computations (52.3% saved)

analyze51.0ms (0.5%)

sample1.3s (11.8%)

preprocess103.0ms (0.9%)

explain165.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize74.0ms (0.7%)

series19.0ms (0.2%)

rewrite404.0ms (3.7%)

simplify262.0ms (2.4%)

eval38.0ms (0.3%)

prune39.0ms (0.4%)

simplify289.0ms (2.6%)

localize286.0ms (2.6%)

series36.0ms (0.3%)

rewrite425.0ms (3.9%)

simplify389.0ms (3.5%)

eval169.0ms (1.5%)

prune291.0ms (2.6%)

simplify212.0ms (1.9%)

localize301.0ms (2.7%)

series38.0ms (0.3%)

rewrite341.0ms (3.1%)

simplify386.0ms (3.5%)

eval244.0ms (2.2%)

prune246.0ms (2.2%)

simplify176.0ms (1.6%)

localize360.0ms (3.3%)

series73.0ms (0.7%)

rewrite399.0ms (3.6%)

simplify380.0ms (3.4%)

eval234.0ms (2.1%)

prune199.0ms (1.8%)

regimes127.0ms (1.2%)

regimes30.0ms (0.3%)

regimes29.0ms (0.3%)

regimes37.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch40.0ms (0.4%)

bsearch17.0ms (0.2%)

bsearch80.0ms (0.7%)

bsearch40.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch76.0ms (0.7%)

bsearch78.0ms (0.7%)

bsearch10.0ms (0.1%)

simplify17.0ms (0.2%)

soundness2.4s (21.4%)

preprocess93.0ms (0.8%)

end0.0ms (0%)

Profiling